Answers
The angle measure m<T is equivalent to 78 degrees
Similar trianglesSimilar triangles are triangles that have similar sides and angles.
From the given triangle
<A = <R
<B = <S
<C = <T
Since the sum of angle in a triangle is 180 degrees, hence;
<A + <B + <T = 180
24 + 78 + <T = 180
102 + <T = 180
<T = 180 - 102
<T = 78 degrees
Hence the measure of m<T from the triangle is 78 degrees
Learn more on similar triangles here: https://brainly.com/question/14285697
#SPJ1
Related Questions
The value of a machine, V , at the end of t years
Answers
The value of machine after 2 years is $346.4.3
What is Rate of Depreciation?Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique. The amount that can be depreciated, or the depreciable basis, is the outcome. Subtract this sum from the asset's useful life, which is measured in years.
Given:
C = $707 (the original cost),
r = 0.3 (the rate of depreciation),
and t = 2 (years that have gone by)
Using the Formula
V = C [tex](1-r)^t[/tex]
V = (707)(1 - 0.3)²
V = (707)(0.7)²
V = (707)(0.49)
V = 346.43
Thus, the value of machine is $346.43
Learn more about Rate of Depreciation here:
https://brainly.com/question/11861805
#SPJ9
Find the perimeter of the trapezoid round to the nearest tenth
Answers
The perimeter of the trapezoid is 49.4.
What is trapezium?A trapezium is a quadrilateral with four sides where two sides are parallel to each other.
We have,
From the graph,
Height = 12 units
Parallel sides = 9 units and 15 units
Now,
Another side = x
Using Pythagorean theorem.
x² = 6² + 12²
x² = 36 + 144
x² = 180
x = √180
x = 13.42
Now,
The perimeter of the trapezoid.
= 12 + 13.42 + 9 + 15
= 49.42
= 49.4
Thus,
49.4 is the perimeter of the trapezoid.
Learn more about trapezium here:
https://brainly.com/question/22607187
#SPJ1
Graph the image of square CDEF after a dilation with a scale factor of
1
2
, centered at the origin.
Answers
Answer:
Step-by-step explanation:
To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin, you would need to double the x and y-coordinates of each vertex of the square.
Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:
(2a, 2b)
(2a, 2b + 2)
(2a + 2, 2b + 2)
(2a + 2, 2b)
So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.
To graph the image, you would plot each of the new vertices and connect them to form the image square.
The solution is given below.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
here, we have,
To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin,
we would need to double the x and y-coordinates of each vertex of the square.
Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:
(2a, 2b)
(2a, 2b + 2)
(2a + 2, 2b + 2)
(2a + 2, 2b)
So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.
To graph the image, we would plot each of the new vertices and connect them to form the image square.
To learn more on Square click :
brainly.com/question/14198272
#SPJ2
Find the value of each variable. Round to the nearest tenth, if necessary.
Answers
The values are a = 16.69, c=16.68 ad m∠C = 22.07°.
What are trigonometric ratios?
Trigonometric ratios are mathematical functions that describe the relationship between the angles and sides of a right triangle. The three main trigonometric ratios are the sine, cosine, and tangent.
In the given figure, by using trigonometric ratios, we can find
sin68° = a/18
18 sin 68° = a
Using a calculator, we can find that sin 68° is approximately 0.9272. Multiplying 18 by 0.9272 gives us:
a ≈ 16.69
Therefore, a is approximately 16.69.
cos68° = c/18
18 cos 68° = c
Using a calculator, we can find that cos 68° is approximately 0.3714. Multiplying 18 by 0.3714 gives us:
c ≈ 6.68
Now
sinC = c/18
[tex]C = sin^{-1}(\frac{6.68}{18})\\\\C = sin^{-1}(0.3714)\\\\C = 22.07\degree[/tex]
Hence, the values are a = 16.69, c=16.68 ad m∠C = 22.07°.
To learn more about trigonometric ratios, visit:
https://brainly.com/question/22540502
#SPJ1
4 x 9.5 using distributive method
Answers
Answer: 38
Step-by-step explanation:
4 x 9.5 can also be seen as 2 (2 x 4.75)
To solve this,
1) 2 x 2 = 4
2) 2 x 4.75 = 9.5
4 x 9.5 = 38.
