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Leya [2.2K]
3 years ago
15

Use Pythagorean Theorem to determine the missing side.

Mathematics
1 answer:
irakobra [83]3 years ago
4 0
The ladder is 12.4 feet high

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Given that the triangles are similar, find the value of x. Find the length of NR.<br> S<br> T<br> 40<br> 60<br> R<br> 2x-2<br> 8
andrew-mc [135]

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

\frac{40}{8} = \frac{60}{2x - 2}

5 = \frac{60}{2x - 2}

Cross multiply

5(2x - 2) = 60

10x - 10 = 60

10x = 60 + 10 (addition property of equality)

10x = 70

Divide both sides by 10

x = 7

✔️NR = 2x - 2

Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12

6 0
3 years ago
What is -5|x + 1| =10 ?
GREYUIT [131]

Hello, there is No Solution to this equation.  

- Laura

5 0
3 years ago
the numbers 1,2,3,4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacet. find t
Tresset [83]

Consider such events:

A - slip with number 3 is chosen;

B - the sum of numbers is 4.

You have to count Pr(A|B).

Use formula for conditional probability:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}.

1. The event A\cap B consists in selecting two slips, first is 3 and second should be 1, because the sum is 4. The number of favorable outcomes is exactly 1 and the number of all possible outcomes is 5·4=20 (you have 5 ways to select 1st slip and 4 ways to select 2nd slip). Then the probability of event A\cap B is

Pr(A\cap B)=\dfrac{1}{20}.

2. The event B consists in selecting two slips with the sum 4. The number of favorable outcomes is exactly 2 (1st slip 3 and 2nd slip 1 or 1st slip 1 and 2nd slip 3) and the number of all possible outcomes is 5·4=20 (you have 5 ways to select 1st slip and 4 ways to select 2nd slip). Then the probability of event B is

Pr(B)=\dfrac{2}{20}=\dfrac{1}{10}.

3. Then

Pr(A|B)=\dfrac{\frac{1}{20} }{\frac{1}{10} }=\dfrac{1}{2}.

Answer: \dfrac{1}{2}.

5 0
3 years ago
Which of the following describes the meaning of surface area of a solid?
Dmitry [639]
The correct answer is the total area of all the surfaces.

A solid is a three-dimensional shape. These shapes will have multiple surfaces or curved surfaces. To find the surface area, you would need to find the area of all the surfaces.
5 0
4 years ago
Read 2 more answers
How do you do simplfi 32/100
poizon [28]

The reduced form of  

\frac{32}{100}  = \frac{8}{25}

3 0
3 years ago
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