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tester [92]
3 years ago
12

the lines are below are parallel . if the slope of the green line is - 2/3 , what is the slope of the red line?

Mathematics
1 answer:
lina2011 [118]3 years ago
3 0
If the two lines a re parallel, they would have the same slop which means the red line would have a slope of - 2/3
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The triangles are congruent by the SSS congruence theorem.
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The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

The correct option is (B).

<h3>What is Translation?</h3>

Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.

given:

ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.

Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.

Learn more about this concept here:

brainly.com/question/4280065

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Jannelle needs 280,000 points on a computer game so far she has 96,675 points how many more dose she need use mental math
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Jannelle would need 183,325 more points.
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How many even integers are between -20/3 and 37/5
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Write in​ point-slope form an equation of the line through the pair of points. (3,12) and (5,9)
horrorfan [7]

Answer:

\large\boxed{y=-\dfrac{3}{2}x+16\dfrac{1}{2}\to y=-1.5x+16.5}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, 12) and (5, 9).

Substitute:

m=\dfrac{9-12}{5-3}=\dfrac{-3}{2}=-\dfrac{3}{2}

Put the value of a slope and coordinates of the point (3, 12) to the equation of a line:

12=-\dfrac{3}{2}(3)+b

12=-\dfrac{9}{2}+b

12=-4\dfrac{1}{2}+b          <em>add 4\dfrac{1}{2} to both sides</em>

16\dfrac{1}{2}=b\to b=16\dfrac{1}{2}

Finally:

y=-\dfrac{3}{2}x+16\dfrac{1}{2}

4 0
3 years ago
A small town had a population of 9,800 in 2005. Now, it is 6,300. Write an expression to find the percent of change. What is the
marshall27 [118]

Answer:

  • 35.7% decrease

Step-by-step explanation:

<u>Change in population:</u>

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<u>Percent change:</u>

  • 3500/9800*100% = 35.7% (rounded to the nearest tenth)
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