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4 years ago

Which of the following best describes triangle TUV and triangle XYZ? Please help!

Mathematics

1 answer:

Vesna [10]4 years ago

7 0

Answer:

Option C. Triangle TUV is similar to triangle XYZ

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem, the corresponding angles between triangle TUV and triangle XYZ are congruent, but its corresponding sides are not congruent

therefore

The triangles are similar

The ratio of its corresponding sides must be proportional

Verify

$\frac{XY}{TU}=\frac{YZ}{UV}$

substitute the values

$\frac{6}{3}=\frac{6}{3V}$

$2=2$ ---> is ok

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Agata [3.3K]

Answer:

h(t) = 16t changes 16 units every t. in the interval t=7 to t=2,

if its asking for:

$\int\limits^2_7 {16t} \, dt$

then it's

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3 years ago

What is the measure of <5 <5=

CaHeK987 [17]

Answer:

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3 years ago

A company makes pens. They sell each pen for $99.

Sindrei [870]

Answer:

a) Profit = 84000

b) at break even number of pens sold = 46

Step-by-step explanation:

Profit = Selling price - Cost price

Total revenue generated = 99 * 1000

Total revenue generated = 99000

Total cost on making the pen = 11 * 1000

Total cost on making the pen = 11000

Total cost including the initial cost = 11000 + 4000

Total cost including the initial cost = 15000

Profit = 99000 - 15000

Profit = 84000

Break even is when the cost are equal to Revenue thus no profit or loss

Revenue = total cost (break even)

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9x - x = 4000

8x = 4000

x = 500

At breakeven Revenue = 9 * 500

At breakeven Revenue = 4500

since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)

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4 0

3 years ago

Quadratic 6X2 + 5X = -7

poizon [28]

Ok, so here your being asked to solve 6x2 + 5x = -7

The procedure that I did was using this formula it led me to get the following:
Using the formula:

x = -(-5) ± √(-5)² - 4(6)(-6)/ 2(6)
x = 5 ± √ 25 + 144 / 12
x = 5 ± √ 169 / 12
x = 5 ± 13/12

x1 = 5 + 13/12
x1 = 18/12
x1 = 3/2

x2 = 5 - 13/12
x2 = -8/12
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Hope this helped :)

7 0

4 years ago

the area of a square poster is 30 in square. Find the length of one side of the poster to the nearest tenth of an inch

insens350 [35]

Answer:

x = 5.5 (nearest tenth)

Step-by-step explanation:

let x be the length of 1 side

given area of square poster is 30 in²

and

Area = (length of 1 side )²

hence

30 = x²

x = √30

x = 5.4772

x = 5.5 (nearest tenth)

6 0

3 years ago