Answers
Using angle relationships, the missing measures are:
m<3 = 138 degrees.
m<5 = 42 degrees.
m<8 = 138 degrees.
How to Find the Missing Angles?Using angle relationships, each of the measure of the angles can be calculated as follows:
Given that, m<1 = 138 degrees.
m<3 = m<1 [vertical angles are congruent]
Substitute:
m<3 = 138 degrees.
m<5 + m<3 = 180
Substitute:
m<5 + 138 = 180
m<5 = 180 - 138
m<5 = 42 degrees.
m<8 = m<3 [alternate interior angles are congruent]
m<8 = 138 degrees.
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Related Questions
PLEASE HELP QUICKLY
Answers
The pythagorean theorem is basically the 1 leg squared + 2nd leg squared = slanted side (hypotenuse) squared. Or a squared + b squared = c squared
Plug in.
4^2 + 10^2 = c^2
16 + 100 = 116
Square root of 116 (rounded): 10.77 or 10.8
Answer: 10.7 or 10.8
Step-by-step explanation:
so, first [tex]a^{2} +b^{2} =c^{2}[/tex]
while [tex]a = 3.75[/tex] and [tex]b=10[/tex] and [tex]c=?[/tex]
so, it will be written as,
[tex]3.75^{2} +10^{2} =c^{2} \\[/tex]
[tex]14.0625+100=c^2[/tex]
[tex]114.0625=c^2[/tex] then square root both sides to have an answer of:
[tex]10.7=c[/tex]
That's if you are going to use the [tex]a=3.75[/tex]. as written in the question...
while if you're going to use [tex]a=4[/tex] (as shown in the figure) then only change the 3.75 with 4.
which will equal to...
[tex]4^2+10^2=c^2[/tex]
[tex]16+100=c^2[/tex]
[tex]116=c^2[/tex] then square root both sides to have an answer of:
[tex]10.77=c[/tex]
[tex]10.8[/tex] ≈ [tex]c[/tex]
hope you've understanded.!
Hual takes out a $3200 student loan at 6.4% to help him with 2 years of community college. After finishing the 2 years, he transfers to a state university and
borrows another $12,400 to defray expenses for the 5 semesters he needs to graduate. He graduates 4 years and 4 months after acquiring the first loan and
payments are deferred for 3 months after graduation. The second loan was acquired 2 years after the first and had an interest rate of 7.6%. Find the total
amount of interest that will accrue until payments begin.
(a) Find the total amount of interest that will accrue for loan 1 (community college).
The total amount of interest that will accrue for loan 1 (community college) is $_____ Round your answer to two decimal
places, if necessary.
Part 2 of 3
A ALEKS-Erika Ramirez - Test 2-Chapter 7
(b) Find the total amount of interest that will accrue for loan 2 (state university).
The total amount of interest that will accrue for loan 2 (state university) is $____
Answers
Answer:
a) $4096 b) $1884,8 ■■ im not 100% sure
Step-by-step explanation:
a) 3200×0.064×2=$4096 in intrest
b) 12,400×0.076×2=$1884,8 in intrest
Solve for x, each figure is a trapezoid
Answers
From the given trapezoid the value of the x is 1.
What is the trapezoid?
The sum of all the angles in a trapezoid is equal to 360°. The sum of the angles on the same side is equal to 180°.
We have,
Since a Trapizode has 360 Degrees total and since the sides are equal we can say that
180 = 66 + ∠R
∠R = 180 - 66
∠R = 114
so,
180 = 66 + (-2 + 116x)
180 = 66 - 2 + 116x
180 = 64 + 116x
180 - 64 = 116x
116 = 116x
x = 1
Therefore, from the given trapezoid the value of the x is 1.
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Problem 1. Compute the complex norm |z|= √zz for the following complex numbers z:
1. z = −i
2. z = (2 + i)2
3. z = (3 −4i)3
4. z = (3 + 4i)3
Answers
Recall that the complex norm (or modulus) of a complex number z = a + bi is defined as the nonnegative square root of the product of the complex number and its conjugate, i.e., |z| = √(z × z*), where z* is the complex conjugate of z.
