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Alenkinab [10]
3 years ago
10

A.)23 B.)60 C.)53 D.)30

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer:

ABC = 30

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

2x+14  + x+7  = 90

Combine like terms

3x+21 = 90

Subtract 21 from each side

3x+21-21 = 90-21

3x = 69

Divide by 3

3x/3 = 69/3

x = 23

ABC = x+7 = 23+7 = 30

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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

4 0
3 years ago
This triangle is a multiple of one of the triples listed here. What is the hypotenuse?
stiv31 [10]

Answer:

50 units

Step-by-step explanation:

you use Pythagorean-theorem  which means A^2+B^2 =C^2

It does not matter the order of A and B because it is adding. But C is the hypotenuse.

If we plug in the # this is what it looks like...

14^2 +48^2=C^2

        or

48^2+14^2=C^2

14*14= 196

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then you add

196+2,304=C^2

2,500= C^2

and you can use a calculator for this part you do 2,500

with the 2,500 you use the sign as in the picture and it gives you...

50

which means 50*50 = 2,500

5 0
2 years ago
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Help me to do this question ​
gtnhenbr [62]

Step-by-step explanation:

here is tha answer..hope it helps..mark me as brainliest

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What is the common factors of 30 25 and 40
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5 and 1 are the common factor between them 
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STEP BY STEP EXAMPLE:

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