The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
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Answer:
im guessing its 500
Step-by-step explanation:
Answer:
Part A)
Part B) Length: 17.5 feet and Width: 14 feet
Step-by-step explanation:
Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.
Let
L ----> the length of the rectangular basketball section
W ---> the width of the rectangular basketball section
we know that
The area of the rectangular basketball section is equal to
----> equation A
The length of the section will be 1.25 times the width of the section
so
----> equation B
substitute equation B in equation A
Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
we have
so
solve for W
Find the value of L
substitute the value of W in the equation B
therefore
The dimensions are :
Length: 17.5 feet
Width: 14 feet
Answer:
No solution
Step-by-step explanation:
from the second equation x = -8 + 2y
By substituting in the first equation 4(-8 + 2y) -8y = -16
-32 +8y -8y = -16
-32 = -16
the left hand side not equal the write and side
So there is no solution for the system of equations
means the two lines are parallel