Step-by-step explanation:
5x-17 and 3x-11 are supplementary angles
They add up to 180 degrees
5x-17 + 3x - 11 = 180
8x - 28 = 180
8x= 208
x= 26
3x-11, 90, and 2y + 5 added together equal 180
3x-11 + 90 + 2y + 5 = 180
3(26) - 11 + 2y + 5 = 90
78 - 6 + 2y = 90
72 + 2y = 90
2y = 18
y = 9
I hope this helps!!!
Answer:
f = 7
Step-by-step explanation:
7f = 49
Divide each side by 7
f = 7
SOLUTION:
Let whole number = x
x + 2x^2 = 21
2x^2 + x - 21 = 0
2x^2 + 7x - 6x - 21 = 0
x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0
( 2x + 7 ) ( x - 3 ) = 0
2x + 7 = 0
2x = - 7
x = - 7 / 2
OR
x - 3 = 0
x = 3
ANSWER:
Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.
Hope this helps! :)
Have a lovely day! <3
Answer:
15/2
Step-by-step explanation:
5 3/4 - 1/6x = 4 1/2
move the variable to it's own side.
5 3/4 - 4 1/2 = 1/6x
change the subtracting side to have common denominators
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)
30/4 = x
reduce: 15/2 = x
Answer: e. 
Step-by-step explanation:
1. You have the following expression given in the problem:
2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by 
. Then, you obtain:
