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3 years ago

If EF = x + 5, DC = 2x + 4, and AB = 2x + 2. Find EF.

Mathematics

1 answer:

bonufazy [111]3 years ago

3 0

Answer:

B *second one down.

Step-by-step explanation:

EF = 1/2(AB + CD)

x+5 = 1/2 (2x + 2 + 2x+4) Combine the like terms on the right.

x+5 = 1/2 (4x + 6) Remove the brackets.

x+5 = 1/2*4x + 1/2*6

x+5 = 2x + 3 Subtract x from both sides

5 = 2x-x + 3

5 = x + 3 Subtract 3 from both sides

5-3 = x

x = 2

EF = x + 5

EF = 2 + 5

EF = 7

The answer is B

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$t_{n}$ =6n-2

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3 years ago

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large

anzhelika [568]

Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

Area of 4 bubbles = 4 × 25π cm²

Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

Area of large bubble = total area of small bubbles = 100π cm²

Radius (r) =?

A = πr²

100π = πr²

100 = r²

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r = √100

r = 10 cm

Thus, the radius of the large bubble is 10 cm

5 0

3 years ago

How many bars would the team need to purchase from

Anna007 [38]

The numbers of bars that the team have to get from each company in order for the total cost to be equal is 40.

<h3>What is the purchase about?</h3>

Since n = numbers of bars purchase.

y= total cost in dollars

Company A = 0.75n

Company B = 10 + 0.50n

Therefore, to find the numbers of bars that the team would need to purchase from each company in order for the total cost to be equal =

0.75n = 10 + 0.50n

0.2n = 10

n = 40

Learn more about purchase from

brainly.com/question/5168855

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2 years ago

Determine the verticle asymptote and horizontal asymptote of x^2-25/2x^+13x+15?

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5 0

3 years ago

Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin

katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula $A=P(1+\frac{r}{n})^{nt}$

In this formula A = amount after time t

P = principal amount

r = rate of interest

n = number of times interest gets compounded in a year

t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year $A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}$

$= 15000(1+.06)^{1}$

$= 15000(1.06)$ = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

$A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}$

$= 20900(1+.06)^{1}$

$= 20900(1.06)=22154$

So the final amount will be $22154.

3 0

3 years ago

If EF = x + 5, DC = 2x + 4, and AB = 2x + 2. Find EF.​

If EF = x + 5, DC = 2x + 4, and AB = 2x + 2. Find EF.