Six students are working to simplify the expression shown.

Mathematics

1 answer:

Elina [12.6K]4 years ago

7 0

Answer:

Step-by-step explanation:

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The measure of the supplement of an angle is 12 more than twice the measure of the angle. Find the measures of the angle and it'

astra-53 [7]

Supplementary angles add up to 180 degrees-

Let x = "the angle"

supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"

Supplement angle + "the angle" = 180 degrees

(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle

3x + 12 = 180 // Simplify

3x = 168 // Subtract 12 from both sides

x = 56 degrees // Divide both sides by 3

The measure of the angle is 56° and its supplement is 124°

3 0

4 years ago

Kim has worked in the tech industry for some time and would like to start consulting. In opening her new business, she will need

zimovet [89]

Cost of 3 laptops
3×546.78
=1,640.34
Cost of 2 desktop computer
2×1,255.99
=2,511.98
Cost of fax machine
125.99
Total cost
(1,640.34+2,511.98+125.99)
=4,278.31
So Kim will need an additional 778.31 to start her business
4,278.31−3,500
=778.31

7 0

4 years ago

Read 2 more answers

6. a. Name a pair of equations that have exactly one point of intersection. How do you know?

True [87]

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it