Answer:
B)
Step-by-step explanation:
The isosceles triangle is simply defined as needing to have AT LEAST two sides of equal length, so the equilateral triangle is included within the category of the isosceles triangle. Thus, the best answer is B).
Answer:
- 78.33°
- 71°
Step-by-step explanation:
1) The sum of angles in a triangle is 180°, so ...
(x +3)° +(x +24)° +(x -10)° = 180°
3x +17 = 180 . . . . . . . . divide by °, collect terms
3x = 163 . . . . . . . . . . . .subtract 17
x = 54 1/3 . . . . . . . . . . .divide by 3
m∠B = (x +24)° = (54 1/3 + 24)°
m∠B ≈ 78.33°
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2) An exterior angle is equal to the sum of the opposite interior angles.
m∠ACD = m∠A + m∠B
(3x -10)° = (x +9)° + 105°
2x = 124 . . . . . . . . . . . . . . divide by °, add 10-x to both sides
x = 62 . . . . . . . . . . . . . . . . divide by 2
m∠A = (x +9)° = (62 +9)°
m∠A = 71°
7.5 pi ft
Hope this helps! :)
I think the answer should be x = 10.101326
Answer:
the expression is:
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
So, the expression is:
and 2730 different ways are possible.