The length of two complementary angles are x and 2x+12. Find the measures of the angles.

1 answer:

4 0

There's no such thing as the "length"of an angle.
But we know what you're getting at.

You have said that the angles are complementary. If two angles are
complementary, then their sum is 90 degrees, so we can take your
two angles and write:

 x (one angle) plus (2x + 12) (the other one) = 90 degrees

 x + 2x + 12 = 90

Subtract 12 from each side: x + 2x = 78

Add the x's on the left side: 3x = 78

Divide each side by 3 : x = 26 degrees

One angle is 'x' = 26 degrees

The other one is (2x + 12) = 52+12 = 64 degrees

You might be interested in

Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail's age?

Svetllana [295]

35 - 9 = 26 so mikhail is 26

8 0

2 years ago

Read 2 more answers

I need some help with this calculus question

Over [174]

The tangent to $y$ at the point (0, 5) has a slope equal to the derivative evaluated at $x=0$ .

$y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5$

This tangent passes through the point (0, 5), so its equation is

$y-5=5(x-0)\implies y=5x+5$

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

$y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5$