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Cloud [144]
3 years ago
11

Sheila is climbing on a ladder that is attached against the side of a jungle gym wall. She is 7 feet off the ground and is 3 fee

t from the base of the ladder, which is 18 feet from the wall. How high up the wall is the top of the ladder? The ladder is attached to the wall of the jungle gym at a height of feet.
Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

Hi there!

The correct answer is 42 ft.

Step-by-step explanation:

For this special question, you need to set up a proportion, because you have two similar triangles.

In this case you will have, (7/x) = (3/18)

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Please help with this
N76 [4]
VWX\cong KLJ means that the triangles are congruent, that is exactly identical.

The order of letters is very important. Form the given congruence we can write the following ratio:

\frac{VW}{KL} = \frac{WX}{LJ} = \frac{VX}{KJ} =1

(notice that we do not mix the order: the first 2 letters of VWX are compared to the first 2 letters of KLJ and so on)

the ratio is one because the corresponding sides are equal.

\frac{VW}{KL}=1\\\\ \frac{2z-1}{z+2}=1\\\\2z-1=z+2\\\\2z-z=2+1\\\\z=3

|VW|=2z-1=2.3-1=6-1=5


Answer: 5 units


8 0
3 years ago
What happens to the value of the expression 10/d as d increases from a small positive number to a large positive number?
Zepler [3.9K]
The quotient, or resulting number, will decrease.
8 0
3 years ago
Read 2 more answers
(4+2n^3) + (5n^3+2)
pychu [463]
You just have to combine like terms here
6+7n^3 is the final answer

8 0
2 years ago
Read 2 more answers
What is the simplest form of the ratio 40:16?
Svetlanka [38]
So the greatest common factor of 40 and 16 is 8

40/8 : 16/8

5:2

The simplest form of the ratio 40:16 is 5:2

Hope this helps!
3 0
3 years ago
Read 2 more answers
A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in
aliina [53]

Answer:

59 students

Step-by-step explanation:

<em><u>3s+2</u></em>

5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59

<em><u>4s+3</u></em>

7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59

<em><u>5s+4</u></em>

9, 14, 19, 24, 29, 34, 39, 44, 49, 54, 59

<em><u>6s+5</u></em>

11, 17, 23, 29, 35, 41, 47, 53, 59

The smallest number of students there could have been is 59.

4 0
2 years ago
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