Answer:
- a. 6.25
- b. AT = 33
- c. y = 3
Step-by-step explanation:
a. <u>Midsegment is half the length of the parallel side:</u>
b. <u>Segment addition postulate:</u>
- AB = AT + TB = 3x + 6 + 42 - x = 2x + 48
<u>Perpendicular bisector of segment divides the segment in two equal halves:</u>
- AT = TB
- 3x + 6 = 42 - x
- 4x = 36
- x = 9
<u>AT is:</u>
c) <u>The point on the angle bisector H is equidistant from the point E and G</u>:
- EH = HG
- 5y + 10 = 28 - y
- 5y + y = 28 - 10
- 6y = 18
- y = 3
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2.11 as a mixed number is 2 11/100. It is already in simplest form.
Answer:
a = 30 degrees; b = 60 degrees; and c = 105 degrees.
Step-by-step explanation:
Angle a and the 30 degree angle are vertical angles and thus are equal.
Since the interior angles of a triangle always add up to 180 degrees, 30 + b + 90 degrees = 180 degrees, so that b must be 60 degrees.
Angle c and the 75 degree angle are straight angles, and so their sum must be 180 degrees. Thus, c = 105 degrees.
