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3 years ago

Please help!!! :) i’m so confused

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

The correct answer is LN.

If you rotate triangle NLM, it’s easy to see that lines SR and LN are similar.

Two triangles are similar if the ratio of corresponding sides is the same.

If you take the ratio of the following lines:

LN/MN = SR/RT

Where LN = 4
MN = 2
SR = 8
RT = 4

LN/MN = SR/RT

Plug in the values of each side (line):
4/2 = 8/4
2 = 2

Therefore, line LN is proportional to line SR, while line MN is proportional to line RT.

Thus, the correct answer is LN.

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

3 years ago

PLEASE HELP MEEEEEE PLEASEEEEEEEE!!!!!! IM TIMED

crimeas [40]

Set up an equation to solve.

$8.50x (since it is the rate of change) + $12 (flat fee) = total money earned (or y). In this case, we have the total, amount, and are looking for x. Plug $139.50 into the equation.

$8.50x + $12 = $139.50

Now, solve for x.

$8.50x + $12-12 = $139.50-12 > $8.50x = $127.5

$8.50/8.50x = $127.5/8.50 > x = 15

So, the correct answer is D. Olivia babysat for 15 hours.

7 0

3 years ago

Does point 16.75.335 make sense in this context

puteri [66]

Yes it dose make sense that was a good question

8 0

3 years ago

2. Solve x - 19 < 81

vovikov84 [41]

The answer would be X =90

5 0

3 years ago

Read 2 more answers

Will has 24 t-shirts; 1/4 are yellow and 1/3 are white. How many t-shirts are not white neither yellow

N76 [4]

Answer:

The answer would come to be 10 shirts are not white nor yellow, but six are yellow and eight are white,

Step-by-step explanation:

6 0

3 years ago