Mathematics College

In the diagram below of triangle PQR, S is the midpoint of PR and T is the
midpoint of QR. If ST = -32 + 9x, and PQ = -53 +28, what is the measure
of ST?


Answer: ST=?

In The Diagram Below Of Triangle PQR, S Is The Midpoint Of PR And T Is Themidpoint Of QR. If ST = -32

Answers

Answer 1

Answer:

ST = 4

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

ST = [tex]\frac{1}{2}[/tex] PQ substitute values

- 32 + 9x = [tex]\frac{1}{2}[/tex] (- 5x + 28) ← multiply both sides by 2 to clear the fraction

- 64 + 18x = - 5x + 28 (add 5x to both sides )

- 64 + 23x = 28 ( add 64 to both sides )

23x = 92 ( divide both sides by 23 )

x = 4

Then

ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4

Related Questions

Find the area of the composite figure.
A. 27.5 sq in
B. 37.5 sq in
C. 45 sq in
D. 55 sq in

Answers

Answer:

B. 37.5 sq in

Step-by-step explanation:

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Using the Addition Method, find the value of x in the
system of equations
3x + 2y = 2
-3x + 5y = 5

Answers

Step-by-step explanation:

3x+2y=2------------1

-3x+5y=5-----------2

adding 1 and 2 we get

7y=7

y=1

and from (1),we get

3x+2×1=2

3x=0

x=0 is the required value of x.

We want to solve the given system of equations by using the addition method.

The solution is x = 0.

So we start with the system of equations:

3x + 2y = 2

-3x + 5y = 5

We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:

(3x + 2y) + (-3x + 5y) = 2 + 5

Now we simplify this to get:

7y = 7

Solving for y, we get:

y = 7/7 = 1

Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:

3x + 2*1  = 2

3*x = 2 - 2 = 0

x = 0

Then we can conclude that the value of x is 0.

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When converting a percent to a decimal, will there always be two digits after the decimal point? Explain

Answers

Answer:

No

Step-by-step explanation:

For example, 50% can be written as just 0.5

Dam shawty looking good

Cara is flying a kite at the park using a string that is 42 meters long. She notices that the kite is directly above her friend Leah. If Cara and Leah are standing 36 meters apart, how high is the
kite ?

Answers

Answer:

21.63 m

Step-by-step explanation:

Given :

Hypotenus = 42 m

Base = 36 m

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Height = √42²-36²

Height = √1764 - 1296

Height = √468

= 21.63 m

La suma de un numero mas 16 es igual a 31

Answers

Answer:

47

Step-by-step explanation:

if two parallel lines are cut by a transversal, then alternate interior angle are_______.
pa help po thank u​

Answers

Answer:

if two parallel lines are cut by a transversal, then alternate interior angles are congruent

Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).

What is the Midpoint of segment AB?

Answers

Therefore, the midpoint of segment AB is M (2, 3/2).

The midpoint formula is a method to determine the midpoint of a line segment.

To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:

midpoint x-coordinate = (x1 + x2)/2

midpoint x-coordinate = (-3 + 7)/2

midpoint x-coordinate = 4/2

midpoint x-coordinate = 2

Now, let's find the y-coordinate of M by applying the midpoint formula:

midpoint y-coordinate = (y1 + y2)/2

midpoint y-coordinate = (6 + (-3))/2

midpoint y-coordinate = 3/2

For such more question on segment

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What is the sales tax for a purchase of $20 if the tax rate is 10 percent?

Answers

Answer:

2

Step-by-step explanation:

If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20

Answer:

Before Tax Price: $20.00

Sale Tax: 10.00% or $2.00

After Tax Price: $22.00

Step-by-step explanation:

Use synthetic division to evaluate f(x) = –2x^3+ 3x – 6 when x = -5.

Answers

Answer:

-131

Step-by-step explanation:

Use -5 in place of x

f(x) = –2x^3+ 3x – 6

f(x) = -2*-5^3+3*5-6

Given f(x) = 5^2x,evaluate f (-1), f (0),and f (2)

Answers

The values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively

How to evaluate the function?

