<h3>
Answers:</h3>
- Problem 5) x = 4
- Problem 6) y = 8
- Problem 7) z = 4
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Explanations:
Problem 5)
Assuming HEFG is a parallelogram, this means the opposite sides are the same length.
EH = GF
x-3 = 4x-15
x-4x = -15+3
-3x = -12
x = -12/(-3)
x = 4
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Problem 6)
We'll use the same idea from problem 5. The opposite sides EF and HG are congruent
EF = HG
3y = 3x+12
3y = 3*4+12
3y = 24
y = 24/3
y = 8
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Problem 7)
For any parallelogram, the diagonals always cut each other in half.
Therefore HK = 2z+3 is exactly half that of segment HF = 22
Put another way, HF is twice as long as HK
2*(HK) = HF
2*(2z+3) = 22
4z+6 = 22
4z = 22-6
4z = 16
z = 16/4
z = 4
You can resolve all of them.
so the first one would be 3q+2p
that second 2p+3q
the third 2p+2q+q which equals 2p+3q
they all end up as the same thing so both are equivalent
Answer:
<em>He drank 0.5 liters</em>
Step-by-step explanation:
1.5 - 0.25 = 1.25 liters
1.25 x 40% = 0.5
Answer:
<u>The quotient is four tenths.</u>
Step-by-step explanation:
Let's divide 36 hundredths into 9 tenths:
0.36/0.9 = 0.4
<u>The quotient is four tenths.</u>
Answer: x = -29
Step-by-step explanation:
-0.59x+0.39x=5.8
Collect like terms
-0.2x = 5.8
Divide both sides of the equation by -0.2
x = -29
Response to user in comments:
-0.59+0.39=-0.2 that is a fact
-0.2/-0.2=1 that is a fact
5.8/-0.2= - 29 that is a fact
These are the facts about the steps of the equation. Solving Steps for Solving the Equation
