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

A customer asked Crazy Dave to split a pie into sixths. This is what he did: Explain why he is wrong and show a correct way to do it.

Answers

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

PLEASE HELP LOOOOOOOKKKKKKKK ATT SS

Answers

Answer:

1

Step-by-step explanation:

d=-4 , f = 3

so, [8-(-4)]/4 × 3

= (8+4)/12

= 12/12

=1

Hope it helps

Answer:

1 is the answer

Step-by-step explanation:

8-(-4) / 4(3) = 1

0.75 divided by 38.652

Answers

Answer:

0.019404

Step-by-step explanation:

0.75/38.652 is 0.019404.

Answer:

Divide  0.75  by  38.652  =

0.01940391

and

Divide  38.652  by  0.75 =

51.536

Step-by-step explanation:

(Look at attached imagine)

Answers

Answer:

C.  [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Step-by-step explanation:

Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.

Answers

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169

Based on the side lengths alone, could the triangles be similar? 16.0 cm R 6.4 cm 3.0 cm 15.0 cm S T 6.0 cm X 7.5 cm U
No, the side are not proportional.
Yes, the sides are in the ratio 2:5.
yes, the sides are in the ratio 4:5.
Yes, the sides are in the ratio 1:5.​

Answers

Answer:

Yes, the sides are in the ration 2:5!

Step-by-step explanation:

Hope this helps.

Answer:

  The correct answer is B. Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

Hope this helps, and have a wonderful day! :)

please help

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represents the function


Write an equation that represents the function. y =?

Answers

Answer:

       y = x² - 1

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

Quincy has box of cereal to eat over 6 days. If he splits the box into equal portions, how much will he eat each day?​

Answers

Answer:

1/6 of the cereal box

Step-by-step explanation:

help me plz! The one with the correct answer gets brainliest!
What is the number for the variable "x"? : ( x+29= −11)

Answers

Answer:

x=(-40)

Step-by-step explanation:

x+29= (-11)

x+29=(-11)

  -29=-29

x=(-40)

Answer:

x=-11+29

x=18

Step-by-step explanation:

Find the explicit formula for the given sequence.

-4, 12, -36, 108,...

a
a_n=-4·(-3)^{n-1}

b
a_n=4·3^{n-1}

c
a_n=15·3^{n-1}

d
a_n=5·3^{n-1}

Answers

Answer:

Option a.) an = -4(-3)^(n-1)

beslenmenin spor üzerindeki etgisi​

Answers

Answer:

enerji dengesi korunur. Dayanıklılık ve performans yüksektir.Sporda oluşan kas ağrıları minimizedir ve doğru beslenme ile egzersizde yaşanılan kas yıkımı

telafi edilebilir

What is the degree of X4 - 3x + 2?
A. 3
B. 4
O o O o
C. 5
D. 2
SUBMIT

Answers

Answer:

the degree of the equation is 1

25×2,06 5,2×7,6
4,002×35 45,07×5,1
103×2,12 3,02×0,25
12,5×11 7,52×6,002

Answers

Answer:

25×2,06 5,2×7,6

4,002×35 45,07×5,1

103×2,12 3,02×0,25

12,5×11 7,52×6,002

Step-by-step explanation:

;lfk;dlj

Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.

Answers

Area=9ROOT3 inches
Anyway wanna talk?!

CAN SOMEONE ANSWER PLEASEEEEEE I SUCK AT MATH

Answers

Answer:

area = 472 in^2

Step-by-step explanation:

19 x 8 x 3 = 456 in^2 for large rectangle

1/2 x 2 x 8 x 2 = 16 in^2 for triangles

area = 456 + 16 = 472 in^2

y = -3/4x - 2
y = 3/4x + 1
one solution
two solutions
no solution
O infinitely many solutions

Answers

Answer:

One Solution

Step-by-step explanation:

Trust me

Ć
9
e. m5 =
j. mZ11 =
P
12. If a || D, mZ2 = 63°, and m29 = 105°, find the measure of each missing angle.
a. mZ1 =
e. m26 =
a
i. mZ11 =
6
4
b. m.Z3 =
f. m27 =
j. mZ12 =
7
8
11
12
b
c. m 24 =
g. mZ8 =
10/9
1413
k. mZ13 =
d. m.25 =
d
h. mZ10 =
I. m Z14 =
For questions 13-15, find the values of x and y if I || m.
13.
(10x
17)

Answers

I am so confused RN what are u asking

PLZ HELP 10 POINTS FOR THIS QUESTION PLZ PLZ

Answers

Answer:

Tried my best..... Hope it helps! :)

A coin is flipped 10 times and lands on heads 8 times. What is the theoretical probability that the coin will land on tails on the next flip?

