Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y
Answer:
Step-by-step explanation:
The given expression is :
We need to simplify the above expression.
We know that,
or
So, the simplified form of the given expression is . Hence, the correct option is (A).
<h3>
Answer: Choice D</h3><h3>
m = n</h3><h3>
b = sqrt(pi)*a</h3>
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Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.
Answer:
B. Florence promoted economic and social freedom
Step-by-step explanation:
Edgenuity 2020
Answer:
$159.95
Step-by-step explanation:
Let price of trumphet be defined by
price of clarinet = $139.95
Number of clarinets sold = 19
Earning through clarinets' sale =
Total earning of store = $4578.45
Earning through trumphets' sale =
price of one trumohet =
price of clarinet = $159.95