Answer:
77
Step-by-step explanation:
Add the numbers together, then divide them to how much numbers are there.
74 + 75 + 80 + 76 + 75 + 81 + 78 = 539
Since there are 7 numbers, you divide 539 by 7.
539/7 = 77
Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property
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Explanations:
Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments
Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD
Explanation for Reason 5: Any segment is congruent to itself; ie, the same length
Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.
We are given the steps that are laid to determine the value of x in the expression |2x -4| - 3 = 3. First step is to add 3 to both sides, then simplify, then determine x. The first incorrect step is step 1 since we add not subtract.
Answer:
6
Step-by-step explanation:
We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:
5x + 8 = 9x + 12
Minus 8 on both sides
5x = 9x + 4
-4 = 4x
x = -1
Now substitute both sides of the equation with -1 instead of x
-5 + 8 = -9x + 12
3 = 3
XY = MY + XM
XY = 3 + 3 = 6
Hope this helps :)
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The answer to 9 would be (-3,-4) and (2,6) because if you plug in -3 for x in either of the equations and plug in 4 for y in the equations, both sides of the equation are the same number. also, if you plug in 2 for x and 6 for y both sides of the equation equal each other. The answer to 10 is (-1,1) and (7,33). if you plug them in they are equal:)