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3 years ago

4. Find the value of r so that the line that passes through the following points has

Mathematics

1 answer:

makkiz [27]3 years ago

7 0

Answer:

r = -9

Step-by-step explanation:

use the slope formula:

(2-0) / (r-3) = -1 /6

cross-multiply:

-1(r - 3) = 2(6)

-r + 3 = 12

-r = 9

r = -9

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Help this one pplss

erik [133]

Answer:

x = 10, y = $\frac{4}{3}$

Step-by-step explanation:

The opposite sides of a parallelogram are congruent.

For LMNO to be a parallelogram then

ON = LM and OL = NM, that is

ON = LM

7x - 6 = 6x + 4 ( subtract 6x from both sides )

x - 6 = 4 ( add 6 to both sides )

x = 10 , then

NM = x - 9 = 10 - 9 = 1 and

OL = NM , that is

3y - 3 = 1 ( add 3 to both sides )

3y = 4 ( divide both sides by 3 )

y = $\frac{4}{3}$

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3 years ago

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Nataly_w [17]

The table lists three points on the graph of a proportional relationship.

The equation for the relationship is y = 12 x

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4 years ago

Dimitrius returned 5 library books last week, returned 3 books this week, and then checked out 8 more books. He now has 12 libra

g100num [7]

To solve this problem, we have to set up an equation. Let the variable x represent the number of books that Dimitrius had before last week. x - 5 - 3 + 8 = 12 To begin simplifying this equation, lets combine terms on the left side of the equation. x - 8 + 8 = 12 The -8 and +8 cancel each other out, leaving us with: x=12 Therefore, Dimitrius had 12 books before last week. Hope this helps! :)

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3 years ago

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Line p is parallel to line q. if the measure of angle 3 is 54°, what is the measure of angle 6

Free_Kalibri [48]

Answer:

$m\angle 6=54^o$

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

$m\angle 6=m\angle 3$ ---> by alternate interior angles