Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
Answer: Substitution
Step-by-step explanation:
Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.
x=0
let's solve your equation step-by-step
2(4x+3)-12=3x-6
(8x)+(6-12)=3x-6
8x-6=3x-6
subtract 3x from both sides.
8x-6-3x=3x-6-3x
5x-6+6=-6+6
5x=0
5x/5=0/5
x=0
I hope that helps you
Answer:
35 Shelves
Step-by-step explanation:
Important Information:
Mystery section 32 books there are 1120 mystery books
[ So 32 Books in each Section ]
Note:
Divide
Question to Answer:
How many shelves will he need to build
Explanation/Solution:
=
35
Hence, He Need to build 35 Shelves.
