Can someone help me solve number 5 and explain how you did it ;) thank you

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:

45°

Step-by-step explanation:

For this question, I'll name the "?" angle as x to avoid confusion.

x and 45 are EQUAL to each other because they are corresponding angles

x = 45

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What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?

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Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

$-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2$

Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning $\frac{1}{2}=-2$ (negative reciprocal). Now we must use the point slope formula: