Answer:
Equation: 8=4b
b=2
Explanation:
The green line equals 8 and the black time equals 2b+2b. So to form an equation where the green line equals the black line it would look like: 8=2b+2b
8 being the green line
2b+2b being the black line
Then the directions tell us to combine like terms, like terms are terms that are the same such as 2b in this problem, and to combine them means to add them together.
So, 2b+2b= 4b
So the answer is, 8= 4b
In order to solve this equation divide both sides by 4.
Which leaves you with: 8/4= b
Now solve 8/4:
Which gives you:
b=2
Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,
Then the corresponding parts of the triangles will be equal,

Hence Proved.
Answer: x=3
Step-by-step explanation: Step 1: Simplify both sides of the equation.
21x−5=7+17x
21x+−5=7+17x
21x−5=17x+7
Step 2: Subtract 17x from both sides.
21x−5−17x=17x+7−17x
4x−5=7
Step 3: Add 5 to both sides.
4x−5+5=7+5
4x=12
Step 4: Divide both sides by 4.
= 
So Final Answer: <u>x=3</u>
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Answer:
true
Step-by-step explanation: