Given:
EFGH is a parallelogram.
Given : EFGH is a parallelogram
Find x and mG.
F
G
(x + 54)
E
(2x - 6)
H
X=?
m degrees

Given:EFGH Is A Parallelogram.Given : EFGH Is A Parallelogram Find X And MG.FG(x + 54)E(2x - 6)HX=?mdegrees

Answers

Answer 1

Answer:

x = 60

m∠G = 114 degrees

Step-by-step explanation:

In any parallelogram, every two opposite angles are equal in measures

In the given figure

EFGH is a parallelogram

∵ ∠E and ∠G are opposite angles

→ By using the rule above

m∠E = m∠G

∵ m∠E = (2x - 6)°

∵ m∠G = (x + 54)°

→ Equate them

2x - 6 = x + 54

→ Subtract x from both sides

∵ 2x - x - 6 = x - x + 54

∴ x - 6 = 54

→ Add 6 to both sides

∵ x - 6 + 6 = 54 + 6

x = 60

→ Substitute the value of x in the expression of ∠G to find it

∵ m∠G = 60 + 54

m∠G = 114 degrees


Related Questions

Which of the following statements is not true?
A. Consecutive angles of a rhombus are supplementary.
B. Diagonals of all parallelograms bisect each other.
C. Trapezoids have exactly one pair of parallel sides.
D. Opposite sides of trapezoids are equal.

Answers

Answer:

A (had to be 20 letters for me to send this :')

Step-by-step explanation:

Hello can someone PLEASE PLEASE help me with this question!!!

Answers

Answer:

(465-249) / 9 = Square Feet

Step-by-step explanation:

You do whatever is in the parenthases 1st

what is the range of the following numbers

12, 20, 18, 25, 6​

Answers

Answer:

The answer is 19

Step-by-step explanation:

Range is the difference between the largest and smallest number, so in this case the largest number is 25 and the smallest number is 6. Subtract 25 and 6 to get the range. So the answer would be, The range of the following numbers is 19.

What's 10 percent off of 10.35

Answers

Answer:

the answer is 9.315

The total cost, c, in dollars, of b bottles of water is c = 1.1b. What is the canstant of proportionality?​

Answers

Answer:

1.1

Step-by-step explanation:

Of 3,400 babies in a hospital, 1244 are boys and the rest are girls. What
percentage are girls?

Answers

9514 1404 393

Answer:

  63.4% are girls

Step-by-step explanation:

The percentage that is boys is ...

  1244/3400 × 100% = 36.6%

The remaining fraction is girls:

  100% -36.6% = 63.4% . . . girls

Suppose on an Icelandic sheep farm, there was a sheep pen next to a barn. If the length of the pen is 16 meters and the width is 9 meters, what is the area of the sheep pen?

Answers

Answer:

A = 144 m²

Step-by-step explanation:

Given that,

The length of the pen, l = 16 m

The breadth of the pen, b = 9 m

We need to find the area of the sheep pan. We know that the area of the rectangular shape is given by :

A = lb

Substituting all the values,

A = 16 m × 9 m

= 144 m²

So, the area of the sheep pen is 144 m².

Find the surface area of the prism.



The surface area is square feet.​

Answers

Answer:

10 X 5 = 50, 50 X 2 = 100

10 X 1 = 10 , 10 X 2 = 20

5 X 1 = 5 , 5 X 2 = 10

100 + 20 + 10 = 130 ft squared

a) x and y are two numbers taken from the list below.
5
6
7
8
9
10

(i) What values of x and y will make 3x - 2y equal zero?

(ii) Work out the greatest possible value of 3x - 2y.

