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Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

Answer:

measure of <DFH=56

Step-by-step explanation:

The two triangles are similar, so their angles are the same, but their lengths are different.

If their angles are the same, then 98-6x=63-x.

98-6x=63-x (subtract: 98-63)

35-6x=-x (add 6x-x)

35=5x (divide by 5)

7=x (Then make sure you answer the question and put x in 63-x.)

63-(7)=56

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Movies at the rental store are $3.75 each. Snacks and drinks are $1.89 each. Round each amount to the nearest dollar to estimate

hodyreva [135]

Answer:

$14.00

Step-by-step explanation:

First you round 3.75 to 4.00 because 7 is greater than 5 so it would turn the 3 to 4 than add the zeros it's 4.00. Second You multiply by three so 4.00 × 3 you will get 12.00. Than you round 1.89 to 2.00 because 8 is greater than 5 so it would turn to the 1 to the 2 than add the zeros it's 2.00. Finally you add them together and get $14.00

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A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the

Charra [1.4K]

Answer:

option c

Step-by-step explanation:

Let the sides of the right angled triangle = x , (x +1) , (x +2)

Perimeter = 12 feet

x + x +1 + x + 2 = 12

x +x + x + 1+2 = 12

Combine like terms

3x+ 3 = 12

Subtract 3 from both sides

3x = 12- 3

3x = 9

Divide both sides by 3

x = 9/3

x = 3

x + 1 = 3 + 1 = 4

x + 2 = 3 + 2 = 5

The sides of the triangle are 3 , 4 ,5

The biggest side will be the hypotenuse.

So, hypotenuse = 5 ft. other legs are 3 and 4

$\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ$