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Bezzdna [24]
3 years ago
8

The following triangles are similar. Find side AB.

Mathematics
2 answers:
densk [106]3 years ago
7 0
X+2=6
X=6-2
X=4
Because side length are similar so the length must be equal
jeyben [28]3 years ago
5 0

Answer:

4

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size.

If a triangle ABC is similar to another triangle DEF, then the following equation is true:

\frac{AB}{DE} =\frac{BC}{EF} = \frac{CA}{FD}

Therefore:

\frac{AB}{DE} =\frac{BC}{EF}\\\\\frac{x+2}{6} =\frac{2}{3}

Solving for x:

x=2

The segment AB is:

AB=x+2\\\\Where\\\\x=2\\\\Hence\\\\AB=2+2=4

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est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean
Arte-miy333 [17]

Answer:

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Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

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Mean of 79 and standard deviation of 4.5, so \mu = 79, \sigma = 4.5

Student got 84, so X = 84

The z-score is:

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

Z = \frac{84 - 79}{4.5}

Z = 1.11

The z-score for the statistics test grade is of 1.11.

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Mean of 69, standard deviation of 3.7, so \mu = 69, \sigma = 3.7

Student got 96, so X = 96

The z-score is:

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

Z = \frac{96 - 69}{3.7}

Z = 7.3

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

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3 years ago
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