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notsponge [240]
3 years ago
14

If mAD=85 degrees and mBC=31 degrees find the value

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0
Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation:  122 = 13x - 21

Solve this, to find the x = 11.
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2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 m
pychu [463]
The speed at which they are moving apart = 475 + 525 = 1000 mi/h

Time  = distance / speed
         = 6000 / 1000  = 6 hours

The answer is 6 hours.



8 0
3 years ago
The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
Dimas [21]
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
5 0
3 years ago
Read 2 more answers
Solve step by step<br>2(p+8)=26
romanna [79]

Answer:

<h2>p = 5</h2>

Step-by-step explanation:

2(p+8)=26\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup^1(p+8)}{2\!\!\!\!\diagup_1}=\dfrac{26\!\!\!\!\!\diagup^{13}}{2\!\!\!\!\diagup_1}\\\\p+8=13\qquad\text{subtract 8 from both sides}\\\\p=5

8 0
3 years ago
Read 2 more answers
A submarine descends at a rate of 2.6 kilometers per hour.
kotegsom [21]

Answer:

6.24/2.6 = 0.24

0.2 is the answer

Step-by-step explanation:

3 0
3 years ago
Ok can someone please help me? i really need help and no one will help me, its easy middle school math
pashok25 [27]

Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

6 0
3 years ago
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