Simple ways without distributive property is just 4 x 9.5 which is equal to 38.
If it is like 4(9.5) then the answer would be 4 * 9.5 which is 38. But if you were asking about this, 4(9 + 5) then these would be the steps.
So, distributive property is A(B + C) so A = 4 and B = 9 and C = 5.
So the setup would be 4(9 + 5).
And in order to solve this we have to distribute the 4 to 9 and 5. And after that, we remove the parenthesis. So, we get 36 + 20. And that would equal 56. So,
Answer = 56or
Answer = 38
Determine three distinct points on the line 2 x+2 y=32. Enter your points as ordered pairs (x, y)(x,y) separated by commas.
Graph the line 2 x+2 y=32x by plotting two of the points you found on the line.
What is the slope of the line 2 x+2 y=32
What does the slope say about the relationship between the lengths and widths of rectangles with perimeter 32?
Answers
The distinct points are (1, 15), (2, 14) and (3, 13)
The slope implies that as the length increases by 1, the width decreases by 1
How to determine the distinct pointsFrom the question, we have the following parameters that can be used in our computation:
2x + 2y = 32
Divide by 2
So, we have the following representation
x + y = 16
Make y the subject
y = 16 - x
Set x = 1, 2 and 3
So, we have
y = 16 - 1 = 15
y = 16 - 2 = 14
y = 16 - 3 = 13
So, the points are (1, 15), (2, 14) and (3, 13)
The slope is calculated as
y = mx + c
Where m = slope
When compared, we have
slope = -1
This means that as x increases, y decreases
The graph is attached
Read more about linear equation at
https://brainly.com/question/2030026
#SPJ1
Name one pair of congruent sides. A. Segments PR and SV B. Segments QR and ST C. Segments RP and TS D. Segments PQ and VS
Answers
Answer:
Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.
#1 Congruent Angle
#2 Congruent Sides
#3 Side Angle Side
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
The graph above is a transformation of the function X^2
Write an equation for the function graphed above
Answers
The equation for the function graphed is g(x) = -1/4(x + 2)^2 - 1
How to determine the equation for the function graphedFrom the question, we have the following parameters that can be used in our computation:
f(x) = x^2
First the function is reflected across the x-axis
This gives
f'(x) = -x^2
Next, the function is stretched vertically by 4
Using the above as a guide, we have the following:
f'(x) = -1/4(x)^2
Lastly the function is translated 2 units left and 1 units dows
This is represented as
g(x) = -1/4(x + 2)^2 - 1
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
The Tour de France is a 2,235 mile long distance bicycle
race that goes through all of France. So far, Haley has
ridden fifteen miles of one mostly uphill stage of the Tour
de France. She rides thirteen miles per hour during this
stage.
Define units for the additional time Haley rides and
the distance Haley rides.
1. How far will Haley have ridden after an additional 120
minutes?
2. Haley grabs a new water bottle from volunteers after six
hours. How far has she traveled?
Enter a variable for the additional time Haley rides and
use this variable to write an expression for the
distance Haley rides.
Quantity Name
Unit
Question 1
Question 2
Expression
Additional Time Distance Haley
Haley Rides
Rides
hours.
miles
2
6
Answers
Answer:
Step-by-step explanation:
How much interest will you earn if you deposit $2,700.00 into a simple interest account at 6.25% per annum for 3 years?
Answers
Answer:
Step-by-step explanation:
TEP 1: Find an interest by using the formula , I=P.i.t where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this examplee P = $2700, i = 6.25% and t = 3 years, so
I=506.25
STEP 2: Find an amount by using the formula . A= P+I
Since P = $2700 and I = $506.25 we have,
A=I+P
A=3206.25
Which graph represents the function f(x) = |x + 31?
O
5-
3
2-
vou
4-
-6-5-4-3-2-1₁.
-2-
-3+
-4-
கள்
-61
CÒ
2 3 4 5
+
X
x
Answers
The solution is, the equation of the line is y = 2x/3 + 2, that is, The correct option is A.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept(This is the point where the line cut across the y axis.
