Answer:
x = 9
y = 6
Step-by-step explanation:
Let's set up equations:
x + y = 15
x - y = 3
Let's rearrange one of these equations to use the substitution method:
x - y = 3
Add y to each side:
x = y + 3
Substitute in for x:
x + y = 15
y + 3 + y = 15
Combine like terms:
( y + y ) + 3 = 15
2y + 3 = 15
Subtract 3 from each side:
2y = 12
Divide each side by 2:
y = 6
Substitute this in to find the other variable:
x + y = 15
x + 6 = 15
Subtract 6 from each side:
x = 9
Answer:
100 pi cm^2
or approximately 314 cm^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
The radius is 5
SA = 4 *pi * 5^2
SA = 4*pi(25
SA = 100 pi cm^2
If pi is 3.14
SA = 100 *3.14 = 314 cm^2
Answer:
I accidently clicked answer and it won't let me quit
Step-by-step explanation:
I'm not even in high school yet D: sorry
Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° × (n - 2) ← n is the number of sides
Here n = 8 ( octagon ), hence
sum = 180° × 6 = 1080°
let the measure of 1 congruent angle be x
Then sum the 8 angles and equate to 1080
100 + 120 + 140 + 5x = 1080
360 + 5x = 1080 ( subtract 360 from both sides )
5x = 720 ( divide both sides by 5 )
x = 144
Thus each of the 5 congruent angles is 144°
The triangle is an isosceles triangle so that means the base angles must be congruent.
The sum of the interior angles of a triangle add up to 180 degrees.
Subtract 52 degrees from 180 degrees.
180 - 52 = 128
Divide 128 degrees by 2.
128/2 = 64
m∠X = 64°
