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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
Answer:
if your solving for a its a=10b/9
Step-by-step explanation:
You are simply just plugging in a number value for a variable to be able to solve the equation.
Answer:
18 and 11/16
Step-by-step explanation:
I converted the two numbers into improper fractions which leaves me with
71/8+157/16
I thenn made sure I had common denominators, which means I need to multiply the first number by 2/2 and I'm left with:
142/16+157/16
I can now add the 2 numbers together and I get:
299/16
now we just need to convert the number into a mixed number by dividing, and I am left with:
18 and 11/16
A function is a relation in which every input has one output.
Relation 1 is a set of points where each x value has a single y value. function
Relation 2 is an equation of a line. With the exception of vertical lines, all lines are functions. This example is not a vertical line. function
Relation 3 is a graph of an absolute value equation (y=|x|-1). We can use the vertical line test and see that it is a function.
Relation 4 has input two traveling to two outputs (A and B). So it is not a function.
Answer: 4
