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s344n2d4d5 [400]
3 years ago
5

In the figure, a||b , and both lines are intersected by transversal t. Complete the statements to prove that ∠2 and ∠8 are suppl

ementary angles.
Menu Options
m∠2 = m∠7 ( )
m∠7 + m∠8 = 180° ( )

Mathematics
1 answer:
agasfer [191]3 years ago
8 0

Answer:

Step-by-step explanation:

m∠2 ≅ m∠7 [Alternate exterior angles]

m∠7 + m∠8 = 180° [Linear pair theorem]

m∠2 + m∠8 = 180° [Substitution property]

∠2 and ∠8 are supplementary [Definition of supplementary angles]

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6

Step-by-step explanation:

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Answer:

y= -8 or 8

Step-by-step explanation

30-6= 24

24/3=8

y=8

15+y=7

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Select the correct answer. Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare
Lunna [17]

Answer:

B: The mean study time of students in Class B is less than students in Class A.

Step-by-step explanation:

To find out why answer B is the right answer, I will give you facts from each option.

Option A is false. <em>The mean study time in Class A is 4.8. Meanwhile in Class B it is 4. For Class A, sum up the 20 study times which is 96 and divide them by 20, you will get 4.8 hours of mean study time. For Class B, the sum of the 20 study times is 80, which divided by 20 will be 4. </em>

Option B is True. <em>See previous explanation. </em>

Option C is False. <em>The median study time in Class B is 4. The median study time in Class A is 4.8, </em>

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Answer:

(x + 14)² + (y – 21/2)² = 1

Step-by-step explanation:

The equation of a circle can be written as seen below

(x – h)² + (y – k)² = r²

Where (h,k) is at the center and r = radius

We are given that the radius is 1

We are also given that the center is at (-14,21/2)

So we know that r = 1, h = -14, and k = 21/2

So to find the equation of the circle we simply substitute these values into the equation of a circle

Equation of a circle: (x – h)² + (y – k)² = r²

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Substitute values

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The two negative signs before the 14 cancel out and it changes to + 14

The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1

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