Answer:
x = 12, x = 7
Step-by-step explanation:
The 2 legs of the triangle are congruent, both 2x + 7, then
2x + 7 + 2x + 7 + x + 11 = 85 ← equation for perimeter
5x + 25 = 85 ( subtract 25 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
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Opposite sides are congruent, then
2(2x) + 2(5x + 3) = 104 ← distribute and simplify both sides
4x + 10x + 6 = 104
14x + 6 = 104 ( subtract 6 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
Answer:
n=0
Step-by-step explanation:
Rearrange
10+2=8−2+10
2+10=8−2+10
Combine like terms
2n+10=<u>8n−2n</u>+10
2+10=<u>6</u>+10
Subtract from both sides
2+10=6+10
2+10<u>−10=</u>6+10<u>−10</u>
Simplify
2n=6n
Subtract both sides from 6n of the equation
2=6
2<u>−6</u>=6<u>−6</u>
Solution
n=0
Okay. So 90 yds was cut from the 230 yd yarn. 230 - 90 = 140. 1/2 of 140 is 70. 230 - 70 = 160. The yellow yarn was 160 yds longer than the blue yarn at first.