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3 years ago

Which statement represents the transitive property of equality?

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

This property states that if quantity a equals quantity b, then b equals a. Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

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In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x

ASHA 777 [7]

Answer:

Yes

Step-by-step explanation:

Given

GH:

$-6y - x = 2$

Required

Can EF be

$4 = y - \frac{1}{6}x$

First, we determine the slope of GH

$-6y - x = 2$

Solve for 6y

$6y = -x - 2$

Solve for y

$y = -\frac{1}{6}x - \frac{2}{6}$

$y = -\frac{1}{6}x - \frac{1}{3}$

An equation has the form:

$y =mx + b$

Where

$m = slope$

By comparison:

$m = -\frac{1}{6}$

Next, determine the slope of EF

$4 = y - \frac{1}{6}x$

Make y the subject

$y = -\frac{1}{6}x + 4$

The slope is:

$m = -\frac{1}{6}$

Compare the slopes of both lines.

$m=m = -\frac{1}{6}$

Since they have the same slopes, then the equation of EF is possible

4 0

3 years ago

Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios ca

Neporo4naja [7]

Answer:

$\dfrac{96}{40}$ and $\dfrac{120}{50}$

Step-by-step explanation:

24 kernels in 10 minutes

In 1 minute she can eat $\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}$

let $x$ be the number of popcorn and minutes so the rate of eating popcorn is of the form

$\dfrac{x12}{x5}$

So, when $x = 6$ we get

$\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}$

$x$ can be any real number

$\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}$

$\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}$

Other two ratios can be $\dfrac{96}{40}$ and $\dfrac{120}{50}$ .

6 0

3 years ago

Frank is a time share broker

Stella [2.4K]

3% up to 10,000
5% over 10,000

10500 - 10000 = 500

10000 * 0.03 = 300

500 * 0.05 = 25

300 + 25 = 325 total

Answer is B

6 0

4 years ago

I need help with this please

arlik [135]

To find slope, pick any 2 points and use formula: (y2-y1)/(x2-x1)
2 points on line: (4,0), (0,-2)
(-2-0)/(0-4) = -2/-4 = 1/2
a) the slope is 1/2

Y = 1/2x + b
0 = 1/2(4) + b
0 = 2 + b, b = -2
b) -2 is the y intercept

Put the equation together
c) y = 1/2x - 2

7 0

3 years ago

2.2,<br> Write the ratio 1 2/3: 2 2/3 in the simplest form.<br> ,

gulaghasi [49]

Answer:

1:2

Step-by-step explanation:

this would be the answer as 1 2/3: 2 2/3 are the same as 1:2 if you cancel out the 2/3 from both sides.

6 0

3 years ago

Read 2 more answers