Answer:
see explanation
Step-by-step explanation:
Sum the sides of both polygons and equate.
(20)
x + 4 + x + 2 + x + 5 = 2(x + 1) + 2(x + 3) ← distribute parenthesis
3x + 11 = 2x + 2 + 2x + 6
3x + 11 = 4x + 8 ( subtract 3x from both sides )
11 = x + 8 ( subtract 8 from both sides )
3 = x
(21)
5(12x) = x + 7 + 6x + 9 + x + 10
60x = 8x + 26 ( subtract 8x from both sides )
52x = 26 ( divide both sides by 52 )
x =
= 
Answer:
x = 165, y = 15
Step-by-step explanation:
1. Well, what does supplementary mean? - The angles add up to 180°.
2. Let's form an equation: x + y = 180°
3. Let's say x is the larger angle and y is the smaller angle.
4. Let's form another equation: x = 150 + y
5. Put the two equations next to each other:
x + y = 180
x = 150 + y
6. We know what x is equaled to, so let's plug it into the first equation!
150 + y + y = 180
150 + 2y = 180
-150 -150
2y = 30
y = 15
7. Now, we know what y is, let's find x!
x + 15 = 180
-15 -15
x = 165
Step-by-step explanation:

Answer:
x=38
Step-by-step explanation:
(2x+5)=(3x-33)
2x-3x=-33-5
-x=-38
x=38
Answer:
y=x+6
Step-by-step explanation:
the co-ordinate points are (-2,4)and (4,10) so <u>y2-y1 </u>
x2-x1
<u>10-4 </u> =6
4-2 =6 which will be 1 as the gradient so you will form an equation
<u>y-10</u> =1 cross multiply the values with one so the answer will be y-10=x-4
x-4
take -10 to the other side it will be y=x-4+10 hence y= x+6