Answers
x = -64
y = -63
z = -57
Step by step
the sum of the interior angles of a parallelogram is 360 degrees. The opposite interior angles are equal.
60 = -y -3
Add 3 to both sides
60 + 3 = -y -3 +3
Simplify
63 = -y or
y = -63
We know the sum of both angles = 60 + 60 = 120
360 - 120 = 240
So the sum of the other two angles = 240
Since the opposite interior angles are equal they will each equal half, or = 120.
-2z + 6 = 120
Subtract 6 from both sides
-2z +6 -6 = 120 -6
Simplify
-2z = 114
Divide
-z = 57
z = -57
Check your work
-2z + 6 = 120
-2(-57) +6 = 120
114 + 6 = 120
120 = 120 ✅
-2x -8 = 120
Add 8 to both sides
-2x -8 +8 = 120 +8
Simplify
-2x = 128
Divide
-x = 64
x = -64
Check your work
-2x -8 = 120
-2(-64) - 8 = 120
128 -8 = 120
120 = 120 ✅
Related Questions
Describe the transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4
A:The graph is vertically stretched by a factor of 1/3 and shifts up 4 units.
B:The graph is vertically stretched by a factor of 1/3 and shifts down 4 units.
C:The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.
D:The graph is horizontally compressed by a factor of 1/3 and shifts down 4 units.
Answers
The transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4 will be C. The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.
How to explain the transformationThe parent function f(x) = sin(x) has been transformed by replacing x with 3x in the argument of the sine function.
This results in a horizontal compression of the graph by a factor of 1/3. In addition, the graph of g(x) = sin(3x) is shifted upward 4 units, as indicated by the subtraction of 4 from the value of the sine function.
The correct option is C.
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Help me with this question…..
Answers
Answer:
In order from least to greatest, the numbers would be organized as such: [tex]\frac{2}{3}[/tex] , [tex]\sqrt{5}[/tex] , [tex]\frac{5}{2}[/tex] , [tex]\pi[/tex]. So C is the correct answer.
Step-by-step explanation:
At first glance, these numbers are not the simple whole and decimal numbers one might be used to. However, we can find their approximate values and order them correspondingly. [tex]\frac{2}{3}[/tex] is a fraction that is less than one, so on a number line it would be between 0 and 1, making it the smallest number out of the four. [tex]\sqrt{5}[/tex] and [tex]\frac{5}{2}[/tex] are both between 2 and 3, but [tex]\sqrt{5}[/tex] is approximately equal to 2.24, while [tex]\frac{5}{2}[/tex] is equal to 2.5. Therefore, we can conclude that [tex]\frac{5}{2}[/tex] is greater than [tex]\sqrt{5}[/tex]. Lastly, [tex]\pi[/tex] is a constant number that is the ratio of a circle's circumference to its diameter that equals approximately 3.14, so we can conclude that [tex]\pi[/tex] is the greatest number out of the four.
Now that we have the four numbers in an easier and visually more clear way to find their exact values, we know that the order of these numbers from least to greatest would be choice C: [tex]\frac{2}{3}[/tex] , [tex]\sqrt{5}[/tex] , [tex]\frac{5}{2}[/tex] , [tex]\pi[/tex] .
Have a great day! Feel free to let me know if you have any more questions :)
Part B
Landon thinks that the answer is
12 guests. He says, "10+ 4 = 14, and
14 rounds to 10. Then 10 X 12=120."
Do you agree with his reasoning? Explain
why or why not.
Answers
The number of guests that shared one platter is 10.
How to solve thisA. Since 3 people bring a total of 4 platters each, there are a total of 3 x 4 = 12 platters.
If the 120 guests share the platters equally, then each platter is shared by 120/12 = 10 guests. Therefore, 10 guests share 1 platter.
B. Landon's reasoning is incorrect.
While it is true that 3 people bring 4 platters each, the total number of platters is 3 x 4 = 12, not 7.
Therefore, 7 guests cannot be the correct answer. The correct answer is 10 guests share 1 platter, as explained in part A.
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Three people each bring 4 platters of food to a family reunion. The 120 guests all share the platters equally. A. How many guests share 1 platter? Explain your answer. 3.AR.1.2 B. Landon thinks that the answer is 7 guests. He says, " 3+4=7, and 7 rounds to 10 . Then 10×12=120." Do you agree with his reasoning
answers please just need help Thank you
Answers
Answer:
162π - 324 (exact) or 184.938
Step-by-step explanation:
You probably don't even need help on this one anymore, its just the same as the previous one I helped you with.
