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4 years ago

In the diagram below DE is parallel to XY. What is the value of y?

Mathematics

2 answers:

jeka944 years ago

7 0

it would be 94 hope this helps

Alenkasestr [34]4 years ago

7 0

Answer:

Option A

Step-by-step explanation:

Straight lines DE and XY are parallel lines and a transverse is intersecting these lines at two distinct points.

As evident from the figure ∠Y and angle having the measure of 94° are alternate interior angles.

Since alternate interior angles are always equal, so ∠y = 94°

Option A is the answer.

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3 years ago

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3 years ago

What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)

Agata [3.3K]

The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Step-by-step explanation:

We need to write the equation parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3)

The standard form of point slope equation is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing the given equation $y=-\frac{1}{5} x +7$ with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

$y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5$

So, b= -5 and slope = -1/5 the equation of new line is:

$y = mx+b\\y=-\frac{1}{5}x-5$

So, The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Keywords: Point Slope form

Learn more about point slope form at:

#learnwithBrainly

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3 years ago

Two times the quantity of a number minus 12

Lana71 [14]

Answer:

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Step-by-step explanation:

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4 years ago