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Scilla [17]
3 years ago
13

A 25-foot ladder is leaning against a house with the base of the ladder 5 feet from the house. How high up the house does the la

dder reach? If necessary, round to the nearest tenth foot.
Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Answer:

  24.5 ft

Step-by-step explanation:

The Pythagorean theorem relates the lengths of the legs of a right triangle to the length of the hypotenuse. This geometry is modeled by a right triangle with one leg being 5 ft and the hypotenuse being 25 ft. Then we have (in feet), ...

  25^2 = 5^2 + height^2

  625 -25 = height^2 . . . . . . subtract 5^2

  √600 = height ≈ 24.4949 . . . . take the square root

The ladder reaches about 24.5 ft up the house.

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In the image below, ABC ~ DEF What is the length of EF and the measure of D
Gwar [14]
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
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-------------------------------------------------------------------------------------------------------------

Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

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So in short, the answer is choice B) 27; 49

7 0
4 years ago
Please help me with this question URGENT PLEASE ANSWER THIS MATH QUESTION
lesya [120]

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(4,0)

Step-by-step explanation:

The object is first at (0,0)

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The image (-4,0) is then reflected on the y-axis

You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.

Hence;

(- -4,0)= (4,0)

The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)

6 0
3 years ago
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sel
Valentin [98]

Answer:

1,000 pencils  

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First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

8 0
3 years ago
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