Answer: 18
Step-by-step explanation:
Answer:
Step-by-step explanation:
<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:
[80 - x]° = [90 - 2x]°
+ x° + x°
______________
80° = [90 - x]°
-90° - 90°
__________
−10° = [−x]°
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Answer:
A. Point D could be the image of B.
D is up and to the right of B, so yes. Select choice A
B. Point C could be the image of A.
C is below A, so no
C. Point E could be the image of C.
E is up and to the right from C so yes, Select choice C
D. Point D could be the image of A.
D is down and to the right of A so no.
E. Point E could be the image of B.
E is up and to the right of B so yes. Select choice E
F. Point C could be the image of E.
No C is down and to the left of E.
Answers: A C E
Step-by-step explanation:
Answers:
CB = 14
GF = 8
FB = 9
EF is parallel to CB
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Explanations:
Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14
For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.
FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length
EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.
The point-slope form:
We have the points (3, -4) and (5, 1). Substitute:
The standard form:
<em>multiply both sides by 2</em>
<em>use distributive property</em>
<em>subtract 2y from both sides</em>
<em>subtract 15 from both sides</em>
<h3>Answer: 5x - 2y = -7</h3>