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creativ13 [48]
3 years ago
10

A 35 foot ladder is leaning against a building. The base of the ladder is 21 feet from the side of the building. How high does t

he ladder reach along the side of the building?
Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer:

28 feets

Step-by-step explanation:

Given that:

Height of ladder = 35

Distance between foot of ladder and wall base = 21 feets

The height of the ladder = h

Kindly refer to attachment for diagram illustration :

Using Pythagoras rule :

h² = 35² - 21²

h² = 1225 - 441

h² = 784

h =sqrt(784)

h = 28 feets

Height of ladder along the side of the building = 28 feets

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if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?
diamong [38]

Answer:

All the right triangles will be similar.

Step-by-step explanation:

See the attached diagram.

Let us assume any two right triangles are drawn on the line OP, and AB and A'B' as the hypotenuse on the same line OP.

Since the slope of the line OP is constant and assume that it makes x° with the positive x-axis.

Hence, \tan x = \frac{AC}{BC} = \frac{A'C'}{B'C'}

⇒ \frac{AC}{A'C'} = \frac{BC}{B'C'}

Therefore, the sides of the two right triangles are in the same ratio and hence, Δ ABC and Δ A'B'C' are similar.

Hence, all the right triangles will be similar. (Answer)

4 0
3 years ago
I know it’s not -2 please help!!
hjlf

Answer:

\boxed { - 4}

Step-by-step explanation:

Substitute y = x-4 in the first equation.

3x - 2(x - 4) = 4

Distribute -2 in the expression.

3x - 2x + 8 = 4 \\ x = 4 - 8 \\ x =  - 4

Because we only want to find the value of x.

Therefore the answer is -4.

8 0
3 years ago
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Stels [109]

Answer:

answer B hope this help ...

6 0
3 years ago
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The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate interior angles? Choose all that apply
Lera25 [3.4K]

Answer:

B. Angle D and Angle E

C. Angle C and Angle F

Step-by-step explanation:

Alternative Interior angles are not adjacent and are at opposite sides of the transversal.

5 0
3 years ago
Cathy conducted an experimentin which she placed red, yellow, blue, and orange pieces of paper in a hat and drew them out withou
Allisa [31]

Answer:

28/55

Step-by-step explanation:

First thing you do is add up all of the data values.

This is the total of everything you can draw.

in this case it would by 55.

We set this as the denominator and set the numerator to the ammount of times orange has been drawn.

This would result in our answer.

Hope this helps!

4 0
3 years ago
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