The first step is to find the slope. The formula is
Slope, m = (y2 - y1)/(x2 - x1)
From the given points on the graph,
when x1 = 0, y1 = 2
when x2 = 3, y2 = 4
m = (4 - 2)/(3 - 0)
m = 2/3
Looking at the graph, at the point where the line cuts the y axis, y = 2. Thus, c = 2
We would substitute m = 2/3 and c = 2 into the slope intercept equation. Thus, the equation of the line is
y = 2x/3 + 2
The correct option is A.
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ1
1. The equation 24x² + 2x = 15 has 2 solutions. What is
the greater of the 2 solutions?
A. 3/
B.
M + NO
C.
D. 1/1
E.
Answers
Answer:
Step-by-step explanation:
To find the solutions of the equation 24x² + 2x - 15 = 0, you can use the quadratic formula.
The quadratic formula states that given a quadratic equation of the form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0, the solutions are given by:
x = (-b ± √(b² - 4ac)) / 2a
In this case, a = 24, b = 2, and c = -15, so:
x = (-2 ± √(2² - 4 * 24 * -15)) / 2 * 24
x = (-2 ± √(4 + 1440)) / 48
x = (-2 ± √(1444)) / 48
Taking the square root of both sides, we have:
x = (-2 ± 38.2) / 48
Therefore, the solutions are:
x = (-2 + 38.2) / 48 = 36.2 / 48 = 0.75
x = (-2 - 38.2) / 48 = -40.2 / 48 = -0.84
Since 0.75 > -0.84, the greater of the two solutions is 0.75.
Answer:
the answers are: 36/48
-40/48
You estimate that there are 76 marbles in a jar. The actual amount is 59 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.
Answers
Answer: To find the percent error, we can use the formula:
percent error = (estimated value - actual value) / actual value * 100
Plugging in the values:
percent error = (76 - 59) / 59 * 100 = 29.49%
Rounding to the nearest tenth of a percent:
percent error = 29.5%
So the percent error is 29.5%.
Step-by-step explanation:
Her little sister's birthday is next week, so Brittany is planning a bubble-themed birthday party! She buys a big bottle of bubble solution and divides it equally among 6 small bottles. Each small bottle holds 1/8 of a gallon of bubble solution.
Use an equation to find the amount of bubble solution in the big bottle.
Answers
There is 3/4 of a gallon of bubble solution in the big bottle.
What is an equation?
In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equal sign (=). An equation contains one or more variables, which are symbols that represent unknown values, and may also contain constants, coefficients, and arithmetic operations such as addition, subtraction, multiplication, and division.
Let's use "x" to represent the amount of bubble solution in the big bottle, in gallons.
According to the problem, the big bottle was divided equally among 6 small bottles, and each small bottle holds 1/8 of a gallon of bubble solution. Therefore, the total amount of bubble solution in the big bottle is equal to the sum of the amounts in the 6 small bottles:
x = 6 * (1/8)
Simplifying the right-hand side of the equation, we get:
x = 3/4
Therefore, there is 3/4 of a gallon of bubble solution in the big bottle.
To learn more about the equations, visit:
https://brainly.com/question/22688504
#SPJ1
A pharmaceutical company is carrying out
a trial for a new flea prevention
medication that is designed to work for
dogs or cats. They recruit pet owners and
ask them what flea prevention they
currently use. They randomly assign half of
the dogs in the study to the new flea
prevention medication, and the other half
of the dogs in the study will receive their
current prevention. A similar process is
carried out with the cats in the study.
What type of experiment design is this?
Choose 1 answer:
A
B
A randomized block design where the
pet types (dogs and cats) are the blocks
A systematic cluster design
A matched pairs design where the new
and existing flea medications are the pair
Answers
In the experiment in which researcher randomly assign half of the dogs in the study to the new flea prevention medication, and the other half of the dogs in the study will receive their current prevention, this type of experiment design is a randomized block design where the pet types (dogs and cats) are the blocks.
