The measures of complementary angles add up to 90 degrees. Angles A and B therefore add up to 90 degrees.
To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.
m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°
5x - 10 = 90
5x = 100
x = 20
Then, plug the value of x back into each expression to find the measures of angles A and B.
m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°
m∠A = 65°
m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°
m∠B = 25°
You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.
65° + 25° = 90°
Perpendicular
If you plotted both on a graph, it would be two straight lines that make 90° angles
D. SSS congruence theorem
Step-by-step explanation:
<u><em>I got SSS since AB and CD are equal and BC and DA are equal plus + the fact that AC=AC shows that it is the SSS congruence theorem</em></u>
Answer:
The area is 452 cm2
Step-by-step explanation:
We use the formula:
Area = π (raduis)2 =π (12cm)´2 = 452, 39 cm2
Answer:
-5, a negative number
Step-by-step explanation: