5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
<h3>What are Triangles?</h3>
A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
- Isosceles triangle: has 2 equal base angles.
- Equilateral triangle: has three equal angles, each measuring 60 degrees.
- Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.
5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8. m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
Learn more about triangles on:
brainly.com/question/25215131
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Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
Step-by-step explanation:
Sin: 2 square root 3: 4
Cos: 2:4
Tan: 2 square root 3: 2
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Upper level seat = $25
Mid level seat = $40
Number of tickets to give away is at least 25
Budget constraint = $1000
part A: write a system of two inequalities that describe this situation
Number of tickets constraint:
Upper level + mid level ≥ 25
u + m ≥ 25
Cost constraint :
$25u + $40m ≤ $1000
Part B:
Give away 10 upper level seat tickets and 15 mid level seat tickets