Diameter = a^2 + b^2 = c^2 = 18^2 + 18^2 = c^2
√648 = c (this is exact) so radius is √648/2
Area of square = lw = 324
Area of circle = (√648/2)^2π = (648/4)π = 162π
Area of shaded region = 162π - 324 (exact) or 184.938
Complete the Recursive formula.
Answers
Answer:
[tex]-13[/tex]
Step-by-step explanation:
The common difference of the arithmetic sequence is [tex]-13[/tex].
A researcher establishes that a patient reaction time R in minutes to a dose of particular drug is R(d)=d3+3d2-8where d is the amount of drug in milliliters that absorbed in the patients blood. find the patients reaction time when d=3
Answers
On solving the provided question, we can say that quadratic equation is 46.
What is quadratic equation?A quadratic equation is x ax² +bx +c = 0, which is a quadratic polynοmial in a single variable. a 0. The Fundamental Theοrem of Algebra ensures that it has at least οne solution since this polynomial is of second οrder. Solutions may be simple or cοmplicated.
An equation that is quadratic is a quadratic equatiοn. This indicates that it has at least οne word that has to be squared. The fοrmula "ax² + bx + c = 0" is one of the often used solutions for quadratic equatiοns. where are numerical cοefficients or constants a, b, and c. where the variable "X" is unidentified.
Quadratic equatiοn is
R(d) = d³ +3d² -8
R(3) = (3)³ +3(3)² - 8
R(3) = 27 + 27 - 8
R(3) = 46
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Raul tried to evaluate an expression step by step. \qquad\begin{aligned} &3 -(-5) - 7\\\\ \\ =&3+5-7&\green{\text{Step } 1}\\\\ \\ =&3+2&\blue{\text{Step } 2}\\\\ \\ =&5&\purple{\text{Step } 3} \\\\ \end{aligned} = = = 3−(−5)−7 3+5−7 3+2 5 Step 1 Step 2 Step 3
Answers
Raul made a mistake in evaluating the expression 3 - (-5) - 7 in B) Step 2 by not following PEMDAS.
What is PEMDAS?PEMDAS means Parentheses, Exponents, Multiplication and Division, Addition and Subtraction from left to right.
PEMDAS refers to the correct order for evaluating mathematical expressions.
The expression 3 - (-5) - 7 should be evaluated as follows:
3 - (-5) - 7
= 3 + 5 - 7
= 8 - 7
= 1
Thus, if Raul did not make a mistake in Step 2, he would have valued the expression as 1.
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Complete Question:Raul tried to evaluate an expression step by step.
3 - (-5) - 7
Step 1: 3 + 5 - 7
Step 2: 3 + 2
Step 3: 5
Find Raul's mistake.
Answer Options:A) Step 1
B) Step 2
C) Step 3
D) Raul did not make a mistake.
Rick was given 2 new gaming consoles for his birthday, one from each set of grandparents. He wants to return one of the consoles and use the store credit to buy new video games. He will receive $299 in store credit, and each video game costs $60. You can use a function to describe the amount of store credit he will have left after purchasing x video games. Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x. f(x)=
don't spam ;-;
Answers
The linear function for the amount of store credit he will have left after purchasing x video games is given as follows:
f(x) = 299 - 60x.
How to obtain alinear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
b = 299, which is the initial credit that he has.m = -60, as for each videogame purchased, the amount of credit decays by $60.Hence the function is given as follows:
f(x) = 299 - 60x.
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Arturo earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression n + 0.02n is one way to represent Arturo's pay per hour after the raise. Write an equivalent simplified expression that will represent his pay per hour after the raise.
Answers
Answer:
1.02n or 51/50n
Step-by-step explanation:
n + 2% raise = 1.02n and 50/51n
Evaluate the limit limx approches 0 x square+ x over x
Answers
Step-by-step explanation:
If we use direct substitution, we will get
[tex] \frac{0}{0} [/tex]
Which is intermediate from so we must use.algebraic manipulation
Let's divide everything by x
We would get
[tex] \frac{x + 1}{1} [/tex]
So the limit as x approaches 0 is
[tex]1[/tex]
Proof using a graph:
As x gets close and closer to 0, f(x) approaches 1. Limits does not care about discontinuity, only what the function gets closer to.
