The pizza delivery girl's paycheck was 89.25. If she worked 17 hours this week, how much was she paid per hour.

Points A,B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ABC is 180 degrees

oee [108]

Answer:

Step-by-step explanation:

Statements Reasons

1). Points A, B and C form the triangle 1). Given

2). Let DE be a line passing through 2). Definition of parallel lines

B and parallel to AC

3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4 3). Theorem of Alternate

interior angles

4). m∠1 = m∠4 and m∠3 = m∠5 4). Definition of alternate angles

5). m∠4 + m∠2+ m∠5 = 180° 5). Angle addition and definition

of straight lines

6). m∠1 + m∠2+ m∠3 = 180° 6). Substitution

3 0

3 years ago

Please help

Firdavs [7]

Answer:

y = -x -3

Step-by-step explanation:

I went to Desmos and kept guessing y intercepts until the line passed through the point (-4, 1). Sorry I can't explain the real way to figure this out.

5 0

3 years ago

A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C,

deff fn [24]

Answer:

75+25=100

Step-by-step explanation:

3 0

3 years ago

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

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

$Z = \frac{85.1 - 61.1}{12}$

$Z = 2$

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have $X = 299.2, \mu = 264, \sigma = 22$ .

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

$Z = \frac{299.2 - 264}{22}$

$Z = 1.6$

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have $X = 7.26, \mu = 7.1, \sigma = 0.4$ .

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

$Z = \frac{7.26 - 7.1}{0.4}$

$Z = 0.4$

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

3 0

3 years ago

how can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you

Anit [1.1K]

The reason how the expression are equivalent given below:

<h3>What is Distributive Property?</h3>

Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.

The Complete question is:

How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.

Distributive property represents distribute the outside number among the number or digits in parenthesis.

For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.

When we solve the expression 7(20 + 3) using the distributive property,

we first multiply every addend by 7.

This is known as distributing the number 7 amongst the two addends and then we can add the products.

This means that the multiplication of 7(20) and 7(3) will be performed before the addition.

Hence, 7(20) + 7(3) = 140 + 21 = 161.

Learn more Distributive Property here:

brainly.com/question/5637942

#SPJ1

8 0

2 years ago