Parallelogram A B C D is shown. The length of A B is (9 x minus 14) inches and the length of D C is (3 x + 4) inches. In parallelogram ABCD, what is DC? 3 in. 9 in. 13 in. 19 in.

Answers

Answer 1

Given:

In a parallelogram ABCD, AB=(9x-14) inches and DC=(3x+4) inches.

To find:

The measure of DC.

Solution:

We know that opposite sides of a parallelogram are equal.

In the parallelogram ABCD, AB and DC are opposite sides. So,

[tex]AB=DC[/tex]

[tex]9x-14=3x+4[/tex]

[tex]9x-3x=14+4[/tex]

[tex]6x=18[/tex]

Divide both sides by 6.

[tex]x=\dfrac{18}{6}[/tex]

[tex]x=3[/tex]

Now,

[tex]DC=3x+4[/tex] inches

[tex]DC=3(3)+4[/tex] inches

[tex]DC=9+4[/tex] inches

[tex]DC=13[/tex] inches

The measure of DC is 13 in.

Therefore, the correct option is C.

Answer 2

Answer:

13in

Step-by-step explanation:


Related Questions

Sam solved the equation 6x - 8 = 16 below. Find her error and solve it correctly.

Answers

If (6*1.33) - 8 equals anything, it's -0.02

If you want your answer to be 16, X must equal 4

HELP ME PLEASEEEEE PLEASEEEEE

Answers

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other is 242424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

[tex]4x-y=24[/tex]            (iii)

Add (i) and (iii), we get

[tex]5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9[/tex]

Put value of x in (i), we get

[tex]9+y=21\Rightarrow y=12[/tex]

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Answer:

Each fir tree is  9  meters tall and each pine tree is  12  meters tall.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Por que necesitamos los modelos Matemáticos

Answers

Answer:

TRANSALATE!!!!

Step-by-step explanation:

Answer:

Para qué sirve un modelo matemático? Los modelos matemáticos son utilizados para analizar la relación entre dos o más variables. Pueden ser utilizados para entender fenómenos naturales, sociales, físicos, etc.

Step-by-step explanation:

3 3/5 x (-8 1/3) iready please help

Answers

Answer: -30

Step-by-step explanation:

I just plugged it into a calculator hehe.

a number x divided by 2​

Answers

Answer:

x/2

Step-by-step explanation:

The hotel has 450 rooms. ONE
HALF of the rooms are filled. How
many rooms are still available?

Answers

Answer:

225

Step-by-step explanation:

450 ÷ 2 = 225

Answer:

225 rooms

Step-by-step explanation:

Find 1/2 or 50% of 450. 50% of 450 is 225. So 225 rooms are full, and 225 are empty.

HELP PLEASE!! I NEED ANSWER SOON!!!!!

Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.

Answers

Answer:

A. is correct

Step-by-step explanation:

sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to

√3·√3·√4.

Note that √4 = 2 and that (√3)^2 = 3,

so the final result is 2*3, or 6 (a rational number).

A. is correct:  √3 and √12 are both irrational, but their product is rational.

Find the length of the diameter if the radius is given. Find the length of the radius if the diameter is given.

Answers

Answer:

All you have to do is find the diameter and divide it by 2. I'm sorry if I can't give you a direct answer because I cannot see the diagram.

Step-by-step explanation:

Answer:

7=2.75

8=18

9=3.625

10=29

Step-by-step explanation:

please help dont know how to solve

Answers

Answer:

35cm

98°

Step-by-step explanation:

4x+3=6x-13

4x+16=6x

16=2x

8= x

4x+3 = 8*4+3 = 35

9y+17=11y-1

9y+18=11y

18=2y

9=y

9y+17 = 9*9+17= 98°

Two siblings ' ages have a sum of 64 years . The older sibling was born 6 years before their young sibling . Write a system of 2 equations . Solve the system using substitution . Report your answer in the form of ( older , younger ).

