The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.

Answers

Answer 1

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

Answer 2

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

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Related Questions

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you!

Answers

Answer:

I hope this helps a little bit.

Identify the slope and y-intercept of the following equation:
3x - 2y = -10

Answers

Answer:

m=3/2,y-int=5

Step-by-step explanation:

y=mx+b is the slope equation. since -10 is at the end of the equation and it does not have a variable next to it yk it is the y-intercept. if you want you draw this on a graph and you can see that you go up 3 and over 2

8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no​

Answers

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

A frying pan has a radius of 14 cm. What is the circumference of the pan?

Answers

88cm

calculation:
circumference = 2 x pi x radius
2 x pi x 14 = 87.9cm
if you round this you get 88cm circumference

This is a similar triangle please find the missing length. (?)

Answers

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

Determine the value of x in each figure.
HELPPPPP PLEASEEEEE

Answers

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.

Answers

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38

Answers

Answer: 34

Hope this helps :)

I need help ASAP please

Answers

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above

Answers

Answer:

C Divide.

Explanation: I think it’s C because normally in tables you divide the numbers by what they are divisible by. If you end up with the same result for all of them then it’s proportionate. Like this one shown below. I hope this helps.

the weight of 65 books is 13 kg what is the weight of 80 Such books​

Answers

Divide 13 by 65 to get the mass of one book and then multiply that by 80

five less than three time a number is greater than two thrirds of that number

Answers

Answer:

3x - 5 > 2/3x

Step-by-step explanation:

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

Help! The screenshot is down below!!

Answers

Answer:

Step-by-step explanation:

A) Find the total minutes that Anna walked.To find the average number of minutes, divide the total minutes by total number of days

B) Average number of minutes =

[tex]\frac{15*9 + 30*5 + 40*7 + 45*3 + 50*6}{30}\\\\= \frac{135 + 150 + 280 + 135 + 300}{30}\\\\=\frac{1000}{30}\\\\= 33. 33[/tex]

what do you call the 9 in the statement 30% of 9 is 3

Answers

Answer: You call the 9 a base.

Step-by-step explanation: 3 is the percentage or part of the whole or base.

Answer:

9 is the base of the statement.

Step-by-step explanation:

Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.

What is the multiplier?

A. 0.123

B. 0.111

C. 9

D. 81​

Answers

Answer:

it is eather d or b

Step-by-step explanation:

(1.3x + 2.4) + (-6.1x – 3.2)

Answers

Step-by-step explanation:

In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8

or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.

How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?

Answers

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

What is the surface area of the right prism below?

Answers

350
Find the area of each shape then add all of the areas to get your surface area

20 Points!!!! PLEASE help!! Math!! Due soon!!

Answers

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.

Answers

Can u put that in English please?

If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?

Answers

Answer:

Check pdf

Step-by-step explanation:

If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks

Answers

just do 10 x 15
=150

Answer:

D 150 thats easy multiply or add

Which distribution is symmetrical (bell shaped)?
A)
B)
L
1
o
D)

Answers

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

30 divided by 12 pls hurry

Answers

Answer:

2.5 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

The answer is 2.5 hope this helps

Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.

A) 59 in

B) 29.5 in

C) 19.2 in

D) 554.3 in

Answers

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?

Answers

Answer:

The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.

Step-by-step explanation:

The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.

Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.

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