What is randomized block design in experiment design?Randomized block design is a type of experimental design that is used to control for the effects of extraneous variables. It involves dividing the subjects or treatments into groups, or blocks, that are similar with respect to the extraneous variable.
These blocks are then randomly assigned to the treatments being tested. By controlling for the extraneous variable in this way, the randomized block design can reduce error and increase the accuracy of the results.
Read more about experiment design
brainly.com/question/1418338
#SPJ1
Answer:
answer B (Khan)
Step-by-step explanation:
A randomized block design where the pet types (dogs and cats) are the blocks
Consider the problem: Minimize cx subject to Ax >= b, x >= 0. Suppose that one component of the vector b, say bi, is increased by one unit to bi + 1. a. What happens to the feasible region? b What happens to the optimal objective value?
Answers
A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.
B) If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.
In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.
Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.
Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.
To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.
To know more about vector here.
https://brainly.com/question/29740341
#SPJ4
Solve x - 5 = 8 - 4x
Answers
Answer:
Step-by-step explanation:
x - 5 = 8 - 4x
rearrange
x - 5 = -4x + 8
x + 4x - 5 = -4x + 4x + 8
5x - 5 = 8
5x - 5 + 5 = 8 + 5
5x = 13
Divide by 5
5x/5 = 13/5
x = 13/5 or 2 [tex]\frac{3}{5}[/tex]
or 2.6 as a decimal
A. SSS
B. Neither
C. SAS
#
Copyright © 2003-2023 International Academy of Science. All Rights Reserved.
These triangles
are congruent by
the triangle
congruence
postulate [? ].
Answers
The congruence theorem that justifies the congruence of the two triangles is given as follows:
A. SSS.
What is the SSS congruence theorem?
The Side-Side-Side (SSS) congruence theorem states that three sides of a triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are said to be congruent by SSS rule.
In this problem, we have that:
The | and || sides are equivalent.The bisection belongs to both triangles.Hence the triangles are congruent by the SSS postulate and the correct option is given by option A.
More can be learned about the SSS postulate at https://brainly.com/question/11671194
#SPJ1
Which statistic (mean, median, or mode) is most appropriate in each of the following situations?
The offensive line of a football team is larger than the previous years. The program will list a statistic to show this fact.
• Mean
• Median
• Mode
Answers
Answer:
Step-by-step explanation: In this situation, mean would be the most appropriate statistic to show the increase in the size of the offensive line of the football team. The mean is a measure of central tendency that takes into account all the values in a set and calculates the average, giving a good representation of the general trend of the data. The mean size of the offensive line can be calculated by adding up the size of all the players and dividing by the number of players. This would give a good idea of the overall increase in the size of the offensive line.
sandy ran for 22 minutes. Gary ran 7 minutes longer than sandy did. Herbert ran 12 minutes less than Gary. who ran the longest
Answers
Answer:
So Gary ran the longest
Step-by-step explanation:
Gary ran for 22 minutes + 7 minutes = 29 minutes.
Herbert ran for 29 minutes - 12 minutes = 17 minutes.
So Gary ran the longest, followed by Sandy and then Herbert.
Jesus believes in looking his best when searching for a job. He wants to save $435 for a new suit for his interviews. He currently has $65.00 and he can save $18.00 per week from his work.
How many weeks in total will it take him to save for the suit, assuming he puts the $65.00 into an account on week 1 and starts saving each week thereafter?
Answers
Answer:
6.7 weeks.
Step-by-step explanation:
65.00 x 6.7 = 435.50
Answer:
Step-by-step explanation:
He has $65 on the first week. He’s missing $370. If he can save $18 a week. 370/18 = 20.5. But they’re asking for the total weeks it’ll take. So add the first week. 20.5 + 1 = 21.5
not mine but he did he get it right
a company must stretch a caple from the top of tower that is 25 cm high to a point 50 cm away from the base of the tower . what is the length of the caple ?
A/ 625
B/ 2500
C/ 3125
D/ 25√5
Answers
The length of the caple is √3125 cm. (option C)
What is the length of the caple?The caple and the tower would form a right triangle. The caple would be the hypotenuse. The tower would be the length and the distance from the base of the tower would be the base.