A bag of garden soil weighs 40 pounds and holds 5 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answers
75
Step-by-step explanation:
I think this is the answer I'm not sure I hope this helps
A boat has a top speed of 26 knots and a displacement of approximately 81000 tons. (1 knot= 1 nautical mile per hour; 1 metric ton =1000 kilograms)
Express the top speed in miles per hour and the displacement in metric tonnes.
(1 knot=1 nautical mile per hour; 1 metric tonne=1000 kilograms)
Answers
On solving the provided question we can say that 2 decimal places =29.92 miles per hour
what is decimal?Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point. A decimal number is, for instance, 25.5. In this instance, 25 is the entire number, while 5 is the
top speed is 26 knots,
1 knot = 1.15078 miles per hour
26 knots = 26 * 1.15078
= 29.92028 miles per hour
2 decimal places
=29.92 miles per hour
boat has a displacement of 96000 tons
1 ton = 0.907185 metric tonnes
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
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BRAINLIEST
QUICKLY HELPP
Answers
Answer:
BEF
What is an angle?An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.
What types of angles are there?There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).
Looking at the following answers provided, we can see that BEF is a proper angle, because it is made up of two rays in the proper order.
KGH on the other hand, is not. KGH would be a proper angle if it was in the correct order (GHK or KHG), but because it is not in the right order, it is not a proper angle. LEA is not a proper angle either. We know that an angle is made up of two rays, but LEA isn't, and it's the same with ADE.
Answer:
BEF and ADE
Step-by-step explanation:
These points when connected make and angle. The others do not as they sinply dont make sense or have the points in a way that makes the whole statement false.
2
The absolute value function, f(x) = x + 21, is shown.
4
3-
Mark this and return
~
--5-4-3-2-11- 1 2 3 4 5
77774
6
-2+
-3
10
If the graph is reflected over the x-axis, what is the
domain of the function?
TIME REMAINING
37:46
O all real numbers
O all real numbers greater than or equal to 0
Oall real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Save and Exit
Next
Submit
Answers
The correct option regarding the domain of the reflected absolute value function is given as follows:
All real numbers.
How to obtain the domain of a function?The domain of a function is the set that contains all possible input values for the function.
The absolute value function is defined for all real numbers, and the reflection does not change the domain, hence the domain is all real numbers.
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Hannah has to make 168 gallons of punch for a big party. The punch is made of soda and fruit drink. The cost of the soda is $1.57 per gallon and the cost of the fruit drink is $2.41 per gallon. Hannah's budget requires that the punch cost $1.66 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?
Gallons of soda =
Gallons of fruit punch =
Answers
The number of gallons of fruit drink is 118 gallons and the number of gallons of soda is 150 gallons.
How much fruit drink and soda does he need?The system of equations that represents the question is:
f + s = 168 equation 1
2.41f + 1.57s = (1.66 x 168)
2.41f + 1.57s = 278.88 equation 2
Where:
f = number of gallons of fruit drink s = number of gallons of sodaThe elimination method would be used to determine the required values
Multiply equation 1 by 2.41
2.41f + 2.41s = 404.88 equation 3
Subtract equation 2 from equation 3
126 = 0.84s
s = 126 / 0.84
s = 150
Substitute for s in equation 1
f + 150 = 168
f = 168 - 150
f - 118 gallons
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A
B
C
D
Pick a letter
Answers
Answer: D
Step-by-step explanation:
1 in.=1488 milesx5=7440 miles.
Area= pi x r^2
=pi x (7440)^2 or option D.
Hope this helps :)
5. Annette bought 8 dozen eggs from Mr. Joseph's Farm Store for $2,800.00. What was the price per dozen?
Answers
In a casee whereby Annette bought 8 dozen eggs from Mr. Joseph's Farm Store for $2,800.00 the price per dozen is $350 per dozen
How can the price per dozen be calculated?The concept that will be use here is division. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
The total dozen = 8 dozen eggs
The total price of the 8 dozen eggs $2,800.00
The price per dozen = $2,800.00/ 8 dozen
=$350 per dozen
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SAQ-18. The firm provides the following information: Annual requirement Cost per unit ........ Rent, tax, and insurance Insurance per order...... Required: a. EOQ ..... Rs. 20 Rs. 2 per unit ..Rs. 200 ...............100,000 units Carrying cost per unit per year ...........10% of unit price Cost per order...... ...........Rs. 300 b. Total Cost of EOQ c. Number of order
Answers
Note that the Economic Order Quantity is given as approximately 4,472.13 Units.