Using this definition, we can calculate the complex norm of each of the given complex numbers as follows:
[tex]z = -i\\z* = i (conjugate of -i)\\|z| = √(z z*) = √(-i i) = √1 = 1Therefore, |z| = 1.[/tex][tex]z = (2 + i)^2\\z* = (2 - i)^2 (conjugate of (2 + i)^2)\\|z| = √(z z*) = √((2 + i)^2 (2 - i)^2) = √((2^2 + 2i + i^2) (2^2 - 2i + i^2))= √((4 + 4i - 1) (4 - 4i - 1)) = √(9 * 9) = 9Therefore, |z| = 9.[/tex][tex]z = (3 - 4i)^3\\z* = (3 + 4i)^3 (conjugate of (3 - 4i)^3)\\|z| = √(z z*) = √((3 - 4i)^3 (3 + 4i)^3) = √((3^2 - (4i)^2)^3) = √(25^3) = 125Therefore, |z| = 125.[/tex][tex]z = (3 + 4i)^3\\z* = (3 - 4i)^3 (conjugate of (3 + 4i)^3)\\|z| = √(z z*) = √((3 + 4i)^3 (3 - 4i)^3) = √((3^2 - (4i)^2)^3) = √(25^3) = 125Therefore, |z| = 125.[/tex]What is complex number?A complex number is a number that can be expressed in the form [tex]a + bi[/tex], where a and b are real numbers, and i is the imaginary unit defined by [tex]i^{2} = -1[/tex]. The real part of the complex number is a, and the imaginary part is bi.
Complex numbers can be added, subtracted, multiplied, and divided in a manner similar to real numbers. They can also be graphed on a complex plane, where the horizontal axis represents the real part and the vertical axis represents the imaginary part.
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A cellular phone company uses the formula $16+ $0.04m to calculate each subscriber's monthly
bill, where m is the number of minutes used. If Angelo uses 142 minutes on his phone this month,
how much will his bill be?
Answers
$16 + 0.04 * 142 = 16 + 5.68 = 21.68$
So Angelo's monthly bill will be $21.68.
Number 1 solve use counting principle
Answers
The number of ways 3 man and 3 woman line up at the counter in a store is 720 ways.
What are factorials?Factorials is defined as the mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that is n is given as 4, then it's factorial would be = 4×3×2×1 = 24.
Given that, three men and three women line up at a checkout counter in a store.
a) Number of ways = 6!
= 6×5×4×3×2×1
= 720 ways
b) The first person in line is a woman, and then the line alternates by gender that is a woman, a man, a woman, a man, a woman, a man, and so on
There are 3 number of ways for woman standing in the odd position and for men standing in the even position.
So, number of ways = 3!×3!
= 3×2×1×3×2×1
= 36 ways
c) There are 3 men and 3 women.
Probability first is a woman is 3/6
Probability second is a man is 3/5
Probability third is a woman is 2/4
Probability fourth is a man is 2/3
Probability fifth is a woman is 1/2
Probability sixth is a man is 1/1
Multiply all these probabilities together and you get:
3/6 × 3/5 × 2/4 × 2/3 × 1/2 × 1/1 = 0.05
Therefore, the number of ways 3 man and 3 woman line up if the first person in line is a woman, and then the line alternates by gender that is a woman is 36 ways.
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5. Abbey and Blanca are playing games at the arcade in the mall. Abbey has $20 and is playing a
game that costs 50 cents per game. Blanca arrived at the arcade with $22 and is playing a game that
costs 75 cents per game.
(a) Create two linear equations below that give the amount that each girl has left as a function of the
number of games they have played.
Let the number of games played = x.
A=
B =
(b) After how many games will the two girls have the same amount of money left?
(c) How much money do they have at this point?
Answers
Answer:
A = 0.50x+20
B= 0.75x+22
4 games
$19
Step-by-step explanation:
For abbey, the 20 dollars she starts with is the initial value. the 50 cents per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be A = 0.50x + 20. For Bianca, the 22 dollars she starts with is her initial value. the 75 centers per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be B = 0.75x + 22.
We can find out when they will have the same amount of money left by making two small tables -> one for abbey and one for Bianca.
Abbey: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)
21.502019.501918.50Bianca: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)
21.2520.519.751918.25For both girls after four games, they have the same amount of money- $19.
What is the length of GI
Answers
Check the picture below.
so the triangles are similar by AA.
[tex]\cfrac{GI}{10}~~ = ~~\cfrac{15}{12}\implies \cfrac{GI}{10}~~ = ~~\cfrac{5}{4}\implies 4GI=50\implies GI=\cfrac{50}{4}\implies GI=12.5[/tex]
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Tom is adding soil to his raised garden bed. The depth of the soil is currently 8 inches, and for each bag of soil he adds, the depth will increase by
1/2 of an inch. You can use a function to describe the depth of the soil in the garden bed after Tom adds x bags of soil.
Write an equation for the function. If it is linear, write it in the form h(x)=mx+b. If it is exponential, write it in the form h(x)=a(b)^x.
