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WARRIOR [948]
3 years ago
11

This diagram shows triangles ABC and PQR.

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

<h3>A reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.</h3><h3>Step-by-step explanation:</h3>

We know that the first transfomration is a rotation 90° clockwise.

Notice that vertex R is at the same horizontal coordinate than vertex C, which means the second transformation must include a reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.

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Rudiy27

Answer:

a. P-value=0.421

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Step-by-step explanation:

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5 0
3 years ago
You have 20 coins in your pocket that are either quarter or dimes. They total $3.95. How many quarters do you have? A.16 B.13 C.
bekas [8.4K]

Answer:

B. 13

Step-by-step explanation:

Solve this by setting up system of equations:

0.25x + 0.10y = 3.95

x + y = 20

x equals the number of quarters and y equals the number of dimes. 0.25 is the value of a quarter and 0.10 is the value of a dime.

1. Multiply one equation to have the same coefficient as the other

0.10 · (x + y = 20) = 0.10x + 0.10y = 2

2. Subtract to find the value of one variable

 0.25x + 0.10y = 3.95

<u>- 0.10x + 0.10y = 2</u>

0.15x = 1.95

3. Solve for x by dividing both sides by 0.15

x = 13

3 0
3 years ago
The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai
fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

a)

First, we need to find the new mean (average) if one of the employees gets a 3500 raise.  The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

b)

The mode is the most common number in a set.  Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary.  The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

c)

The most common number is still 35600.  So the mode hasn't changed: 35600.

4 0
3 years ago
John can wash a car in 10 minutes. Brad can wash the same car in 8 minutes. How long will it take them if they work together to
Ann [662]

Answer:

9 min

Step-by-step explanation.

half of ten is 5 and half of 8 is 4 and 4 + 5 = 9

8 0
3 years ago
Read 2 more answers
Large pies cost £3.25 each
kolezko [41]

Answer:

1.65 im no sure

Step-by-step explanation:

3.25+3.25=6.50 +1.80 =8.30

8.30/ divided 5= 1.65

3 0
3 years ago
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