Answers:
- Angle A = 76
- Angle B = 37
- Angle C = 67
Triangle ABC is an acute triangle. It's also a scalene triangle.
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Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
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In summary, we have these three interior angles
As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
For number 3, it is reciprocal
and for number 4, it is whole number
You can use Photomath and it will give you step by step and save you a lot of time
Hello!
Input, is another name for the domain of a function, or an x-value. Since we are given the equation, y = 7x² + 3, we can substitute the x-value of 4, into the equation, and solve for the output, the range, or a y-value of a function.
y = 7(4)² + 3 (simplify the exponent)
y = 7(16) + 3 (use the distributive property)
y = 112 + 3 (simplify)
y = 115
Therefore, you are correct! The answer is 115. :)