Answers
Answer:
h(x) = 0.5x + 8
Step-by-step explanation:
We are being asked to write an equation where h(x) represents the soil depth in inches and x describes the number of bags. To do this, we need to find b (our y-intercept, ie the value of h(x) or y when x=0) and m (our slope).
"The depth of the soil is currently 8 inches": this means before any bags are added (ie when x=0), the soil depth starts at 8. This makes 8 our y-intercept (b in h(x)=mx+b) as we have to add it on to however much the bagged soil adds in order to get the total depth.
"For each bag of soil he adds, the depth will increase by 1/2 of an inch": this means that the soil depth from added bags is equal to the amount of bags times 0.5, which makes 0.5 our slope (m in h(x)=mx+b).
Therefore our answer is:
h(x) = 0.5x + 8
If x = logb2 and y = log b5, express log b100 in terms of x and y.
logb100=____?
Answers
Using logarithm expressing log b100 in terms of x and y is logb100 = 2y + x
What is the logarithm of a number?The logarithm of a number x to base a written as logₐy is such that when a is raised to the power of x,it equals y.
How to express logb100 in terms of x and y?Since
x = logb2 and y = log b5,We desire to express logb100 in terms of x and y.
So, we proceed as follows.
We have logb100, re-writing this, we have
logb100 = logb(25 × 2)
Now, applying the addition law of logarithm which states that
logab = loga + logb.
So, we have that
logb100 = logb(25 × 2)
logb100 = logb25 + logb2
= logb5² + logb2
Now applying the power rule of logarithm which states that logaⁿ = nloga
So,
logb100 = logb5² + logb2
= 2logb5 + logb2
= 2y + x
So, logb100 = 2y + x
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Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 14 total hours and must earn no less than $180. If Camden worked 9 hours lifeguarding, determine the minimum number of whole hours babysitting that he must work to meet his requirements.
If there are no possible solutions, submit an empty answer.
Answers
Answer: 2 hours babysitting
Step-by-step explanation:
18 x 9 = 162
180-162= 18
meaning he'd have to work 2 hours babysitting to get to meet his requirement.
hours used = 11
hours left= 3
2-81
When graphing the function f(x)= x2-11x+18
window for determining the domain and range of the function?
O Xmin: -10, Xmax: 10
Ymin: –10, Ymax: 10
O Xmin: -5, Xmax: 5
Ymin: –5, Ymax: 5
Xmin: 0, Xmax: 10
Ymin: 0, Ymax: 10
O Xmin: -10, Xmax: 0
Ymin –10 Ymax: 0
on your graphing calculator, what is the most appropriate viewing
Answers
The most appropriate viewing range for the quadratic function is given as follows:
Xmin 0, Xmax 10.YMin - 15, Ymax, 15.How to obtain the viewing range?The quadratic function for this problem is defined as follows:
f(x) = x² - 11x + 18.
The function can be factored as follows:
f(x) = (x - 2)(x - 9).
Hence the roots are:
x - 2 = 0 -> x = 2.x - 9 = 0 -> x = 9.Meaning that the viewing range should include x = 2 and x = 9.
The coefficients of the function are:
a = 1, b = -11, c = 18.
Hence the x-coordinate of the vertex is of:
x = -b/2a
x = 11/2
x = 5.5.
Hence the minimum value of the function is the y-coordinate of the vertex, given as follows:
y = 5.5² - 11(5.5) + 18
y = -12.25.
Meaning that Ymin should be less than -12.25.
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PLS HELP ANSWER QUICKLY PLS
Answers
Answer:
10
Step-by-step explanation:
a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
c = 10
A sports trophy is in the shape of a cup
30 cm high. The winners are each given
copies of the cup, 7 cm high. One of the
copies holds 100 ml. What is the capacity of the trophy in liters?
Answers
The capacity of the trophy that us 30 cm high is 0.4286 liter
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
7 cm height cup holds 100 ml. Therefore:
7 cm = 100 ml
For a 30 cm height trophy:
30 cm = 30 cm * 100 ml per 7 cm = 428.57 ml
1000 ml = 1 l
428.57 ml = 428.57 ml * 1 liter per 1000 ml = 0.4286 liter
The capacity of the trophy is 0.4286 liter
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In the division example at the right A and B represent
different digits. What is the sum of A and B if the
remainder is zero?
Answers
In the division example at the right A and B represent different digits. The sum of A and B if the remainder is zero is 8.
What is Division?
This is one of the four basic mathematical operations and it is the process of splitting a number or an amount into equal parts.
The table shows all possible answers for A÷B with no remainder when digits from 1-9 for A and B are considered.
