Given that ABCD is a parallelogram. Find the following

Given That ABCD Is A Parallelogram. Find The Following

Answers

Answer 1

Answer:

m=8

m<A=83

m<D=97

Step-by-step explanation:

Angles that are opposite of each other in a parallelogram are equal. Knowing this, we can first conclude that angle A and angle C are equal. We can set up the following equation:

[tex]9m+11=8m+19[/tex]

Subtract both sides by 11

[tex]9m+11-11=8m+19-11\\9m=8m+8[/tex]

Subtract both sides by 8m

[tex]9m-8m=8m+8-8m\\m=8[/tex]

To calculate angle A, plug the value of m into its expression.

[tex]<A=9m+11\\<A=9(8)+11\\<A=72+11\\<A=83[/tex]

In a parallelogram, angles that share a side are supplementary, meaning they add up to 180 degrees. Therefore, angle A and angle D are supplementary. Knowing this, we can set up the following equation:

[tex]180=83+D[/tex]

Subtract both sides by 83

[tex]180-83=83+D-83\\97=D[/tex]

I hope this helps!


Related Questions

Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?

Answers

Answer:

40 minutes

Step-by-step explanation:

 Math Problems                   3              15

 ----------------------                  -----     =    ------

       Minutes                          8              x

                                             3x = 15 * 8

                                               x = 15 * 8 / 3

                                               x = 120 / 3

                                               x = 40

                                                  40 Minutes

An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?

Answers

Answer:

719 kilometers

Step-by-step explanation:

6,471/9 = 719

that's the unit rate

Answer:

719

Step-by-step explanation:

6,471/9=719

719*9=6,471

which means the correct answer is 719

YW!!

HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.

Answers

Answer:

About 1,130.4 Cubic Feet

(My previous answer was a mistake. It has now been corrected)

Step-by-step explanation:

The Volume of a cylinder = Height * Pi * Radius^2

The radius is half the diameter, so 12 ÷ 2 = 6

Pi rounded to the hundredth place is 3.14.

Volume = 10 * 3.14 * 6^2 = 1,130.4

Therefore the Volume is about 1,130.4 cubic feet.

Answer:

Exact Volume = 360pi  cubic feet

Approximate Volume = 1130.4  cubic feet

The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.

===========================================================

Explanation:

The volume of a cylinder is found by the formula

V = pi*r^2*h

where,

pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ft

So,

V = pi*r^2*h

V = pi*6^2*10

V = pi*36*10

V = pi*360

V = 360pi  ........... exact volume in terms of pi

V = 360*3.14

V = 1130.4 ......... approximate volume if you use pi = 3.14

The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).

Help - I’m failing math and I might get held back so please just help

Answers

Answer:

[tex] \frac{y}{34} [/tex]

Step-by-step explanation:

Cosine is the adjacent side of the triangle divided by the hypotenuse.

The numerator is going to be the side adjacent to the angle 53

So the top number is y.

The hypotenuse is the side opposite of the right angle. So the bottom number is 34

sorry but the last answer is a bit glitched out

Answers

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

I need help ASAP THIS IT TIMED!!

Answers

Answer:

yeah its probably done well

Step-by-step explanation:

Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?


units

sin(D) =

Answers

Answer:

5 and 5/13

Step-by-step explanation:

What is the length of the side opposite ∠D?

✔ 5

units

sin(D) =

✔ 5/13

que es una expresión algebraica​

Answers

Answer:

En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).

Step-by-step explanation:

hellppp fast plzzzzzz​

Answers

i cant see it that much

Answer:

49? I think

Step-by-step explanation:

factor the expression below
x^2-49​

Answers

Answer:

(x+7)(x-7)

Mark my answer as Brainlist.

13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.

Answers

Answer:

ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm

Step-by-step explanation:

good day

Find the unknown side length x. Write your answer in simplest radical form

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

What is the volume of this rectangular prism?

1/4 cm,
1/2 cm,
1/3 cm

Reduce the fraction to its simplest terms.

Answers

What rectangular prims, what do you mean?!?

