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Anna11 [10]
3 years ago
12

5. Each pair of polygons below are similar. Show your work! Solve for x:

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).

If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.

18 is the length of the top of the trapezoid.

You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.

14=2x
Divide by 2 and x=7

(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
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3 years ago
Please Help!! I will give brainliest to the quick and correct answer
klio [65]

Answer:

The correct option is the graph on the bottom right whose screen grab is attached (please find)

Step-by-step explanation:

The information given are;

The required model height for the designed clothes should be less than or equal to 5 feet 10 inches

The equation for the variance in height is of the straight line form;

y = m·x + c

Where x is the height  in inches

Given that the maximum height allowable is 70 inches, when x = 0 we have;

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Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1

The equation becomes;

y ≤ x + 70

Also when x > 70, we have y ≤ \mid-x + 70\mid   with a slope of -1

To graph an inequality, we shade the area of interest which in this case of ≤ is on the lower side of the solid line and the graph that can be used to determine the possible variance levels that would result in an acceptable height is the bottom right inequality  graph.

6 0
3 years ago
Which of the following statement is correct​
bagirrra123 [75]

Answer:

the 3rd one

Step-by-step explanation:

mark me brainliest if it was helpful

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What is the area of a rectangle that measures 4 1/2 by 2 1/2 inches
Sveta_85 [38]

Answer:

11.25

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