Answer: The angle's complement is 43°.
The angle's supplement is 133°.
Remember: complementary angles add up to 90°.
supplementary angles add up to 180°.
To find the measure of the angle's complement:
47 + x = 90
x = 43
To find the measure of the angle's supplement:
47 + x = 180
x = 133
Answer:
100 years old
Step-by-step explanation:hope it helps:)
Answer:
A
Step-by-step explanation:
Given the 2 equations
4x + 5y = - 12 → (1)
- 2x + 3y = - 16 → (2)
Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)
- 4x + 6y = - 32 → (3)
Add (1) and (3) term by term
11y = - 44 ( divide both sides by 11 )
y = - 4
Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

C, because when you add 45 on both sides, and then after that when you have to subtract 15 in both sides, you get 0 = 120.