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VARVARA [1.3K]
4 years ago
12

Two angles with measures (6x + 60) and (90) are supplementary. What is the value of x?

Mathematics
2 answers:
Elis [28]4 years ago
6 0
Supplementary means that the angles add to 180, so solve the equation 6x+60+90=180. 6x=30 x=5
marshall27 [118]4 years ago
5 0
Supplementary angles add up to 180, so 
6x+60+90 = 180 and solve for x
6x= 30
x=5
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4C. Quintin is using the three different shaped
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The smallest number of tiles Quintin will need in order to tile  his floor is 20

The given parameters;

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  • number of each shape = 5
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  • width of the floor, W = 6 m = 600 cm

To find:

  • the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2

Area of the floor is calculated as;

A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2

The maximum number tiles needed (this will be possible if only one shape type is used)

maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number=  60

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

3 \times \ smallest \ number  = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20

Thus, the smallest number of tiles Quintin will need in order to tile  his floor is 20

Learn more here: brainly.com/question/13877427

3 0
3 years ago
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