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Natali5045456 [20]
3 years ago
15

SV is an angle bisector of ∠RST. If m∠RSV = (3x + 7)° and m∠RST = (8x − 12)°, find x.

Mathematics
1 answer:
barxatty [35]3 years ago
4 0
∠RSV=(3x + 7)°
∠RST = (8x − 12)°
∠RSV=∠VST=1/2∠RST


(3x + 7)°+(3x + 7)°= (8x − 12)°
3x+7+3x+7=8x-12
3x+3x-8=-12-7-7
-2x=-2
x=-2/(-2)
x=1

<span> </span><span><span>А. Angle Addition Postulate</span>
</span>х=1





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Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

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<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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\frac{5}{-8} or -0.625

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The slope formula is as shown:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}

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We can hence plug in the values into the formula to get m=\frac{3-(-2)}{-5-3}.

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

m=\frac{5}{-8}

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