Answer:
x = 6 for Side 14 - 2x
x = 9 for Side 2x + 1
x = 11 for Side 3x - 1
Step-by-step explanation:
14 - 2x + 2x + 1 + 3x - 1 = 26
-2x + 2x + 3x - 1 + 1 + 14 = 26
3x + 14 + 1 - 1 = 26
3x + 14 = 26
-14 -14
-------------------
3x = 12
/3 /3
------------------
x = 4
Now, plug x = 4 into all the side expressions and find out their lengths.
14 - 2x
= 14 - 2(4)
= 14 - 8
= 6
2x + 1
= 2(4) + 1
= 8 + 1
= 9
3x - 1
= 3(4) - 1
= 12 - 1
= 11
Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.
6 + 9 + 11 = 26
26 = 26 CORRECT
Answer:

Step-by-step explanation:
From the figure,
<h3>∠1 = ∠2 </h3>
- (Alternate angles are equal)
<u>We know that:</u>
- ∠1 = 10x + 2
- ∠2 = 12x - 22
So,
<h3>10x + 2 = 12x - 22</h3>
Add 22 to both sides
10x + 2 + 22 = 12x
10x + 24 = 12x
Subtract 10x to both sides
24 = 12x - 10x
24 = 2x
Divide 2 to both sides
12 = x
OR
<h3>x = 12</h3>
Given that,
∠2 = 12x - 22
Put x = 12
∠2 = 12(12) - 22
∠2 = 144 - 22
<h3>∠2 = 122°</h3>
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Answer:
7x4
Step-by-step explanation: