Supplementary angles mean that two angles equal to 180°.
Let us assume the 2 angles are angle A and angle B.
Angle A is 4 times bigger than Angle B, the supplement.
Let Angle B be represented by x.
Angle A is 4x ; Angle B is x.
4x + x = 180°
5x = 180°
x = 180°/5
x = 36° This is the measure of angle B.
4x = 4(36°) = 144° This is the measure of angle A.
4x + x = 180°
144° + 36° = 180°
180° = 180°
5 to the fifth power or 3125
Answer:
arc = 15π
Step-by-step explanation:
The arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
given diameter = 24 then r = 24 ÷ 2 = 12
arc = 2π × 12 × 
= 24π × 
= 3π × 5
= 15π
Normally 7 envelopes but on rare occasions, there may be more due to If the packages are filled with Envelopes. Also depending on if the 7 packages are boxes of envelopes, and in that case, 140 envelopes times 7, which would be 980 envelopes in the 7 packages. 140 * 7 = 980.
To find the slope between two coordinates, you use the formula:
m = y2 - y1/x2 - x1
If coordinate A is (-2, 5) and coordinate B is (3, -4), then:
y2 = -4
y1 = 5
x2 = 3
x1 = -2
So, just substitute the points into the formula.
m = -4 - 5/3 - (-2)
m = -9/5
The slope of the line is -9/5.