Jan wants a bunch of balloons for her birthday party. There were 10 red, 12 blue, 13 green and 15 yellow balloons. What percentage is the blue balloons ?

Answers

Answer:

Should be 24%

Step-by-step explanation:

12/50= .24

At Garcia's Bike Rentals, it costs $45 to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar?

Answers

Answer:

5

Step-by-step explanation:

Answer:

$0.09/minute

Step-by-step explanation:

$45/8 hours is $5.63 per hour

There is 60 minutes in an hour.

So you do $5.63/60 minutes and it's about $0.09

So it's 9 cents per minute

hope this helps :)

MATH PROBLEM SPLVE ASAP PLS​

Answers

9514 1404 393

Answer:

  (B)  stretch & reflection

Step-by-step explanation:

The original function is multiplied by -1.7. This has a negative sign, so will cause the graph to be reflected across the x-axis. The magnitude is greater than 1, so the reflected function will be a stretch of the original.

A bag contains 4 red, 3 green, and 2 yellow marbles. One marble is randomly chosen What is the probability that the marble picked is red?​

Answers

Answer:

4/9 is the answer.

Answer:

there is more red marbles then the others

Step-by-step explanation:

What is the scientific notation for .000472

Answers

Answer:

The scientific notation for 0.000472 is 4.72 * [tex]10^{-4}[/tex].

The peak at transfer camera is 10 8.7 he travels 7.5 metre in car and took a break how much more he has to travel to reach the top of the mountain

Answers

The question is not well formatted

Let's assume that the peak value Given is 108.7m

However, If that is not the actual value, then you can just follow the steps with the actual value to obtain your answer.

Answer:

101.2 meters

Step-by-step explanation:

Taking the peak Given as 108.7 m

The distance traveled by car = 7. 5 meters

The distance left to reach the top of the mountain :

108.7 meters - 7.5 meters

= 101.2 meters

E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V​

Answers

Answer:

V = 14 m/s

Step-by-step explanation:

[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]

You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost

Answers

Answer:

41.67 dollars

Step-by-step explanation:

because 250/6= 41.6666666667

that rounded is 41.67 dollars

41.67
Explaining: i used a calculator


help find value of y please

Answers

Answer:

The third option

Step-by-step explanation:

60+y=180

y=120

Answer:

y = 120

Step-by-step explanation:

Which equation is true?

Answers

Answer:

i think its the 3rd option

If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?

Answers

Answer:

141.5 in

Step-by-step explanation:

sin 58 = m/p = 120/p

120 = psin58

120/sin 58 = p

p = 141.5 in.

Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side.  Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p

if its possible, whats -12/3 simplifies

Answers

Answer:

-4

Step-by-step explanation:

A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.

Answers

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

What are the intercepts of the graphed function?


x-intercept = (0, –1) y-intercept = (0, –3)

x-intercept = (0, –1) y-intercept = (–3, 0)

x-intercept = (–1, 0) y-intercept = (0, –3)

x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!

Answers

Answer:

The first option.

Step-by-step explanation:

Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3

Answers

Step-by-step explanation:

4/7÷21/3

=4/7*3/21

=12/147

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex] ← change mixed number to improper fraction

= [tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]

To perform the division

Leave the first fraction. change division to multiplication and turn the second fraction upside down.

= [tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] ← multiply numerators/ denominators together

= [tex]\frac{4(3)}{7(7)}[/tex]

= [tex]\frac{12}{49}[/tex]

banda ayudenme con este punto de una tarea es sobre la sustracción de números enteros
19 - ( - 12 )
- 6 - ( - 27 )
( -18 ) - 4
( - 82 ) - 9
18 - ( - 2 )
( - 12 ) - ( - 11 )

LA RESPUESTA YA LA SE LO Q NECESITO ES EL PROCEDIMIENTO!! gracias :3​

Answers

Answer:

Step-by-step explanation:

19-(-12)=19+12=31

-6-(-27)=-6+27=21

(-18)-4=-18-4=-22

(-82)-9=-82-9=-91

18-(-2)=18+2=20

(-12)-(-11)=-12+11=-1

The last one is the answer i think

What is m/3= -1.5 what is m???

Answers

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

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