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nydimaria [60]
4 years ago
10

The measures of the legs of a right triangle are 15 m and 20 m. What is the length of the hypotenuse?

Mathematics
1 answer:
Alex73 [517]4 years ago
8 0
Use Pythagorean theorem.
15^2+20^2=c^2
225+400=c^2
√655=c
c=25
Answer: D.) 25 m 
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The length of the rectangle is 8 inches longer than its width. If the perimeter of the rectangle is 36 inches, what is the width
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Answer:

The width is 5 inches

Step-by-step explanation:

In order to find the width, start by labeling the width as x. Since we know the length is 8 inches longer, we can express the length as x + 8. Now we can plug these two into the perimeter formula and solve for x to get the width.

2l + 2w = P

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4x + 16 = P

4x + 16 = 36

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ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.
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Solution:

we are given that ΔABC and ΔXYZ are similar triangles.

As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.

Here we have

BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4

So we can write

\frac{x+9}{x+5}= \frac{x+7}{x+4}\\
\\
(x+9)(x+4)=(x+7)(x+5)\\
\\
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\\
13x-12x=35-36\\
\\
x=-1\\
\\

Hence then value of x=-1.

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