Since A is not equal to B such as A=6, B=2, divides it with no remainder. Therefore the sum of A and B is 8, so the cell (6,2) contains 8.
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Write the simplest polynomial function with the given zeros: -2 , 2 , 3
Answers
Step-by-step explanation:
Zeros is another term for X intercepts.
We'd right the simplest form as (x-/+a), a being the zero
Just remember when you do that, change the signs. It shows -2, +2, +3. That becomes +2, -2, -3
Following that simple form, we get
[tex](x + 2)(x - 2)(x - 3)[/tex]
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the equation given the replacement set?
25 - 3r = 10; {3, 4, 5, 6,}
Responses
3
4
5
6
Answers
Answer:
r = 5
Step-by-step explanation:
25 - 3r = 10 ( subtract 25 from both sides )
- 3r = - 15 ( divide both sides by - 3 )
r = 5
the solution from the replacement set is 5
Mann Park is the shape of a triangle.
On a map, it has borders that measure 5 inches inches, 7 inches
and 9 inches. If the shortest border of Mann Park is
1000 meters long, how long in meters, is its longest
border?
Answers
The longest border of the Mann's park is 228.6 meter.
What is Triangle inequality theorem ?The Triangle Inequality It is a basic principle of geometry that the lengths of any two sides of a triangle must add up to more than the length of the third side. In other words, the longest side of any triangle must be shorter than the total length of the other two sides.
In this case, the shortest side of Mann Park measures 5 inches, and the two longer sides measure 7 inches and 9 inches.
So, the sum of the lengths of the two longer sides is:
' 7 inches + 9 inches = 16 inches.
Since 5 inches is less than 16 inches, we know that the 5-inch side is the shortest side, and the 9-inch side is the longest side.
One inch is approximately equal to 0.0254 meters, so we have:
= 9 inches x 0.0254 meters/inch
= 0.2286 meters
Since the shortest side is 1000 meters long, the longest side is:
= 1000 meters x 0.2286 meters/inch
= 228.6 meters long.
Therefore, the longest border of Mann Park is approximately 228.6 meters long.
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Solve the formula A=1/2h (a+b) for b 
Answers
A = 1/2 h(a+b)
multiply by 2
2A = h(a+b)
divide by h
2A/h = a + b
subtract a
(2A/h) - a = b
which can be rewritten the other way around for
b = (2A/h) - a
Your friend wants to write code for Linux computer systems and says, “Why do I need to install Linux? I never open it and use it the way I do my browser.” How would you explain to your friend the difference between an operating system like Linux and an application like their web browser? In your answer, discuss how both Linux and at least one other operating system function, comparing those to an application like a browser.
Answers
Answer:
That's not math. Please classify your question correctly.
12. "The sum of 9 and the product of a number and -7 is -19
Answers
Answer:
Step-by-step explanation:
We can use algebra to solve for the unknown number. Let's call the number "x".
The equation can be written as:
9 + x * (-7) = -19
Expanding the product on the left side:
9 + -7x = -19
Subtracting 9 from both sides:
-7x = -28
Dividing both sides by -7:
x = 4
So the number x is 4.
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 18 centimeters. The height of the figure is 12 centimeters. The portion from the vertex to the perpendicular height is 4 centimeters. The portion from a point to a vertical line created by two vertices is 3 centimeters.
Which of the following represents the total area of the figure?
222 cm2
240 cm2
258 cm2
294 cm2
Answers
The total area of the figure is 258cm². Thus, option 3 is corect.
Given:
shorter side: 18 centimeters
perpendicular height : 4 centimeters
portion from a point to a vertical line created by two vertices : 3centimeters
height : 12 centimeters
from figure we know that, it is the vertex's height as well as the length of the sides to multiply together and we also have to divide since there is 5 sides
So , after multiplying the vertex height and sides and dividing it by the 5 , we get 258 cm²
Hence , the total area of the figure is 258cm².
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15. "Twice a number, increased by 13, is -21.“
Answers
Answer:
Step-by-step explanation:
(X=the number)
2x+13=-21
(-21)-13=34
34x2=68
How can using a 'Polygon Family Tree' help you to classify 2D figures into a hierarchy of sets and subsets?
Answers
Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.
What are plane figures?A figure that totally resides in one plane is referred to as a plane figure or a two-dimensional figure. Two-dimensional figures are drawn when you sketch, whether by hand or with a computer programme. Two-dimensional models of actual objects can be found in blueprints.
Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.
How do you classify 2D figures?Circles, triangles, squares, rectangles, pentagons, quadrilaterals, hexagons, octagons, and other basic 2D shapes include these. All shapes—aside from the circle—are categorized as polygons because they have sides. Regular polygons are those with equal sides and angles on all of their faces.
