Answer:
1. (B) 73
2. r = 15
Step-by-step explanation:
1. The sum of angles in a triangle is 180°.
62° +45° +k° = 180
k = 180 -107
k = 73
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2. The sum of exterior angles of any polygon is 360°.
4r° +7r° +5r° +8r° = 360°
24r = 360 . . . . . . . . . . . . . collect terms, divide by °
r = 360/24 . . . . . divide by 24
r = 15
All the length, width and height doubled
ANSWER:30/48
multiply both numerator and denominator by 2
Let's say:
lengh=x
width=y
"The length of a rectangle is 4 inches greater than the width."
That means: x=y+4 (in inches).
the parameter is (by definition) 2*lenght+2*width.
so we have 2*x+2y=24.
we also know that x=y+4
Substituting:
2*(y+4)+2y=24.
2*y+8+2y=24
4*y+8=24//substitute 8 from both sides
4*y=16//dividing both sides by 4.
y=4
So the width is 4!
The lenght is y+4=8!
the dimensions are 4 by 8.
(check: 2*4+2*8=24, correct!)
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