Answers:
Angle A = 104 degrees
Angle B = 76 degrees
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Supplementary angles add to 180 degrees.
A+B = 180
(3x-7)+(2x+2) = 180
5x-5 = 180
5x-5+5 = 180+5 ... add 5 to both sides
5x = 185
5x/5 = 185/5 .... divide both sides by 5
x = 37
Use x =37 to find
Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees
Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees
As a check: A+B = 104+76 = 180 so that helps confirm the answer
Answer:
c
Step-by-step explanation:
Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side
a doesn't work because 8+12=20 and 20 is not greater than 20
b doesn't work because 4+5=9 and 9<10
d doesn't work because 6+6=12 and 12 is not greater than 12
c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.
For example, for c,
6+8=14, and 14>10
8+10=18, and 18>6
10+6=16, and 16>8
All you have to do is divide the medium sized jerseys by the total number of jerseys and multiply by 100.
15/50*100=30%
Step-by-step explanation:
angle AOB = x+3
angle AOC = 2x + 11
angle BOC = 4x-7
angle AOC = angle AOB + angle BOC
=> 2x +11 = (x+3) + (4x-7)
2x +11 = 5x - 4
=> 3x = 15
x = 5
subst x = 5 in the given formulas
angle AOB = x +3 =8
angle AOC = 2x + 11 = 21
angle BOC = 4x - 7 = 13
