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guapka [62]
3 years ago
8

Algebra find the value of x in each figure.

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

x = 156

Step-by-step explanation:

A straight line has an angle of 180 degrees. Subtract the known angle from 180:

180 - 29 = 151

The missing angle is 151 degrees. The value of x is 5 more, given 151 = ( x - 5 ).

151 + 5 = 156.

x = 156.

Hope that helped :)

DanielleElmas [232]3 years ago
5 0

Answer:

b. 156

Step-by-step explanation:

180 - 29 = 151

x-5=151

x=151+5

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8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
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<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

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y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

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