Answer:
x=6
B = 20
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
55+ 3x+2 = 13x-3
Combine like terms
57+3x = 13x -3
Subtract 3x from each side
57+3x-3x = 13x-3x-3
57 = 10x-3
Add 3 to each side
57+3 = 10x-3+3
60 = 10x
Divide each side by 10
60/10 = 10x/10
6 =x
We also want angle B
B = 3x+2
3*6+2
18+2
20
Answer:
The total amount without tax is $141.57
Step-by-step explanation:
Since the coupon is 10% off, they would only have to pay 90% of what they would before (this is before tax). To find out the total after the coupon you would find 90% of 157.30. (This is the longer but better explainable/showable way)
157.30 / 100 = 1.573 (this is 1%)
1.573 * 90 = 141.57
Therefore the answer is $141.57
A basic algebraic linear equation is just a fancy way of saying "equation of a line". They are most likely referring to the formula y=mx+b, where m is the slope and b in the y intercept. :)
Answer:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is 
.
Step-by-step explanation:
There are two kew parameters for a sphere: Center (
, 
, 
) and Radius (
). The radius is the midpoint of the line segment between endpoints. That is:
The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:
The general formula of a sphere centered at (h, k, s) and with a radius r is:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .
Assuming that rent will always be constant.
C= 250×S+ 7500 for S>0
