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Daniel [21]
2 years ago
15

HELP WITH THIS MATH QUESTION!!! ​I DONT KNOW HOW TO DO THIS

Mathematics
1 answer:
Fed [463]2 years ago
3 0

The similarity relationship is  AC / EC = AB / ED.

The length of AB is 157.50m.

<h3>What is the length of AB?</h3>

When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.

The similarity relationship is : AC / EC = AB / ED

AC = 160 + 50 = 210

210 / 160 = AB / 120

AB = (210 X 120) / 160 = 157.50

To learn more about similar triangles, please check: brainly.com/question/10658464

#SPJ1

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7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S
Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.

This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.

5 0
2 years ago
100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.
ivolga24 [154]

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

\frac{1}{2} × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = \frac{30x+150}{3x+15} ← factor numerator and denominator

  = \frac{30(x + 5)}{3(x+5)} ← cancel the factor (x + 5) on numerator/denominator

  = \frac{30}{3}

  = 10

7 0
3 years ago
Read 2 more answers
6+q=1 <br> Help I forgot how to do these.
Helga [31]

Answer:

q=-5

Step-by-step explanation:

6+q=1

Isolate the variable by subtracting 6 from both sides of the equation

q=1-6

q=-5

4 0
3 years ago
Read 2 more answers
The length of a rectangle is three more than its width. The perimeter is 86cm. Find the length and width of the rectangle. Write
elena-s [515]
P=2(l+w)
Substitute width plus 3 for length
Remember order of operations: multiply before adding

86=2((w+3) + w)
86=2w+6+2w
86=4w+6
80=4w
20=w
23=w+3=l

Check the answer
86=2((w+3) + w)
86=2((20+3)+20
86=2(23+20)
86=46+40
86=86
5 0
3 years ago
5,7,9,11 12th term pls help
skad [1K]

Answer:

27

Step-by-step explanation:

5,7,9,11. ....

This is an arithmetic sequence.

First term = a₁ = 5

Common difference = d = second term - first term = 7 - 5 = 2

nth term = a₁ + (n-1)*d

12th term = 5 + (12 - 1) * 2

                = 5 + 11*2

                = 5 + 22

                = 27

5 0
2 years ago
Read 2 more answers
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