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:
5 FULL necklaces.
Step-by-step explanation:
85/15
About 5.667
0.667 of a necklace doesn't count
So just 5! :)
Answer:
≈ 50 ft²
Step-by-step explanation:
<u>Area of circle:</u>
<u>Given:</u>
<u>Then:</u>
- A= 3.14 * 4² = 50.24 ≈ 50 ft²
Answer:
z = -4 1/2
Step-by-step explanation:
1. First change the mixed fractions to improper fractions so it's easier

2. Simplify

3. Cross multiply

4. Simplify again (distributive property)

5. Distributive property


6. Subtract 32 from both sides

7. Simplify

8. Subtract 80 from both sides

9. Simplify

10. Divide both sides by 16

11. Simplify

Sorry if it was too long but hope this helps! :)
And also try using symbolab cuz it gives step by step explanations it's really good!