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irina [24]
3 years ago
10

Line n intersects lines 1 and m, forming the angles shown in the diagram below.

Mathematics
1 answer:
bija089 [108]3 years ago
7 0

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

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Answer:

D.

Step-by-step explanation:

First, multiply straight across and put everything together:

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Notice we can simplify by cancelling a b and reducing 3/12:

=\frac{ab}{4c}

This cannot be simplified further.

D.

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3 years ago
It took a 3D priner 10528 minutes to print 87 percent of a 3D print job. At this rate of speed how much time will take for the p
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The time it would take for the print to reach 100 percent completion is 12,101 minutes 9 seconds.

<h3>What is time it would take to reach 100%?</h3>

The mathematical operations that would be used to determine the required value are division and multiplication. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is  ÷. Multiplication is the process of determining the product of two or more numbers. The sign used to denote multiplication is ÷.

Other mathematical operations that are used to solve problems include addition and subtraction.

Time it would take to reach 100% completion = (minutes it takes to print 87% of the words x 100%) / 87%

Time it would take to reach 100% completion = (10,528 x 1) / 0.87 =

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= 12,101. 15

= 12,101+ (0.15 x 60)

= 12,101 minutes 9 seconds

To learn more about division, please check: brainly.com/question/13281206

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The set of numbers running from least to greatest is C.
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