I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Answer:
132 ft
Step-by-step explanation:
The radius is 21 ft
We want to find the circumference
C = 2 * pi *r
Letting pi = 22/7
C = 2 * 22/7 * 21
C = 132 ft
Answer:
3 cm
Step-by-step explanation:
3 cm converted to mm would be 30 mm which is bigger than 25 mm
You'd start off by adding the 2 adults together (10.75 + 10.75) which would equal 21.50 dollars. Now you take the three kids together (5.50 +5.50+5.50) which would equal 16.50 dollars.
Now you just take the 16.50+21.50 and add those together---- 38 dollars
1. discriminant = b^2 - 4ac = (-5)^2 - (4 x 1 x 7) = 25 - 28 = -3 [imaginary root]
2. discriminant = (-5)^2 - (4 x 1 x -4) = 25 - (-16) = 25 + 16 = 41 [real and irrational root]
3. discriminant = (8)^2 - (4 x 16 x 1) = 64 - 64 = 0 [double root]
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hope it helps
