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Gekata [30.6K]
3 years ago
14

I need help with this problem! Must explain why.

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

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Point O is the center of the given circle. What is the measure of yz?
jasenka [17]

Answer:

  • B. 108°

Step-by-step explanation:

<u>XO = YO equal as radius, therefore</u>

  • m∠X = m∠Y = 54°

∠YOZ is exterior angle of the triangle OXY and equal to sum of non-adjacent interior angles

  • m∠YOZ = 54° + 54° = 108°

Arc YZ is 108°

Correct option is B

8 0
3 years ago
Please help me answer this.
Mariulka [41]

Answer:

(a) 3

Step-by-step explanation:

Calculate the slope m of the line given using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)

m = \frac{2-3}{3-0} = - \frac{1}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{3} } = 3 → (a)


5 0
3 years ago
What the answer is? Please answer fast!
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Answer:

A

Step-by-step explanation:

it includes all the combinations.

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