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3 years ago

Line d is parallel to line c in the figure below. Which statements about the figure are true? Select three options.

Mathematics

1 answer:

Andreyy893 years ago

8 0

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2. < 1 and < 4 are alternate interior angles.

3. < 3 and < 6 are vertical angles.

4. There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

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Learning the basics 6.23 suppose you select one value from a uniform distribution with a=0and b=10.what is the probability that

IgorC [24]

The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
$P(5 \ \textless \ x \ \textless \ 7) = \frac{2}{10} = \frac{1}{5}$
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
$P(2 \ \textless \ x \ \textless \ 3)=\frac{1}{10}$
c. The mean is given by:
$\mu=\frac{a+b}{2}=\frac{0+10}{2}=5$
d. The variance is given by:
$\sigma^2}=\frac{1}{12}(b-a)^{2}=\frac{1}{12}(10)^{2}=8.3333$
The standard deviation is:
$\sqrt{\sigma} = \sqrt{8.3333} =2.887$

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3 years ago

If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses? $480.29 $629.75 $779.21 $92

Black_prince [1.1K]

I just had the question and the answer is $629.75

8 0

3 years ago

Read 2 more answers

.25 is 1/8 of what number

LenaWriter [7]

2 i believe because if .25 is equal to 1/8 then that mean the 4/8 would be equal to 1 and in turn 8/8 would equal 2.

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3 years ago

A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?

jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get x^2 + y^2 + 6y = 72.

x^2 is already a perfect square. Focus on rewriting y^2 + 6y as the square of a binomial: y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9 - 9 = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2. Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0

3 years ago

How many pounds are in 8.5 kilograms?<br> The answer is 18.8 with rounding.<br> How do I get this

dimaraw [331]

1 Lb is equal to 0.453592 Kg.

Therefore 8.5 Kg is equal to 18.7 Lbs. If you round 18.7 you get 19 Lb.

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3 years ago