What is Economic Order Quantity?
Economic Order Quantity, also known as Economic Purchasing Quantity, is the order quantity in inventory management that minimizes overall holding costs and ordering expenses. It is one of the most ancient traditional production scheduling models.
EOQ = √[(2 * AR* OC)/CC]
Were AR = Annual Requirement = 100,000 units
OC = Ordering Cost = Rs 20 per unit
CC = Carrying Cost = 10% of Per Unit Cost
Per Unit Cost = Rs. 2
Thus,
EOQ = √[(2 * 100,000* 20)/10% * 2]
EOQ = √[(4000000)/0.2]
EOQ = √20000000
EOQ = 4472.135955
EOQ [tex]\approx[/tex] 4,472.13 Units.
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While on a camping trip with his friends, Finn made a pot of stew over the campfire. He
divided it equally among their 6 bowls. Each bowl had more than 2.5 cups of stew.
Let x represent how much stew Finn made. Which inequality describes the problem?
≥2.5
>2.5
Solve the inequality. Then, complete the sentence to describe the solution.
Finn made more than
cups of stew.
Submit
Answers
The inequality which describes the problem about the pot of stew Finn made is x/6 > 2.5
Which inequality describes the problem?Number of bowls= 6
Quantity of stew in each bowl > 2.5
Quantity of stew Finn made = x
The inequality
Quantity of stew Finn made / Number of bowls > Quantity of stew in each bowl
x/6 > 2.5
Therefore, x divided by 6 greater than 2.5 is the inequality which describes the situation.
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Find the area of the figure. Round to the nearest tenth, if necessary.
Answers
Figure ABCD is a kite.
Find the value of x.
A
X =
= [?]
14x - 22
H
B
C
Answers
The value of x is equal to 8, in the equation 14x -22.
What is equation?An equation is a mathematical statement consisting of two expressions joined by an equal sign.
Solution:
The diagonals of the dragon intersect at right angles. This gives a solvable relationship for x.
setting the displayed dimensions correspond to 90° angular dimensions.
14x -22 = 90
You can solve this two-level linear equation in the usual way.
14x = 112. . . . . . Step 1, add the reciprocal of the constant to get just x
x = 112/14 = 8 . . . Step 2, divide by the factor of x
Hence, the value of x is 8.
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A right rectangular prism has a square base with sides 1/2 in. Long. The volume of the prism is 3/8 in to the third power. What is the prism?
Answers
Answer:
If the base of the right rectangular prism is a square with sides that are 1/2 inch long, then the area of the base is (1/2)^2 = 1/4 square inches.
Since the volume of the prism is given as 3/8 cubic inches, we can use the formula for volume of a right rectangular prism (V = Bh) to solve for the height of the prism:
V = Bh
3/8 = (1/4)h
Multiplying both sides by 4, we get:
3 = h
So the height of the prism is 3 inches.
Therefore, the right rectangular prism has a square base with sides 1/2 inch long and a height of 3 inches, making it a 1/2 x 1/2 x 3 inch rectangular prism.
look at the image below
It's due in 1 hour help Asap
I am giving away 18 points and Will mark brainiest to the correct answer
Answers
Answer:
For -- (1.) 38 / 1 ( apples and baskets)
It is 304 apples distributed evenly among 8 baskets.
For -- (3.) 42 / 1 (apples and baskets)
It is 294 apples distributed evenly among 7 baskets.
Step-by-step explanation:
For the 2nd one, I don't see an answer relating to it. Are there more options when you scroll down?
I hope the other 2 answers helped.
Trigonometry question
Answers
The value of sin(tetha/2) is ±√½(1-8/√113)
What are half angles?In trigonometry, the half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. If θ is an angle, then the half angle is represented by θ/2.
if tan(tetha) = 7/8
this means that 7 is the opposite and 8 is the adjacent
hyp² = opp² +adj²
hyp² = 49+64
hyp = √113
sin(tetha/2) = ±√1-cos(tetha))/2
= ±√1-(8/√113))/2
therefore the value is sin(tetha)/2
= ±√1-(8/√113))/2 or ±√½(1-8/√113)
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Construction each spatial figures
Blue pyramid
Black cown
Yellow cube
Green rectangular prism
Red silendar
Violet sphere
Answers
A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a common point. The height of a pyramid is the perpendicular distance from the base to the apex.
