Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
Answer:
p=15
Step-by-step explanation:
24/8=3
3x5=15
It is generally useful to use the formula. The procedure is to substitute the given values for the variables in the formula, then do the arithmetic.
... A = (1/2)r²·θ . . . . r is the radius, θ is the central angle in radians
Put the numbers in ...
... A = (1/2)(4 in)²·(π/3)
... A = 8π/3 in² ≈ 8.37758 in²
Answer:
Step-by-step explanation:
b is greater than or equal to 4: 4 ≤ b
and at most 13 : b ≤ 13
4 ≤ b ≤ 13
ANSWER
5
EXPLANATION
We want to simplify:
![|x + 3|](https://tex.z-dn.net/?f=%20%7Cx%20%2B%203%7C%20)
when x=2.
We substitute x=2 into the absolute value expression to obtain:
![|2 + 3| = |5|](https://tex.z-dn.net/?f=%7C2%20%2B%203%7C%20%20%3D%20%20%7C5%7C%20)
The about value of 5 means what is the distance of 5 from zero on the real number line.
![|2 + 3| = |5| = 5](https://tex.z-dn.net/?f=%7C2%20%2B%203%7C%20%20%3D%20%20%7C5%7C%20%20%3D%205)