Answer:
x = 10 , y = 15
Step-by-step explanation:
8x - 10 and 7x are alternate angles and are congruent , then
8x - 10 = 7x ( subtract 7x from both sides )
x - 10 = 0 ( add 10 to both sides )
x = 10
Then
8x - 10 = 8(10) - 10 = 80 - 10 = 70
6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is
6y + 20 + 70 = 180
6y + 90 = 180 ( subtract 90 from both sides )
6y = 90 ( divide both sides by 6 )
y = 15
The principal, real, root of:
![\sqrt[2]{55}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B55%7D)
=7.41619849
Answer:
5a(6a-7) = 30a² - 35a
Explanation:
Before we begin, remember the following:
a(b+c) = ab + bc
Now for the given:
Assume that the first question mark is x and that the second question mark is y.
The expression now becomes:
(6a-x) * 5a = ya² - 35a
Distribute the 5a over the bracket and equate it with the right-hand side as follows:
5a(6a) - 5a(x) = ya² - 35a
30a² - 5ax = ya² - 35a
By comparison:
30a² = ya² ..............> This means that y = 30
-5ax = -35a
-5x = -35
5x = 35
x = 35/5
x = 7
Based on the above, the expression is:
5a * (6a-7) = 30a² - 35a
Hope this helps :)