Answers

Answer:

younger sibling = 29 years

older sibling = 35 years

Step-by-step explanation:

Let

x = younger sibling

y = older sibling

x + y = 64 (1)

The older sibling was born 6 years before their young sibling

x = y - 6 (2)

Substitute x = y - 6 into (1)

x + y = 64

y - 6 + y = 64

2y = 64 + 6

2y = 70

y = 70/2

y = 35 years

Substitute y = 35 into (2)

x = y - 6

x = 35 - 6

x = 29 years

if are is 24cm² find the x ​

Answers

Answer:

[tex]x = 6[/tex]

Explanation:

Given:

[tex]Area = 24cm^2[/tex]

See attachment for shape

Required

Find x

The attached shape is a rectangle.

So:

[tex]x * 4 = 24[/tex]

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{24}{4}[/tex]

[tex]x = \frac{24}{4}[/tex]

[tex]x = 6[/tex]

Full in each box to make statement true

50 points

Answers

Answer:

Step-by-step explanation:

(-2x)⁴(-3⁻¹x¹y⁻²)³ = -(16x⁷)/(27y⁶)

You have a total of $24 in your bank
account. You owe your brother $8
and your sister $17. What is the
balance of your account?

Answers

Answer is 9 hope this helps :D

Answer:

-$1.00

Step-by-step explanation:

Subtract amount of money you owe

17 + 8 = 25

24 - 25 = -1

What is the x- coordinate of point X

Answers

Answer:

abscissa

I know because intoke the test and it had the same answer in it

Henry was thinking of a number. Henry doubles it, then adds 4 to get an answer of 43.5. What was the original number

Answers

Answer:

17.75

Step-by-step explanation:

43.5 divided by 2 is 21.75

21.75 minus 4 equals 17.75

You're basically just using reverse operations to get back to the original number.

How much more would Keri's monthly loan payment be if she got a 5% loan for 5 years?
$
more per month

Answers

Answer: $240

Keri's monthly loan payment is $240 per month.

Hope this helps (:

$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.

What is EMI?

equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.

Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -

P x R x (1+R)^N / [(1+R)^N-1] where-

P = Principal loan amount.

N = Loan tenure in months.

R = Monthly interest rate.

R = Annual Rate of interest/12/100.

Putting these values in above equation

EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]

EMI = 9436

Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%

Learn more about EMI here:

https://brainly.com/question/27587721

#SPJ2

A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes.

What expression represents the new position of the submarine in relation to sea level?

Answers

Answer:

We know it's at -1260 feet and descends 5 per minute

The expression of this would be: -1260 - 5x, where x would be the time in minutes, as from -1260 feets it descends 5 per min.

Then, if we need to calculate it when it passes 12 minutes, we can replace the x by 12, and get the distance it would be

-1260 -5*12 = -1320 feet

And the answer would be -1320 feets

Amanda and her group of friends spent a total of $35.50 on 7 hot dogs and 6 cheese burgers. Greg and his group of friends spent $30.50 at the same snack bar on 5 hot dogs
and 6 cheese burgers.
For your answer WRITE THE EQUATIONS and state how much hot dogs cost and cheese burgers cost.

Answers

7h + 6b = 35.50
5h + 6b = 30.50

The difference between the 2 totals spent is $5, and there were the same number of burgers, but 2 fewer hotdogs. So $5/2 = $2.50, the cost of a hot dog. Substitute that into the equations to solve for burgers (b)

5(2.50) + 6b = 30.50
12.50 + 6b = 30.50
6b = 18
b = 3

Check the work:
7(2.50) + 6(3) =
17.50 + 18 = 35.50

What is the value of x?

Answers

all 3 angles of a triangle add up too 180, so 80+55= 135, 180-135 is 45, so the value of x is 45

Answer:

sum of angles in a triangle is 180

so 55+80+x=180

135+x=189

x=180-135

x=45

pls this is a simultaneous equation- one linear one quadratic a-2b =2 -------- (1). a²+b²+2a -3b =19 --------(2). pls I need it urgently thanks​

Answers

Answer:

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

Step-by-step explanation:

Given the equations

a-2b =2 -------- (1)

a²+b²+2a -3b =19 --------(2).