How to explain the shapesA cube is a three-dimensional shape that has six square faces of equal size. All angles of a cube are right angles, and all edges have the same length. The volume of a cube is given by the formula V = s³ where s is the length of one edge.
A rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces are congruent and parallel, and all angles are right angles. The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the lengths of the three perpendicular edges.
A sphere is a three-dimensional shape that is perfectly round and has no edges or corners. It is defined as the set of all points in three-dimensional space that are equidistant from a given point called the center. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.
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Simplify.
(-32)^-9/5
Answers
Answer: undefined
Step-by-step explanation: can’t raise a negative number to a integer exponent
19. The mass of a radioactive element is 35
milligrams. The mass of the element decreases by
12.9% every year.
a. Write a function that represents this situation.
b. Predict the mass of the element in 4 years. Round
your answer to the nearest tenth.
c. Will the mass of the radioactive element ever be 0
milligrams? Explain.
Answers
a) The function that represents this situation is,
⇒ y = 35 (1 - 12.9%)ⁿ
Where, 'n' is number of years and 'y' is mass of element.
b) For 4 years, the mass of the element is, 19.95 milligrams
c) No, the mass of the radioactive element will never be 0 milligrams.
What is expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
The function that represents this situation is,
⇒ y = 35 (1 - 12.9%)ⁿ
Where, 'n' is number of years and 'y' is mass of element.
Now, For 4 years, the mass of the element is,
⇒ y = 35 (1 - 12.9%)ⁿ
⇒ y = 35 (1 - 12.9%)⁴
⇒ y = 35 (1 - 0.129)⁴
⇒ y = 35 (0.87)⁴
⇒ y = 35 × 0.57
⇒ y = 19.95 milligrams
No, the mass of the radioactive element will never be 0 milligrams.
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nellie is analyzing a quadratic function f(x) and a linear function g(x). will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Answers
Yes, It intersect at positive x-coordinates.
What is Equation of line?The equation of line in point-slope form which passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, Slope (m) = (y₂ - y₁) / (x₂ - x₁)
Given that;
The function f (x) is defined in graph.
Now, The function g (x) is defined as,
⇒ y - 5 = (10 - 5) / (2 - 1) (x - 1)
⇒ y - 5 = 5 (x - 1)
⇒ y - 5 = 5x - 5
⇒ y = 5x
Clearly, By the graph of functions f (x) and g (x), both intersect at positive x - coordinate.
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Graph the following equation -3y+6x+=6
Answers
Answer:
Step-by-step explanation: Here's a step-by-step guide on how to graph the equation -3y + 6x = 6:
Isolate y: To isolate y, first subtract 6x from both sides of the equation: -3y + 6x = 6 => -3y = -6x + 6.
Divide both sides of the equation by -3: Dividing both sides of the equation by -3, we get: -3y / -3 = (-6x + 6) / -3.
Simplify the equation: On simplifying the equation, we get: y = 2x - 2.
Plot the y-intercept: The y-intercept of the equation is when x = 0. So, when x = 0, y = 2 * 0 - 2 = -2. This point is (0, -2). Plot this point on the graph.
Plot a second point: Pick a value of x and plug it into the equation to find the corresponding y value. For example, let's take x = 1. Plugging x = 1 into the equation, we get y = 2 * 1 - 2 = 0. This point is (1, 0). Plot this point on the graph.
Draw the line: Connect the two points plotted on the graph. This line represents the solution set of the equation.
That's it! You have successfully graphed the equation -3y + 6x = 6.
Answer:
Step-by-step explanation:
PLEASE HELP!!
i think it wants it in the form of
m = y2-y1
——————
x2-x1
but i could be wrong please please please help if you can it’s greatly appreciated
Answers
a) Two different ways.
x = ln(32)/ln(2)
2^x = 2^5
b) Only the natural logarithm way can be used.
c) x = 3.58
How to solve the equation?We want to solve:
2^x = 32
in two ways.
The first way is trivial, apply the natural logarithm to both sides:
ln(2^x) = ln(32)
x = ln(32)/ln(2)
The second way is the next one:
2^x = 32
The right number can be written as:
4*8 = 32
Now we can factorize the left side:
4*8 = (2*2)*(2*2*2) = 2^5
Replacing that we get:
2^x = 2^5
So we know that x = 5.
b) The second way can't be used to solve:
2^x = 12
Because 12 has a factor different than 2.
c) Using the natural logarithm way:
x = ln(12)/ln(2) = 3.58
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