The function is given as:

f(x) = 5^2x

For f(-1), we have x = -1

This gives

f(-1) = 5^(2 * -1)

f(-1) = 0.04

For f(0), we have x = 0

This gives

f(0) = 5^(2 * 0)

f(0) = 1

For f(2), we have x = 2

This gives

f(2) = 5^(2 * 2)

f(2) = 625

Hence, the values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively

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What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1

Answers

Answer:

x = 1/4

Step-by-step explanation:

-7x - (-5-x) = -9(2x-1) -1

-7x + 5 + x = -18x + 9 - 1

combine like terms:

-6x + 5 = -18x + 8

add 18x to each side of the equation:

12x + 5 = 8

subtract 5 from each side:

12x = 3

divide both sides by 12:

x = 3/12 = 1/4

I need help with this problem can you please show the work

Answers

Answer:

48 degrees

Step-by-step explanation:

inscribed angle is always equal to the measure of the arc

Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]​

Answers

Answer:

sorreyyyy mateeeeee dont know the answer

The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate (in decimal form), and S= the inflated value t years from now. If the inflation rate is 4%, use the formula to find out how much a house now worth $183,000 will be worth in 15 years. Round your answer to the nearest dollar.

Answers

Answer:

area = b+h / lengthxwidth

Step-by-step explanation:

The sale price for a bicycle is $315. The original price was first discounted by 50percent and then discounted an additional 10 percent. Find the original price of the bicycle. Need answer now please!!

Answers

Answer:

Step-by-step explanation: Let the original price of the bicycle be $x. If the original price was first discounted by 50% and then discounted an additional 10%, the total percentage discount will be 60%.

Step-by-step explanation:

PLEASE HELP
3/4M -12 but m = 32

Answers

Answer:

Replace the variable m with 32

in the expression.

3/4⋅(32)−12 Simplify each term.

24−12 Subtract 12 from 24.

12

Step-by-step explanation:

Which of the expressions below has a quotient that is greater than 15? Select all that apply.
A) 192÷12
B) 73÷5
C) 153÷9
D) 112.5÷9

Answers

The first one has a quotient greater than 15

Do the line segments with the given lengths form a right triangle? Drag each set of lengths into the correct box.

Answers

Answer:

1) Yes

2)No

3)Yes

Step-by-step explanation:

Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!

Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

To find given lengths form a right triangle or not.

What is the Pythagorean Triple?

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.

Thus, find out which set of lengths will form a right triangle:

9, 40, 41 will form a right triangle, because:

41² = 40² + 9²

1,681 = 1,681

Also, the rest set of lengths will not form a right triangle.

Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).

Learn more about Pythagorean Triple here:

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Please tell me the answer I need it now... please

Answers

Answer:

Your answer is C!

The answer is C. 500

What is the measure of angle X 60° and 40°

Answers

Answer:

80 degree is the measure of third angle

Round to the nearest whole dollar: $7.23

Answers

Answer:

$ 7

Step-by-step explanation:

To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.

$7.23 rounded to the nearest dollar = $7

7 dollars I the answer

Which of the following numbers is not a perfect square?
49 124 169 361

Answers

Answer: 124

Step-by-step explanation:  7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.

Answer:

124

Step-by-step explanation:

What’s the answers to 15 and 16

Answers

15.) GF = 31
16.) DE = 11

Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum

Answers

Answer:
Approximately 42.
Exact sum is 42 13/40.

Explanation:
Estimate 11 3/8: 11
Estimate 9 7/10: 10
Estimate 21 1/4: 21
Add them together: 42.

11.375 + 9.7 + 21.25 = 42.325
I made them into decimals and then will convert it into fraction.
42.325 = 42 13/40

Hope this helps!

help please and thank you

Answers

Answer:

23,030

Step-by-step explanation:

Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.

An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund

Answers

Investment problems usually involve simple annual interest (as opposed to compounded interest), using the interest formula I = Prt, where I stands for the interest on the original investment, P stands for the amount of the original investment (called the "principal"), r is the interest rate (expressed in decimal form

what is the angle of d​

Answers

Answer:

115°

Step-by-step explanation:

65 +65 = 130

360-130= 230

230÷2= 115

A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.

Answers

Answer:

D I just did this

Finding missing angles

Answers

Answer:

The answer is 45 degrees

Answer: x = 45°

Step-by-step explanation:

since the total angle of that corner is 90°, and one of the angle is 45°

Help!!
[25+{14-(3x2)-2}]

Answers

the answer is on the page it is a screenshot explaining how to do it

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