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MaRussiya [10]
3 years ago
5

PLEASE HELP!!!!!!!!!!

Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer: D

Step-by-step explanation:

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The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible length
andrew11 [14]

we know that

In a right triangle

Applying the Pythagorean Theorem

c^{2} =a^{2} +b^{2}

where

a and b are the legs of the triangle

c is the hypotenuse of the triangle

Step N 1

<u>Assume that the third side is a leg</u>

In this case we have

a=12\ in\\c=15\ in\\ b=?

c^{2} =a^{2} +b^{2}

Solve for b

b^{2}=c^{2} -a^{2}

substitute the values

b^{2}=15^{2}-12^{2}

b^{2}=81

b=9\ in

Step N 2

<u>Assume that the third side is the hypotenuse</u>

In this case we have

a=12\ in\\b=15\ in\\ c=?

c^{2} =a^{2} +b^{2}

substitute the values

c^{2}=12^{2}+15^{2}

c^{2}=369

c=19.2\ in

Step N 3

<u>Find the difference of the third sides</u>

19.2\ in-9\ in=10.2\ in

therefore

<u>the answer is</u>

10.2\ in

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PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason
nata0808 [166]

Answer:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

Step-by-step explanation:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

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42.25 / 6.5 = x = 6.5
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4 years ago
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Dmitry_Shevchenko [17]

Answer:

the answer is (x + 4)(x2 – 4x + 16)

Step-by-step explanation:

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