Answer:
x = 12
y = -29
Step-by-step explanation:
Our given equations: x + y = -17 and x - y = 41
Solve for x and substitute.
x = -17 - y
(-17 - y) - y = 41
-17 - 2y = 41
2y = -58
y = -29
Solve for x using y
x + (-29) = -17
x = 12
Answer: the polygon has 20 sides.
Step-by-step explanation:
The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
if the sum of the measures of the interior angles is 3960
degrees. This means that
(n - 2) × 180 = 3960
Expanding the brackets by applying the distributive property, it becomes
180n - 360 = 3960
180n = 3960 - 360
180n = 3600
Dividing both sides by 180, it becomes
n = 3600/180
n = 20
Answer:
Step-by-step explanation:
The given expression is;
Factorize;
Cancel out the common factors;
Simplify;
Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle :
12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle :
Volume for rectangular prism is l x w x h
12cm x 6.5cm x 1.25cm = 97.5cm^3