(iii) Work out the least possible value of 3x – 2y.

b) Find the value of 5(a – 4b) when a = -7 and b = 1​

Answers

Answer:

a) i) The equation is satisfies of the values x = 6 and y=9

ii) The greatest possible value of 3x-2y is  20

iii) The least possible value of 3x – 2y is 2 and '0'

b)

The value of 5(a – 4b)  =  -55

Step-by-step explanation:

Given x and y are two numbers taken from the list below

5  6   7   8   9  10

i)

I will choose  x = 6 and y = 9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

The equation is satisfies of the values x = 6 and y=9

ii)  

we will choose x =10 and y = 5

3x - 2y = 3(10) - 2(5) = 30 -10 =20

The greatest possible value = 20

iii)

we will choose x =6 and y =8

3x - 2y = 3(6) -2(8) = 18-16 =2

we will choose x =6 and y =9

3x - 2y = 3 (6) - 2(9) = 18 - 18 = 0

b)

Given value of 5(a – 4b)

substitute  a = -7 and b = 1​

5(a – 4b) = 5(-7-4(1)) = 5 (-11) = -55

Visit this online dictionary and search for the definition of justice. Which part of speech is the word justice? Which definition best matches the definition given by the online dictionary?

Answers

Answer:

noun and fairness

Step-by-step explanation:

Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.

Justice is noun part of speech.

What do you mean by Speech?

Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.

Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.

Therefore, Justice means fair treatment and it is noun part of speech.

Learn more about Speech, here;

https://brainly.com/question/29586134

#SPJ2

The quotient of two algebraic expressions is a fractional expression, and the quotient of two polynomials is

Answers

Answer:

rational expression

Step-by-step explanation:

From the given information:

Since the quotient of two algebraic expressions seems to be a fractional expression,

Then the quotient of two polynomials;

For example:

[tex]\dfrac{1}{w}, \dfrac{2w-1}{w+1} \ or \ \dfrac{w^2-1}{w^2+1}[/tex]  is a rational expression.

Write the equation of the line that passes through the points (-8,3) and (3,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

(-8,3)-(3,-)6 is que 16%. YES

What is 9m^2 -1 in factored form ?

Answers

( 3 m ) 2 − 1 2 i need to make this 20 characters

A student is 7 years old. If you triple the teachers age and add the student's age the answer is 163. How old is the teacher?

Answers

Answer:

52

Step-by-step explanation:

We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

[tex]3x + 7 = 163[/tex]

We want to isolate the variable, so subtract 7 from both sides. This gives us:

[tex]3x = 156[/tex]

Finally, we divide both sides by  3, giving:

[tex]x=52[/tex]

So the teacher is 52 years old.

Hope this helps!

Answer: The teacher is 52.

Equation: 7+3t=163

if i make 25 dollars in 5 hours what would be the constant rate of change

Answers

Answer:

5 would be your answer.

Step-by-step explanation:

The answer is 5 because you have to divide 25 by 5, and you will get 5.

If I'm wrong, please let me know.

Hope this helps.

Have a great day! :)

Answer:

5

Step-by-step explanation:

This is right because you would divide 25 by 5 and you would get your answer. You make $5 every hour

Find the third side in simplest radical form

Answers

Answer:

30

Step-by-step explanation:

Y=? X=?

HELP ASAP PLEASE

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

I hope you meant slope of the line...

You can find the slope like this-

1/2x= how you move (so m for move)

-3 =where you begin (so b for begin)

So next time you find the slope, just ask yourself where you "begin" (where the line starts) and how you "move" (how the line moves)

If you help me I’ll give brainliest and 20 points

Answers

Answer:

I believe its 1, 2, and 4

Step-by-step explanation:

hope I helped I may be wrong tho

.................................................

c
84 mi
35 mi
What is the length of the hypotenuse?
C =
miles
HELP NOW

Answers

Answer:

91

Step-by-step explanation:

to find the hypotenuse you do a^2+b^2=C^2

84^2+35^2 = 8281

the square root of 8281 is 91

Helpppppppppo meeeee plsssss

Answers

Answer:

Step-by-step explanation:

[tex]38.7=[/tex] [tex]38.7 / 10^{2}[/tex]

[tex]38.7= 38.7 times 10^{3}[/tex]

[tex]38.7=38.7 times 10^{4}[/tex]

Hope this helps :)

Brainilest to who answers first

Write an
exponential function in the form y
and (2,300).
ab that goes through points (0,12)

Answers

Answer: The exponential function would be

Step-by-step explanation:

Since we have given that

We have points (0,15) and (2,24)

First we take when x= 0, y = 15.

