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3 years ago

If PQ = PQ, then PQ = PQ

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer:

Reflexive property of equality and Definition of congruence

Step-by-step explanation:

The reflexive property states x=x, so PQ=PQ. By the definition of congruence if PQ=PQ then PQ=PQ must also be true.

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Match each system of linear equations with the correct number of solutions

kondaur [170]

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

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4 years ago

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Which statement about the data represented in the dot plot is true?

drek231 [11]

D) median > mode... There is no mode and the median is 6...

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3 years ago

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What is the linear function equation represented by the graph?

victus00 [196]

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Further explanation:

The formula for slope of line can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

The line intersect $\text{y}$ -axis at $\left( {0,- 4} \right).$

Therefore, the $\text{y}$ -intercept is -4.

The line passes through the points $\left( {0,- 4} \right)$ and $\left( {3,- 3} \right)$ .

The slope can be obtained as follows,

$\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}$

The slope of the line is $\dfrac{1}{3}.$

The slope intercept form of the linear equation is given as follows.

$\boxed{y = mx + k}$

Substitute $\dfrac{1}{3}$ for m and -4 for k in equation $y = mx + k.$

$y = \dfrac{1}{3}x - 4$

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

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3 years ago

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How many plastic bags does a person in the United States use after 5 years?

solniwko [45]

Answer:

2 mill

Step-by-step explanation:

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4 years ago

3 packs of soda cost $10 less than 5 packs of soda. Write an equation and solve to find the cost of one pack of soda *

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