Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28

3 0

3 years ago

Please Help!

JulijaS [17]

Answer: $8865=6000(1+\frac{5\times t}{100})$

Step-by-step explanation:

Given

Liam deposited $P=\$\ 6000$

Rate of interest is $R=5\ \%$

If the amount after t years is $A=\$\ 8865$

Simple interest is given by

$S.I.=\dfrac{P\times R\times t}{100}$

And amount is

$A=P+S.I.$

$A=P(1+\frac{R\times t}{100})$

Substituting values we get

$8865=6000(1+\frac{5\times t}{100})$

$1.4775=1+\frac{5\times t}{100}$

$0.4775\frac{5\times t}{100}$

$5t=47.75$

$t=\frac{47.75}{5}=9.55\ years$

8 0

3 years ago

Can u help me find the area

kirill115 [55]

Answer:

640 units squared

Step-by-step explanation:

The shape below is a trapezoid.

The formula for the area of a trapezoid is average of the bases times the height.

The bases are the parallel lines that make up 2 of the sides of the trapezoid.

The height is the line dotted line that creates right angles and is the distance between the two bases.

The bases are 24 and 40.

To find the average, we add them together and divide by 2

(24+40)/2=64/2=32

Now, we multiply 32 by the height, which is given as the length of 20.

32*20=640

the area of the trapezoid is 640 units squared

Hope this helps!

6 0

3 years ago