In order to determine the length of the caple, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenusec² = 25² + 50 ²
c² = 625 + 2500
c² = 3125
c= √3125 cm
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
#SPJ1
The perimeter of a triangle is 39 inches. If the length of the shortest side is 1/2 the length of the longest side, and the length of the third side is 1 less than the length of the longest side, what is the length of each side?
Answers
P = 39 a + b + c = 39 a = (1/2)b c = b - 1
Substituting (1/2)b for a and b - 1 for c, we get:
39 = (1/2)b + b + (b - 1) 39 = 2b - 1 40 = 2b b = 20
Therefore, the length of the shortest side is (1/2)b = (1/2)20 = 10 inches, the length of the longest side is b = 20 inches and the length of the third side is b - 1 = 19 inches
given f(x) = 3x^3+kx+9, and the remainder when f(x) is divided by x+2 is -17, then what is the value of k?
Answers
Answer:
1
Step-by-step explanation:
f(x) = 3x^3+kx+9, and the remainder when f(x) is divided by x+2 is -17, then what is the value of k=1
Please help me with this equation
Answers
is 68/33 rational or irrational
Answers
Answer:
Given value is Rational. The value is 2.06
Step-by-step explanation:
Answer: Rational.
Step-by-step explanation:
An irrational number is one that terminates forever, and cannot be expressed as a fraction. 68/33 is a fraction, therefore it's rational. Irrational can be values like pi, which do not have a ratio form (e.g. fraction).
The area of Rhode Island is about 1000
square miles. The area of Alaska is about
5.7 x 105 square miles.
Complete the statement based on the
information above:
Alaska's area is ___ times the area of rhode island
Answers
Answer:
57
Step-by-step explanation:
To find the ratio of the area of Alaska to the area of Rhode Island, we need to divide the area of Alaska by the area of Rhode Island.
The area of Rhode Island is 1000 square miles and the area of Alaska is 5.7 x 10^5 square miles.
So, the ratio is: 5.7 x 10^5 / 1000 = 57
Therefore, Alaska's area is 57 times the area of Rhode Island.
5.7 x 10^5 divided by 1000 = 57.
NEED HELP ASAP PLEASE! What is the equation of the function shown in the table?
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
A: y = -2 x + 1
B: y = 2 x + 1
C: y = 2 x - 2
D: y = - 1/2x - 1
Answers
The equation of the function shown in the table is y=2x +1, the correct option is B.
What is the equation of a line passing through two given points in 2 dimensional plane?Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
We are given that;
The x and y of the function
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
Now,
The general equation of line
y=mx+c
Here, m= 5-3/2-1
m=2
Substituting the value of m in general equation.
y=2x +1
Therefore, the equation of line will be y=2x +1
Learn more about straight line equation here:
https://brainly.com/question/380976
#SPJ1
I need help with number 9, please.
Answers
8. The center and radius of the circle given the following equation:
(x + 4)^2 + (y - 2) ^ 2 = 5 is
c. center (-4, 2) radius: 59. The equation for the circle is
a. (x + 5)^2 + (y + 2)^2 = 910. The length of arc AB is
b. 4πHow to determine the equation the circleInformation given in the question
a circle whose equation is (x + 4)^2 + (y - 2) ^ 2 = 5
Equation of a circle is given as:
(x - h)² + (y - k)² = r²
Where
r = radius
h and k are coordinates of the center
x and y is the coordinate of point on the circumference
The equation of the circle is compared with the given equation and this shows that
center (-4, 2) radius: 5Using the graph the centers are (-5, -2) and the radius is 3, this will give equation (x + 5)² + (y + 2)² = 3²
If angle ACB = 60 deg and the radius is 12 cm, length of arc
= 60 / 360 * 2 * π * 12
= 4π
Learn more about equation of a circle at:
https://brainly.com/question/29324404
#SPJ1
I will give brainliest and ratings if you get this correct
Answers
find derivative of e^(e^x)
use chain rule to find d/dx of e^x is e^x.
so chain rule finds the value e^(e^x) d/dx = e^(e^x) x e^x
simplify to e^[(e^x)+x]
