True or False All lines are congruent to one another.

Mathematics

2 answers:

Tanya [424]2 years ago

8 0

Answer:

This is false. Lines will be congruent if they have the same length, which is not the case in all situations.

horrorfan [7]2 years ago

6 0

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments.

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Emilia added 2 1⁄8 cups of brown sugar to the cookie dough and 1 2⁄8 cups of white sugar to the dough. How much more brown sugar

alexandr1967 [171]

2 1/8 - 1 2/8 = 7/8 cups more brown sugar.

3 0

2 years ago

The function f(x) = 16,800(0.9)x represents the population of a town x years after it was established. What was the original pop

Setler79 [48]

I am guessing that the correct form of equation is:

f(x) = 16,800(0.9)^x
where x is the exponent of (0.9)

Since we are looking for the original population and x stand sfor the number of years, therefore x=0
substituting:
f(x) = 16,800(0.9)^0

Since (0.9)^0 would just be equal to 1. Therefore the original population is 16,800.

Answer: B. 16,800

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2 years ago

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

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:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have $X = 85.1, \mu = 61.1, \sigma = 12$ . So