20%
80%
50%
100%

Answers

Answer:

pls mark brainlest Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails.

Mr.Jessup, an airplane pilot, flies 1,450 miles a day. How many miles will he fly in 8 days? Why?

Answers

Answer: Mr. Jessup will fly 11,600 miles in 8 days. This is because if he flies 1,450 miles a day, and he flies in 8 days, just multiply 1,450 and 8.

Step-by-step explanation:

MATTHEW WENT INTO THE STORE WITH $750.00. HE WANTS TO BUY NEW CLOTHES FOR THE FIRST WEEK
OF SCHOOL. EVERYTHING IN THE STORE IS ON SALE FOR 35%. HOW MUCH MONEY WILL HE HAVE LEFT?

Answers

Answer:

the money left is $487.50

Step-by-step explanation:

The computation of the money left is shown below:

= Total money - spent money

= $750 - $750 × 35%

= $750 - $262.50

= $487.50

Hence, the money left is $487.50

We simply deduct the spent money from the total money


An algebraic expression is given. Use the expression to answer the following questions,

a) How many terms are there in the algebraic expression?

b) What is the numerical coefficient of the first term?

c) What is the constant term?

d) Does the algebraic expression contain like terms? If so, what are the like terms?

X+ 3+ 7x
The

Answers

Answer:

A. 2

B.1

C.3

D. (should be x and 7x but that isnt an answer choice so) no

Step-by-step explanation:

For given expression x + 3 + 7x,

a) the number of terms in an algebraic expression = 2

b) the numerical coefficient of the first term = 1

c) the constant term = 3

d) the like terms are x and 7x

What is an algebraic expression?

"It is a mathematical expression that consists of variables, numbers and operations."

What is constant?

"It is a value or number that never changes in expression."

What are like terms?

"The like terms are defined as the terms that contain the same variable which is raised to the same power."

For given example,

We have been given an expression  x + 3 + 7x

a) x + 3 + 7x = 3 + (1 + 7)x

                    = 3 + 8x

So, the number of terms in the algebraic expression = 2

b) for given expression x + 3 + 7x,

the first term is x

x = (1) × (x)

the numerical coefficient of the first term is 1.

c) for given expression x + 3 + 7x,

the constant term = 3

d) for given expression x + 3 + 7x,

the like terms are x and 7x

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ2

solve for variable y answer in simplest radical form

Answers

Answer:

option A

Step-by-step explanation:

option A y = 9√3 is the correct answer .

In∆ PQR

cos 30 = y /18

√3/2 = y / 18

y = 9√ 3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x)

Answers

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

[tex]A = B[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

Factor out 4x

[tex]A: 4x(x - 1)(x^2 - 4)[/tex]

Apply difference of two squares on x^2 - 4

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]

For, Polynomial B: We have:

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Expand x^2 + x - 2

[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]

Factorize:

[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]

Factor out x + 2

[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]

Factor out 4x

[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]

Rearrange

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

The simplified expressions are:

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and  

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

Hence, both polynomials are equal

[tex]A = B[/tex]

Find the unknown side length of these similar triangles using scale factor. Show working out.

Answers

its the solution I hope it's right good luck

Explain, as clearly as you can, why 4/5 of 25 is 20.

Answers

⅘×25=20

of means times.

The area of a triangle A is given as A =1/2 bh, where b is the base an h = height. (a) find h if A =30 and b=10

Answers

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = [tex]\frac{1(10)h}{2}[/tex]

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = [tex]\frac{1(10)(6)}{2}[/tex]

A = 30 !

I need help please first answer will get brainliest

Answers

Answer:

Mean- 14.5

Median- 15.5

Interquartile Range- 7.5

Step-by-step explanation:

The mean is a type of average. It is the sum (total) of all the values in a set of data.

The median is the middle number in a sorted, ascending or descending, list of numbers.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

Tell me if this is right or wrong and if you can you fix it

Answers

right yes yes yes yes

Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

1.125+1 2/3-2 5/6×(-8/27)=​

Answers

3.63117283951
I think
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