<h3>
Answer: 35 (choice C)</h3>
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Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
- D = 7b+1 = 7*17+1 = 119+1 = 120
- E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
- F = b+8 = 17+8 = 25
As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
Answer:
Step-by-step explanation:
we know that
The lateral area of the cone is equal to
where
r is the radius of the base
l is the slant height
we have
Applying the Pythagoras Theorem find the slant height
substitute in the formula
1 inch = 12 miles
so 6 1/2 inches (or 6.5 inches) = 6.5 * 12 = 78 miles <===
That’s the correct answer
