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krek1111 [17]
3 years ago
8

If RS = 3x + 1, ST = 2x - 2, and RT = 64, find the value of x

Mathematics
1 answer:
Yanka [14]3 years ago
6 0
RS + ST = RT
(3x + 1) + (2x - 2) = 64
5x - 1 = 64
5x = 65
x = 13
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Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,00
mr_godi [17]

Answer:

16 pots

Step-by-step explanation:

We first need to find out the amount of dirt that can be filled into a single flowerpot.

We use the formula to find the cylinder's volume.

πr^{2}* h

Height is equal to ten, Radius is equal to 7.

49π * 10

≈ 1539.38

25,000 divided by 1539.38

≈ 16.24

He can fill 16 pots fully.

5 0
3 years ago
a ferris wheel can accommodate 55 people in 15 minutes. how many people could ride the ferris wheel in 6 hours? what was that ra
statuscvo [17]
15 minutes is one quarter of an hour, so the number of people accommodated in an hour would be 4 x 55 = 220 people per hour.
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8 0
3 years ago
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Factor the expression –5g + 15h – 25.
shtirl [24]

Answer:

-5(g-3h+5)

Step-by-step explanation:

-5g+15h-25

-5(g-3h+5)

3 0
2 years ago
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If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?
Burka [1]

Answer:

\huge\boxed{120 \textdegree}

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is x°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

  • x+2x=180
  • 3x=180
  • x=60

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

60 \cdot 2 = 120

So m∠TSP is 120°.

Hope this helped!

3 0
4 years ago
Figure A is a scale image of figure B.
kramer
<h3>Answer: x = 7</h3>

Work Shown:

Multiply 10.5 by 2/3 to get

10.5*2/3 = 21/3 = 7

3 0
3 years ago
Read 2 more answers
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