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fenix001 [56]
3 years ago
9

A long distance runner starts at the beginning of a trail and runs at a rate of

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Hello!

When the cyclist starts,the runner will have already ran 8 miles. We can write this equation below, where h represents the hours run since the cyclist took off.

14h=8+4h

Let's move the variables onto one side. First we subtract 4h from both sides.

10h=8

Now we divide both sides by 8.

1.25

As you can see, it will take 1.25 hours for the cyclist to overtake the runner.

I hope this helps!

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1. If RU = 16, UT = 20, and SR = 16, what is the perimeter of SUT?
nlexa [21]

Answer:

72

Step-by-step explanation:

If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.

6 0
2 years ago
What is the greatest common factor of 15x^3y^2 and 20x^4y^4?
Vanyuwa [196]
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

​<em>First we have to find the factors of 15x³y²</em>

<em>15x³y² = 3 * 5x³y² ​</em>

<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

<em>The common factors are </em><em>5x³y²</em>

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²​

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

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