Find the area of the figure.

Part A

Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]

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Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]

This points to choice D as the final answer.

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Part B

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Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

The answer is 60.61 when you divide 5576/92

Answer:

1. x=15

2. x=128

3. x=47

4. x=21

Answer: The answer is 464

Step-by-step explanation:

Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok

_ Mhart7109

Answer:

m∠1 + m∠2 = m∠3 + m∠2= you

np UwU

Answer:

True

Step-by-step explanation:

The slope both the steepness and the direction of the line

Answer:

Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)

Answer:

Step-by-step explanation:

The unknown angle.

Start by finding the third angle. Call it x.

x + 125 + 32 = 180

x + 157 = 180

x = 180 - 157

x = 23

Now you are set to use the law of sines.

Call ? = x

x/sin(32) = 7/sin(23)       Multiply both sides by Sin(32)

x = 7*sin(32)/sin(23)

x = 7*(0.5299) / sin(23)

x = 3.7094/ sin(23)

x = 3.7094 / 0.3097

x = 9.4935

Rounded to the nearest 10th

x = 9.5

Answer:

125

Step-by-step explanation:

Answer

Circle is filled in because it is greater than or EQUAL to. The arrow goes to the right because it is greater than -4

Answer:

I believe its B False

Answer:

A

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

Let the original fraction be

x/y

Then

x+3/y=3/4

and

x/y-7=1

Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides

x=y-7  

Substitute this into 1st fraction:

x-7+3/y=3/4  

Now we can solve this for y:  cross-multiply --> (Note: y-7+3 = y-4)

4(y-4)=3y

y=16

Sub this back into "x = y-7" to get x

x=16-7=9

Therefore the original fraction is:

9/16

Answer:

[tex]A= 5n-45[/tex]

Step-by-step explanation:

Can u gimme brain plz!

Answer:

4/16

is =

1/4

:)  Brainiest please

Answer:

1/4

Step-by-step explanation:

9514 1404 393

Answer:

  a) -13

  b) -22

Step-by-step explanation:

It can be convenient to compute the function values first:

  f(1) = 1² -14·1 = -13

  g(1) = 1 +8 = 9

Then the compositions are ...

(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4

(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22

Answer: x=15

Step-by-step explanation:

Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....

(7x-10)+ (6x-5)=180

Kay so now we can combine like terms.

13x-15=180

Now we can add 15 to both sides.

13x=195

Finally Divide 13 on both sides.

X would then now equal 15.

Answer:

f(-2)=(-11)

Step-by-step explanation:

f(-2)=5(-5)+14

=(-25)+14

=(-11)

Answer:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Step-by-step explanation:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Answer:

9 is the answer because it is the answerr

Answer:

using

h²=p²+b²

3is your answer

a²=5²-4²

a=√9=3

9514 1404 393

Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

Answer:

Step-by-step explanation:

If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:

5 bottles of water ... 7 practices

x bottles of water = ? ... 1 practice

5 * 1 = 7 * x

5 = 7 * x /7

x = 5/7 bottle of water

The correct result would be 5/7 bottle of water.

Answer:

900 miles

Step-by-step explanation:

In 7 days she travels 525 miles.

So, in 1 day she travels: 525 ÷ 7 = 75miles

In 12 days she will have driven : 75 × 12 = 900 miles

Step-by-step explanation:

of at 7days Jill drove 525 miles

then she would drive x Miles in 12 days

7d = 525 miles

12 d = (12 ×525)/7

900 miles

Answer:

25% of $1,000

Step-by-step explanation:

.15 * $1,500 =  $225

.25 * $1,000 = $250

Answer:

The answer is (2) 4

Step-by-step explanation:

Give brainliest

Answer: 1300 i think

Step-by-step explanation:

Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.

Answer:

Answer:

Triangle: 77

Parallelogram: 198

Total: 275

Step-by-step explanation:

The area of a triangle is one half the base times the height.

[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]

The area of a parallelogram is base times height.

[tex]A_{P}=bh=(22)(9)=198[/tex]

The total area is the sum.

77+198=275

Answer:

i got x= 16/165

Step-by-step explanation:

We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.

P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9