Cynthia is finding the measures of the labeled angles in this image.

Mathematics

1 answer:

wariber [46]2 years ago

4 0

Answer:

D. She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.

Step-by-step explanation:

Because we don't know what kind of triangle we're looking at, and none of the lines are parallel or perpendicular, the other responses wouldn't make sense.

As a result, we'll need two perspectives.

C would not work since we would know that the two angles are supplementary if we knew A or B.

If we start with A, we'll end up with B, which is 180-A, and vice versa.

Both A and B are unnecessary.

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saw5 [17]

Answer: 92 which is choice D

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What is the equation of the line that passes through the point (-2,5) and has a slope of -4?

adoni [48]

Answer:

$\boxed {\boxed {\sf y= -4x -3}}$

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

m= -4
x₁= -2
y₁ = 5

Substitute the values into the formula.

$y-5 = -4 (x--2)$

$y-5 = -4 (x+2)$

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

$y-5=( -4 *x ) + (-4* 2 )$