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zhuklara [117]
3 years ago
10

What theorem or postulate can you use to determine a relationship between these two angles? Solve for x.

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0
It's the consecutive interior angles theorem; it goes like this:

95° = (2x + 5)<span>°
90</span><span>° = 2x</span>
45<span>° = x

Basically it says the alternate interior angles of two parallel lines that are cut by a transverse line are equal/the same.
</span>


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Yoo can some on help im just a dud that suck a ixl
Airida [17]
I think the answer is 58, but im not 100% sure so im sorry if it is wrong
5 0
3 years ago
48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a
son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 125, \sigma = 24

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 125}{24}

X - 125 = 1.28*24

X = 155.72

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

4 0
3 years ago
Read 2 more answers
Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.
ludmilkaskok [199]

Answer:

Colton.

Step-by-step explanation:

Amy: 220% is basically \frac{220}{100} which in decimal form, is 2.20.

Braden: 100% + 100% + 20% = 220%, so it is accurate.

Colton: 100%  + 10% + 10% = 120%, not 220%.

Dainielle: 100% of 75 is 75. Dividing the 100% of 75 by 5 makes a 20%. Adding 100% of 75 twice makes 200%. 200% + 20% = 220%, so it is accurate.

4 0
3 years ago
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What is 0.2 in the 2 <br> keep going as a fraction
ollegr [7]
It is 2/10 for tour question
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3 years ago
Carla is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that
Contact [7]

Answer:

7/80

Step-by-step explanation:

(3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles

P ( green or yellow  ) = number of green or yellow / total

                = (3+4)/20  = 7/20

Replace  

so we have (3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles

P (blue) = number of blue/ total

                = 5/20  = 1/4

P ( green or yellow, replace, blue) = 7/20 * 1/4 = 7/80          

8 0
3 years ago
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