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°.
The answer is the first one.
I hope this help c:
<span>You want to buy a bouquet of yellow roses and baby's breath for $16.the baby's breath costs $3.50 per bunch,and the roses cost $2.50 each.you want one bunch of baby's breath and some roses for your bouquet.how many roses can you buy?</span>
The answer to number 5 is 16 because if 1/8 goes per bag then every one pound is stretched into eight bags and you multiply by two for the two pounds and get 16 bags for number six you just divide 1/4 by 3 and get 0.0833 pounds per child
The amount of cooper that are contained in 120 pounds of the brass is equal to 78 pounds.
- Let the amount of copper be C.
<u>Given the following data:</u>
- Quantity of brass = 120 pounds
- Percentage of copper = 65%
To calculate the amount of cooper that are contained in 120 pounds of the brass:
In this this exercise, you're required to determined how many pounds of copper can be found in 120 pounds of the brass. Thus, we would solve for the percentage of copper contained in this type of brass.
Copper, C = 78 pounds
Read more: brainly.com/question/16068904