From 1;

a = 2 + 2b

Substitute into 2

(2+2b)²+b²+2a -3b =19

Expand

4 + 8b + 4b²+b²+2(2+2b)-3b = 19

4b²+b²+8b+4b+4+4-3b = 19

5b²+9b+8 = 19

5b²+9b-11 = 0

b = -9±√81+4(55)/2(5)

b= -9±√301/10

b = -9+17.34/10 and -9-17.34/10

b = 8.34/10 and -26.34/10

b = 0.834 and -2.634

Since a = 2+2b

a = 2+2(0.834)

a= 2 +1.668

a = 3.668

Also

a = 2+2(-2.634)

a = 2 - 5.628

a = -3.628

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

I don't what to do
Only 1-9

Answers

i hope i was correct with using one step equations and was early to help you :)
1. 7
2. -3
3. 8
4. 54
5. 80
6. -6
7. -5
8. 40
9. -90

The distance from Agnew Middle School to Baylor University is 180 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these schools? * 22 mi 113 mi 288 mi 175 mi

Answers

Answer:

113 miles

Step-by-step explanation:

Distance = 180 km

Number of km per mile = (8/5) = 1.6 miles

Number of miles between the schools:

Distance / Number of kilometers per mile

180km / 1.6

= 112.5 miles

= 113 miles

Distance between the schools is approximately 113 miles

quick question need the answer in 10 mins please

Answers

Answer:

b

the sqr root should go with the x and the intercept is at -2/3


Write the equation for the following graph:
Slope (m)
Y-intercept (b)=
Equation: y =
X +

Answers

Answer:

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2

y = - 3x - 2 ← equation of line

I’ve already done these but I wanna be sure I got the right answer!!

Answers

Answer: 1. 71.4

2. 40.10

Step-by-step explanation:

1. The radius is half of the diameter so just divide 142.8 by 2

2. Diameter is easy 20.5*2

Hope this helped :)

A certain brand of shampoo contains 12 ounces in a bottle. The company
decides to redesign the shape of the shampoo bottle. The new type of
bottle contains 15 ounces of shampoo. What is the percent of increase in
the amount of shampoo the new bottle contains?

Answers

Answer: 15% I think

Step-by-step explanation:

The percent of increase in the amount of shampoo the new bottle contains is 25%.

Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.

What is the percentage of increase?

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.

Percentage increase = (Final value - Initial value) / Initial value × 100

Now, initial value = 12 and final value = 15

Percentage increase = (15-12)/12 × 100

= 3/12 × 100

= 1/4 × 100

=25%

Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.

To learn more about the percentage increase visit:

https://brainly.com/question/10168902.

#SPJ2

A rectangular window is 3ft long and 2ft wide. Kala would like to buy a screen for the window. The cost of the screen is based on the number of square inches the screen is. Use the facts to find the area of the window in square inches.

Answers

Answer:

The cost of screen for window = 864.

Step-by-step explanation:

We have,

A rectangular window of length = 3ft and breadth 2 ft.

Fir solving,

As the answers should be in sqaure inches let us first convert ft in inches.Then, we will find the area of window and as the cost of screen is same as that of area,we will find it.

★Conversion from ft to inches:

We kow that,

1 foot = 12 inches

Taking this in mind, convert the values

= Length = 3 ft

= Length = 3 × 12

= Length = 36 inchees

= Breadth = 2ft

= Breadth = 2 × 12

= Breadth = 24 inches

Area of window:

We know that,

= Area of rectangle = Length × Breadth

= Area = 36 × 24

= Area = 864 inches²

As, area of window in square inches equal to cost of the screen.

Therfore, cost of screen would be 864.

__________________________

Can SOMBODY please help me with this?

Answers

The answer is 6 days.

36/6=6

Hope this helps! :))

HELP ME PLSSS :((PLSSSS

Answers

Answer:

40 degrees

Step-by-step explanation:

all angles add to 180* in a triangle

65+75=140

subtract from 180, you get 40 which is your answer

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