So, our equation becomes,

and we take when x = 2 and y = 240

So, the exponential function would be

Answer these two easy questions i give out brainlest

Answers

Answer: 1) true 2) false

Quadrilateral ABCD is a parallelogram. Determine the measure of _A.
OA) 96°
B) 78°
C) 52°
OD) 39°

Answers

Answer:

The measure of angle A is: m∠A = 96

Therefore, option A is true.

Step-by-step explanation:

Given

m∠C = 3x

m∠D = x+52

We know that the opposite angles of a parallelogram are also equal.

Determining m∠A

It is clear that A is the opposite angle of C.

i.e.

m∠A = m∠C

as m∠C = 3x

so m∠A = 3x

Determining  m∠B

It is also clear that B is the opposite angle of D.

i.e.

m∠B = m∠D

as m∠D = x+52

so m∠B = x+52

We know that the sum of the angles of a parallelogram is 360°.

so

m∠A + m∠B + m∠C + m∠D = 360°

3x + (x+52) + 3x + (x+52) = 360°

Group like terms

[tex]3x+x+3x+x+52+52=360^{\circ \:}[/tex]

[tex]8x+104=360^{\circ \:}[/tex]

Subtract 104 on both sides

[tex]8x+104-104=360^{\circ \:}-104[/tex]

Simplify

[tex]8x=360^{\circ \:}-104[/tex]

[tex]8x=256[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{256}{8}[/tex]

Simplify

[tex]x=32[/tex]

Thus,

The measure of the angle A is:

m∠A = 3x

substitute x = 32

m∠A = 3(32)

m∠A = 96

Hence, the measure of angle A is: m∠A = 96

Therefore, option A is true.

An auditorium can seat as many as 1,200 people. The first row has 35 seats. Each of the other rows has 40 seats. What is the maximum(most) number of rows of 40 seats that can be set up in the auditorium?

Answers

Answer:

29 rows of 40

Step-by-step explanation:

1200-35=1165

1165/40=29.125

4a - 7 = 5
What is the answer 2 step equation

Answers

Answer:

A= 3

Step-by-step explanation:

4a - 7 = 5

move the constant to the right

4a= 5+7

divide

4a=12

Awnser:

A= 3

Kelly goes to the store and buys 9 boxes of cookies. The cost of each box is represented with the letter c. Which expression could you use to show how much money Kelly spent?

Answers

Answer:

9c because you don't know how much money Kelly actually spent so instead of doing 9 x the price of each box, you replace it with c, so it's 9c

Step-by-step explanation:

What makes two events independent?
A.
The outcome of one event is the same as the outcome of the other event.
B.
The outcome of one event is changed by the outcome of the other event.
C.
The outcome of one event occurs at a different time than the outcome of the other event.
D.
The outcome of one event is not changed by the outcome of the other event.

Answers

Answer:

I think these are the correct answers:

C.

The outcome of one event occurs at a different time than the outcome of the other event.

D.

The outcome of one event is not changed by the outcome of the other event.

the area of an isosceles triangle is 60 CM square and its base is 10 cm find the length of the equal sides​

Answers

Step-by-step explanation:

Area = (1/2) *b*h

60 =(1/2)*10h

120 =10h

h=120/10

h= 12 cm

From the figure,

AB=BC(since the given triangle isosceles).

AE is perpendicular to BC.

BE =EC = 5cm ( since is AE bisects BC)

AB= h=12cm (height of the isosceles triangle)

Applying Pythagoras theorem in triangle ABE,

AB² = BE²+ AE²

AB² = 5²+12²

AB² = 169

AB =√169

AB= 13 cm

Hence AB=BC =13cm

Length of equal sides =13cm

Max was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Max's cookies were left after the bake sale?

Answers

Answer: there are 8 cookies left

Step-by-step explanation:

Let's count how many cookies Max baked:

125% = 1.25

64 × 1.25 = 80

Let's count how many cookies were sold:

90% = 0.9

80 × 0.9 = 72

Leftover cookies:

80 - 72 = 8

19-23 and 26-29 please help
(Image attached)

Answers

Answer:

26.B

27.J

28.B

29. x=40, y=32

Step-by-step explanation:

Answer:

I think its

Step-by-step explanation:

b is 26 sos others dont know

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