Answer: 59 degrees
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Work Shown:
We have the three angles:
angle A = (3x+2) degrees
angle B = (2x+7) degrees
angle C = 41 degrees
Rule: for any triangle, the three angles add up to 180 degrees
(angle A) + (angle B) + (angle C) = 180
(3x+2) + (2x+7) + (41) = 180
3x+2 + 2x+7 + 41 = 180
(3x+2x)+(2+7+41) = 180
(5x)+(50) = 180
5x+50 = 180
5x+50-50 = 180-50
5x = 130
5x/5 = 130/5
x = 26
Now use this x value to find the measure of angle B
angle B = (2x+7) degrees
angle B = (2*x+7) degrees
angle B = (2*26+7) degrees
angle B = (52+7) degrees
angle B = 59 degrees
Side Note: Angle A is 80 degrees (3x+2 = 3*26+2 = 78+2 = 80)
Another thing to note: A+B+C = 80+59+41 = 180
The surface area is 1000 and the volume is 49
Answer:
5.9
Step-by-step explanation:
The distance between a point A and a point B is A-B. (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9
Answer:
Step-by-step explanation:
All angles in a triangle add up to 180º, so we can make this equation.
7x-2+5x-10+4x=180
Combine like terms
16x-12=180
Add 12
16x=168
Divide
x=16.5
Answer:
105 ways
Step-by-step explanation:
Because the order of selection does not matter, we know that we will be using a combination instead of a permutation.
₁₅C₂ = 15! / (2! * 13!)
= 15 * 14 * ... * 2 * 1 / 2 * 1 * 13 * 12 * ... * 2 * 1
= 15 * 14 / 2 * 1 (The 13! cancels out)
= 105
