Given:
m∠APD = (7x + 1)°
m∠DPC = 90°
m∠CPB = (9x - 7)°
To find:
The measure of arc ACD.
Solution:
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠APD + m∠DPC + m∠CPB = 180°
7x° + 1° + 90° + 9x° - 7° = 180°
16x° + 84° = 180°
Subtract 84° from both sides.
16x° + 84° - 84° = 180° - 84°
16x° = 96°
Divide by 16° on both sides.
x = 6
m∠APB = 180°
m∠BPD = (9x - 7)° + 90°
= (9(6) - 7)° + 90°
= 47° + 90°
m∠BPD = 137°
m∠APD = m∠APB + m∠BPD
= 180° + 137°
= 317°
<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>
m(ar ACD) = m∠APD
m(ar ACD) = 317°
The arc measure of ACD is 317°.
Answer:
6(base) x 3.5(Height) = 21, 21 divided by 2 (x 1/2) = 10.5
10.5(area of triangle) x 7.75(width) = 81.375
Formula of an area of a triangle:
BH x 1/2
Base x Height x 1/2(basically just dividing by 2)
Now the base:
1.5 x 7.75 x 6 = 69.75
Now let's add the two given volumes:
81.375+ 69.75 = 151.125 ft^3 is your answer.
Answer: Eve is 3
Melissa is 29. (3 + 26 = 29)
Paul is 33 ( 29 + 4 = 33)
3+ 29 + 33 = 65
Step-by-step explanation:
Hello,
Answer A: 2 has two pictures (values)
Answer:
-5
Step-by-step explanation:
The minimum is at the vertex. This is at (1, -5)
The minimum value is -5
