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skelet666 [1.2K]

3 years ago

6

Find the measure of an angle whose supplement measures seventeen times its measure

1 answer:

Lilit [14]3 years ago

5 0

<span>supplement angles, sum = 180
lets x = angle
</span><span>its supplement = 180 - x

x + 17x = 180
18x = 180
x = 10
180 -10 = 170

answer
angle = 10
its </span><span>supplement = 170</span>

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oksano4ka [1.4K]

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A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num

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Answer: hypotenuse = $c^{2} + b^{2}$

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ( $s_{1},s_{2}$ ) of the right triangle, .i.e.:

$h^{2} = s_{1}^{2} + s_{2}^{2}$

In this question:

$s_{1}$ = $c^{2}-b^{2}$

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Substituing and taking square root to find hypotenuse:

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Calculating:

$h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}$

$h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}$

$c^{4}+b^{4}+2b^{2}c^{2}$ = $(c^{2}+b^{2})^{2}$ , then:

$h=\sqrt{(c^{2}+b^{2})^{2}}$

$h=(c^{2}+b^{2})$

Hypotenuse for the right-angled triangle is $h=(c^{2}+b^{2})$ units

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3 years ago