Answer:
c
Step-by-step explanation:
Complete question :
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answer:
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
Step-by-step explanation:
Given:
Length AC = 7 inches
Length BC = 24 inches
Length AB = 25 inches
Since it is a right angle triangle,
m∠C = 90°
To find the measures of the angle in ∠A and ∠B, we have :
For ∠A:
∠A = 73.7°
For ∠B:

∠B = 16.26 ≈ 16.3°
Therefore,
m∠A = 73.7°
m∠B = 16.3°
m∠C = 90°
Answer:
Step-by-step explanation:
<u>GIVEN:
</u>
To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.

First, thing you do is switch sides.

Multiply by 21 from both sides.

Solve.
Multiply the numbers from left to right.
Use the order of operations.
PEMDAS stands for:
- Parentheses
- Exponents
- Multiply
- Divide
- Add
- Subtract


- <u>Therefore, the final answer is x=24.</u>
I hope this helps. Let me know if you have any questions.
Answer:
ABC = 30
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+14 + x+7 = 90
Combine like terms
3x+21 = 90
Subtract 21 from each side
3x+21-21 = 90-21
3x = 69
Divide by 3
3x/3 = 69/3
x = 23
ABC = x+7 = 23+7 = 30