Answer:
? = 2 sqrt(21)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since this is a right triangle
a^2 + b^2 =c^2
?^2 + 4^2 = 10 ^2
?^2 + 16 = 100
Subtract 16 from each side
?^2 +16-16 = 100-16
?^2 = 84
Take the square root of each side
sqrt(?^2) = sqrt(84)
? = sqrt(4) sqrt(21)
? = 2 sqrt(21)
1. the complement is when two angles add up to 99 degrees and the supplement is when the two angles add up to 180 degrees.
2. Let x be the measure of the unknown angle .
3. Let 90 -x be it's complement and 180- x be the supplement of the angle .
4. Given 90-x=3x+9 the measure of the complement of an angle is 3x+9. Solve using the following steps.
99-x=3x+9
Add x-9 to both sides to isolate x-terms on right side and numbers on left
90-x+x-9=3x+9+x-9
90-x+x-9=3x+9+x-9
91=4x
divide by 4 to both sides yields
91/4=x
5. Given 3x+99=180-x. The measure of the supplement of an angle is 3x+99. So
3x+99=180-x
Add x+99 to both sides of equations to isolate x on right side and number on left
3x+99+x-99=180-x+x-99
4x=91
X=91/4
6. The angle is x=91/4
Answer:
cos(49) = x/50
Step-by-step explanation:
(The answer to the equation is 32.8)
