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3 years ago

In the figure shown DE = 7x-13 and DF =3x+3 what is the length of DF?

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Answer:

The length of DF is 15

Step-by-step explanation:

Since the two lines are equal, which is given by the markings on the triangle, then you can set the two lengths equal and find x.

7x - 13 = 3x + 3

4x - 13 = 3

4x = 16

x = 4

Now that we know x = 4, we can plug into the DF length to find its amount.

DF = 7x - 13

DF = 7(4) - 13

DF = 28 - 13

DF = 15

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Find the simple interest on a $340 loan at a 15% annual interest rate for 1 year

Crank

Answer:

$51.

Step-by-step explanation:

Interest I = PRT/100 where P = amount of the loan , R = rate and T = the times in years.

I = 340 * 15 * 1 / 100

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andreev551 [17]

Division of two quantities is expressed as the quotient of those two quantities.

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3 years ago

An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in a case. If each box o

I am Lyosha [343]

The wooden pencils weigh 10 pounds all together.

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Find the center and radius of the circle (x+3)^2+(y-1)^2=81

sasho [114]

The equation of a circle is written as ( x-h)^2 + (y-k)^2 = r^2

h and k is the center point of the circle and r is the radius.

In the given equation (x+3)^2 + (y-1)^2 = 81

h = -3

k = 1

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r = 9

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3 years ago

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the

Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

= x ( x-3)

Given that the area of the rectangle = 70 square feet

x ( x-3) = 70

⇒ x² - 3x - 70 =0

⇒ x² - 10 x + 7 x - 70 =0

⇒ x (x -10) +7( x-10) =0

⇒ ( x+7) ( x-10) = 0

⇒ x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

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2 years ago