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Is the pair of events dependent or independent? Explain 14. You pick a number between 1000 and 5000. Then you flip a coin.
Answers
Answer:
Step-by-step explanation:
Here is a step-by-step explanation of the independence of the pair of events of choosing a number between 1000 and 5000 and flipping a coin:
Understanding the definition of independent events: Independent events are events that have no influence on each other. The outcome of one event does not affect the outcome of the other.
Event 1: Choose a number between 1000 and 5000: This event involves randomly selecting a number within the specified range.
Event 2: Flip a coin: This event involves flipping a coin and observing whether it lands on heads or tails.
Check for influence: To determine whether the events are independent, we need to check if the outcome of one event affects the outcome of the other. In this case, the outcome of the coin flip has no effect on the number you choose, and your choice of number has no effect on the outcome of the coin flip.
Conclusion: Since the outcome of one event does not affect the outcome of the other, the pair of events of choosing a number between 1000 and 5000 and flipping a coin are considered independent.
So, the pair of events of choosing a number between 1000 and 5000 and flipping a coin are independent events.
Please verify my answer. I am not sure if it is correct.
Answers
now, we're making the assumption we're simply doing an identity proof, so
[tex]sec(\theta )-tan(\theta )sin(\theta )=\cfrac{1}{sec(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE 1st step} }{\cfrac{1}{cos(\theta )}-\cfrac{sin(\theta )}{cos(\theta )}\cdot sin(\theta )}\implies \cfrac{1}{cos(\theta )}-\cfrac{sin^2(\theta )}{cos(\theta )}\implies \cfrac{1-sin^2(\theta )}{cos(\theta )}\implies \cfrac{cos^2(\theta )}{cos(\theta )} \\\\\\ cos(\theta )\implies \cfrac{1}{sec(\theta )}[/tex]
Need help with this Question pls
Answers
Step-by-step explanation:
a. £5,37
b.£2,07
c.£15,70
which of the following statements are equivalent to the statement "the price increased by 1/2 if what it was before"
Answers
Answer:
The question is incomplete
Answer:
It was 1/3 before
Step-by-step explanation:
If {={ a, b, c, d, e } A={ a, c, e} B={ b, e }. List the members of the following set. (a) A' (b) B' (c) A'uB (d) AuB' (e) A'nB (f) AnB' (g) A'uA (h) B'nB (I) AuB (j) A'uB' (k) [AnB]' (l) A'nB'
Answers
Answer:
The complement of a set A, denoted A', is the set of all elements that are not in A. The complement of B, denoted B', is the set of all elements that are not in B.
Step-by-step explanation:
(a) A' = {b, d}
(b) B' = {a, c, d}
(c) A' U B = {a, b, c, d, e} (the union of A' and B contains all elements in both sets)
(d) A U B' = {a, b, c, e} (the union of A and B' contains all elements in both sets)
(e) A' n B = {} (the intersection of A' and B is an empty set)
(f) A n B' = {c} (the intersection of A and B' contains all elements that are in A but not in B)
(g) A' U A = {a, b, c, d, e} (the union of A' and A is the universal set, containing all elements)
(h) B' n B = {} (the intersection of B' and B is an empty set)
(i) A U B = {a, b, c, e} (the union of A and B contains all elements in both sets)
(j) A' U B' = {a, b, c, d, e} (the union of A' and B' is the universal set, containing all elements)
(k) [A n B]' = {b, d} (the complement of the intersection of A and B is the union of the complements of A and B)
(l) A' n B' = {} (the intersection of A' and B' is an empty set).
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
PLEASE HELP ME AS QUICK AS POSSIBLE !!
Answers
Answer:
1/(ab) if a ≠ 0, b ≠ 0, and (a+b) ≠ 0
Step-by-step explanation:
You want the simplified form of 1/(a²+ab) +1/(ab+b²) and any applicable conditions.
SimplificationThe expression is simplified by writing it over a common denominator and cancelling any common terms from numerator and denominator.
[tex]\dfrac{1}{a^2+ab}+\dfrac{1}{ab+b^2}=\dfrac{1}{a^2+ab}\cdot\dfrac{b}{b}+\dfrac{1}{ab+b^2}\cdot\dfrac{a}{a}=\dfrac{b+a}{a^2b+ab^2}\\\\=\dfrac{a+b}{ab(a+b)}=\boxed{\dfrac{1}{ab}\quad a\ne0,b\ne0,(a+b)\ne0}[/tex]
The given conditions ensure the denominator(s) will not be zero.
