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velikii [3]
3 years ago
14

What is the measure of angle C?

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0

Answer:

<c=152°

Step-by-step explanation:

We know that A and B are equal because it's an isosceles triangle.

x-14=x/2

2(x-14)=x

2x-28=x

x=28

<A=x-14=28-14=14

<B=x/2=28/2=14

<C=180-14-14=152°

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3 years ago
Consider the vector b⃗ b→b_vec with length 4.00 mm at an angle 23.5∘∘ north of east. What is the y component bybyb_y of this vec
Stells [14]

Answer:

  • \large\boxed {1.59 mm}

Explanation:

<u>1. Given vector:</u>

  • length: 4.00 mm = magnitude of the vector
  • angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)

<u>2. y-component</u>

The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.

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  • y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.

  • \large\boxed{y-component = 1.59 mm}

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3 years ago
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Step-by-step explanation:

6 0
3 years ago
The equation 10x + 5y = 150​
Verdich [7]

Answer:

x = 14.5      y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

      - 5y    -5y

10x = -5y + 150

divide both sides by 10

<u>10x</u> = <u>-5y + 150</u>

10            10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5  -150            -150 +5

5y = 5

now divide by 5

<u>5y</u> = <u>5</u>

5     5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

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4 0
3 years ago
Solve the equation -6(2a + 7) = -22- 8a
Andru [333]

Answer: a = -5

Step-by-step explanation:

First, open up the brackets, and solve it

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bring the -8a to the left side, so that all the a’s are together

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solve

-4a = 20

divide -4 on both sides

a = -5

3 0
3 years ago
Read 2 more answers
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