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olga nikolaevna [1]
4 years ago
3

Which point is on the line that passes through (0, 6) and is parallel to the given line? (–12, 8) (–6, 6) (2, 8) (6, 0)

Mathematics
2 answers:
mylen [45]4 years ago
8 0

Answer:

(-12,8)

Step-by-step explanation:

Given that a line is parallel to the given line with slope (-1/6)

Also the line passes through (0,6)

Out of 4 points given, we have to find the point which lies on this line

We have been given point and slope for the required line

Hence use point slope formula

y-y1 = m(x-x1)

y-6 =- 1/6(x-0)

6y-36 =-x

x+6y-36 =0

Let us substitute the given 4 points and check.

-12+6(8)-36=0

I point satisfies this equaiton

while other points do not

Hence answer is (-12,8)

Komok [63]4 years ago
7 0

Answer:

-12,8

Step-by-step explanation:

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Which of the following is an equation of the line that passes through the point (2, 2) and is parallel to the graph of the equat
pickupchik [31]

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B

Step-by-step explanation:

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y = 3x - 1 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

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4 years ago
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The difference of the same side angles of two parallel lines is 35°. Find all angles
Pavel [41]
<h3>Answer:</h3>

All acute angles are 72.5°; all obtuse angles are 107.5°.

<h3>Explanation:</h3>

Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...

... o + a = 180

... o - a = 35

Adding these two equations gives ...

... 2o = 215

... 215/2 = o = 107.5 . . . . degrees

Then the other angle is ...

... a = 107.5 - 35 = 72.5 . . . . degrees

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All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.

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4 years ago
If 25% of a number is 65 and 60% of the same number is 156, find 35% of that number.
Goshia [24]

Answer:

35% of that number is 91.

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we need to first find 25% of what number equals 65.

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Then, if you use the same method again, 60% of 260 would be 156.

We know "that" number is 260, and all we need to do is find 35% of it.

35% of 260 = 91

Hope this helped :)

8 0
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