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creativ13 [48]
3 years ago
11

Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

m∠C  =  60°

Step-by-step explanation:

we know that sum of angles of a traingle is 18 degrees.

given

m∠A = 60°+α,

m∠B = 60°−α

we have to find  m∠C

m∠A + m∠B +  m∠C = 180

60°+α +  60° - α +m∠C = 180

+α and -α gets cancelled

120°+m∠C = 180

=> m∠C  =  180° -  120° =  60°

Thus, measure of angle c is  60°.

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Solve x2 - 3x = 28 by factoring.
Anastasy [175]

Answer:

<h2>x = -4 or x = 7</h2>

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
The radius of a circle is 18 in what is the area and circumference ​
Inessa05 [86]

Answer:

324 pi .  and 36 pi

Step-by-step explanation:

Area is pi r squared, so 18x18 is 324, times pi which is 324 pi

Circumference is 2 pi r, which is 2 times 18 which is 36, times pi which is 36 pi

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7 0
3 years ago
A mine elevator was at a depth of -120 feet. After 15 seconds, the mine elevator was at a depth of -30 feet. What expression can
Dafna11 [192]

Answer:

The answers to the given question are:

i.  The equipment elevator is at a depth of 176 feet (-176 feet), while the miner's elevator is at a depth of 210 feet (-210 feet) below the surface.

ii. The miner's elevator is deeper than that of the equipment.

The speed of an object is the rate at which the object moves.

i.e. speed =

Thus,

Speed of the equipment elevator = 4 feet per second

Speed of the miner's elevator = 15 feet per second.

Time of descent of the equipment elevator = 30 + 14

                                 = 44 seconds

So that, the distance of the elevator at this time is;

speed =

⇒ distance = speed x time

                  = 4 x 44

                  = 176

  distance = - 176 feet

The distance of the miner's elevator after 14 seconds is:

speed =

⇒ distance = speed x time

                 = 15 x 14

                 = 210

 distance = - 210 feet

Thus, after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miner's elevator is at a depth of 210 feet (-210 feet) below the surface.

Therefore, the miner's elevator is deeper than that of the equipment.

Step-by-step explanation:

done

4 0
2 years ago
Find the value of <br> (16/81)^3/4
AlexFokin [52]

Answer:

1.92636657×10^-3

Step-by-step explanation:

This question looks quite awful coz it might be (16+81)^3/4 rather than being (16/81)^3/4....But, if it is (16/81)^3/4 the answer is 1.92636657×10^-3

hope you find it helpful....Thanks very much...

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3 years ago
Show how to use the distributive property to simplify 4(5+x).
VladimirAG [237]

Answer:

Step-by-step explanation:

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8 0
3 years ago
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