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ExtremeBDS [4]
3 years ago
14

In the figure, PR = 15x – 11 and PQ = 3x + 6. Find QR in terms of x.

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer: 12x - 17

Step-by-step explanation:

To find QR subtract PQ from PR

15x-11 -(3x+6) ---> 15x - 11 - 3x -6 = 12x -17

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What is the value of x?
Helen [10]
They should be the same since it’s congruent ??
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3 years ago
Solve the following system of equations by graphing and select the correct answer below:
JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

x=5\\y=3

7 0
3 years ago
Read 2 more answers
The answer to this problem?
LenaWriter [7]

The simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

<h3>How to simplify the expression?</h3>

The expression is given as:

\sqrt{\frac{162x^9}{2x^{27}}}

Divide 162 and 2 by 2

\sqrt{\frac{81x^9}{x^{27}}}

Take the square root of 81

9\sqrt{\frac{x^9}{x^{27}}}

Apply the quotient rule of indices

9\sqrt{\frac{1}{x^{27-9}}}

Evaluate the difference

9\sqrt{\frac{1}{x^{18}}}

Take the square root of x^18

\frac{9}{x^9}

Hence, the simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

Read more about expressions at:

brainly.com/question/723406

#SPJ1

5 0
2 years ago
Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the
sergeinik [125]

Answer:

40 is the full amount

Step-by-step explanation:

4 0
3 years ago
Kasha drank 1quaet of water in two minutes. How many cups per second did she average
Karolina [17]
There are 4 cups in a quart and 60 seconds in a minute. So 4/120 cups per second or 1/30 cups per second.
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