Given the diagram below, solve for the value of x.

Given The Diagram Below, Solve For The Value Of X.

Answers

Answer 1
Answer:    x = 53

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

Explanation:

Sides ED and FD are the same length due to the red tickmarks.

The angles opposite these side lengths, angle E and angle F, are congruent as well. So angle F is also x.

For any triangle, the three angles always add to 180

F+E+D = 180

x+x+74 = 180

2x+74 = 180

2x+74-74 = 180-74 .... subtract 74 from both sides

2x = 106

2x/2 = 106/2 ... divide both sides by 2

x = 53

As a check,

F+E+D = x+x+74 = 53+53+74 = 180

which verifies the answer.


Related Questions

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.

Answers

Answer:

L=25.25 in

W= 6.75in

Step-by-step explanation:

Step one

Given data

Let the width be x

W= x

and length

L= 3x+5

Perimeter= 64 in

Step two:

we want to find the dimension of the rectangle

We know that perimeter is

P= 2W+2L

64= 2*x+2*(3x+5)

64= 2x+6x+10

collect like terms

64-10=8x

54= 8x

divide both sides by 8

x= 54/8

x= 6.75in

We know that the length is

L= 3x+5

L= 3*6.75+5

L= 20.25+5

L=25.25 in

The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.

Answers

Answer:

Mean=X=12

SD=3

W=7+2X

Mean(W)=7+2Mean(X)

Mean(W)=7+2(12)

=7+24=31

SD(W)=2SD(X)

SD(W)=2(3)=6

Ans: D

–4x-2y=-2
x-2y=9
what do you get if you subtract the second from the first

Answers

Answer:

-4×-2y=2

-4×+8y=-8

6y=6

y=1 then you the value of y and to put in any one equestion

Spider monkey the tail is. 60% of the length shown. What is the length of its tail

Answers

Answer:

male monkeys tail can have 1 to 1.5 feet or 31 to 45 cm

female monkeys tail can have 2.1 to 2.5 feets or 64 to 75 cm

Is this correct? Checking if a point is in a line

Answers

Answer:

this is correct

Step-by-step explanation:

Step-by-step explanation:

not true but the number is wrong tho I got 14=-2

hope it help

herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she has of each kind.

Answers

Answer:

Herlene has 8 dimes and 17 quarters

Step-by-step explanation:

System of Equations

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

Help pls explain and how you got it

Answers

Step-by-step explanation:

just minus 100 out of the percentage

for example 20% is 100 - 20 = 80

80% is 120 - 40 is half of 80 so multiply by 2 and you get 120
40% is 60 - given
20% is 30 - 20 is half of forty so half of 60 is 30
10% is 15 - half of 20 is 10 so half of 30 is 15
Not sure about the rest

(-30i) +(52-30i) express your answer in the form (a+bi)

Answers

Step-by-step explanation:

-30i + 52 - 30i

= 52 - 60i.

Here a is 52 and b is -60.

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

Dan is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dan wants to get 83 balloons, how many yards of string will he need?

Answers

Answer:

I would think its 249 because 9 divided 3= 3 because 3 feet is 1 yard and then you do 83x3 and then you get 249.

Step-by-step explanation:

Will give Brainliest! A rectangle on the coordinate plane has vertices at (0, 0), (4, 0), (4, 2) and (0, 2). A dilation of the rectangle has vertices at (0, 0), (2, 0), (2, 1) and (0, 1). Find the scale factor.

Answers

Answer:  Sample. Points. A(2, 1). B(1, 3). C(3, 2). Segments ... and angle measures of the image of △ABC after a dilation with a scale factor of k? Dilating Lines ... Graph quadrilateral KLMN with vertices K(−3, 6), L(0, 6), M(3, 3), and N(−3, −3) ... Find the perimeter and area of the rectangle. b.

Step-by-step explanation:

Pls help easy points

Answers

are you just looking for the green space or more

Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99

Step-by-step explanation:

To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.

Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6

Answers

Answer:

Slope: -1, y-intercept: 2.

Step-by-step explanation:

3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.

Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain

Answers

f(4-x)=12
Domain:(-oo,oo) these are infinity symbols by the way.

Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2(-4x-1)-x+3=−30  equation/Question

step 2

-2(-4x-1)-x+3=−30  distribute

7x+5=-30

step 3

7x+5=-30  subtract 5

7x=-35

step 4

[tex]\frac{7x}{7} =\frac{-35}{7}[/tex]  divide

answer

x=-5

Answer:

-2(-4x-1)-x+3=-30

8x+2-x+3=-30

7x+5=-30

7x=-30-5

7x=-35

x=-35÷7

x=-5

On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.

Answers

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

What percentage of the shape is orange?
Write your answer using a percent sign (%).
(help!) almost done!! I will mark who ever awnser s first as brainliest!

Answers

Answer:

40%

Step-by-step explanation:

There are five pieces of a square.  Two of the five pieces are shaded in orange, since each piece is 20% and there are two shaded pieces, it is your best bet that your final answer is 40%.

Answer:

40%

Step-by-step explanation:

Since there are only two boxes filled, the fraction would be 2/5. Now, by applying that knowledge, you can see that the bow is filled 40% of the way with orange. An easy way to figue this out would be to divide 2 by 5 and get the decimal of .4 which as a percentage would be 40%. Hope this helped!

what does 72 x ? = 300

Answers

Answer: 25/6

Step-by-step explanation:

Answer:

? = 4.1667

Step-by-step explanation:

300/72 = 4.1667

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

what is 4 1/2-3 5/6 from page 393 GO Math book

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer because it is.

It is 1/6
This is the answer because

Substitute x=5 into the expression 4x-8 and simplify

Answers

Answer:

4(5) - 8

20 - 8

= 12

There are 7 cars in an amusement park ride. There are 42 people divided equally among the 7 cars. An equal number of people ride in each car. How many people ride in one car?

Answers

6 people ride in each car

Explanation:
42 divided by 7 is 6. This means 42 people divided amongst 7 cars.

Answer:

there will be 6 people per cart

Step-by-step explanation:

if u divide 42 the number of people by the number of carts u get 6 so 6 people per cart and

Can zeros be written at the end of a decimal without changing the number that it represents?

Answers

Answer: yes, zeroes are simply just a place holder to make the number easier to read

Step-by-step explanation:

Yes they can. Zeros can be written at the end of a decimal. They work as a place holder.
Example:
0.4 is the same as 0.40

I need help with this math question

Answers

answer:

i think it’s 60%

explanation:

117/195=?/100

i multiplied 117 by 100 and got 11,700. Then, I divided 11,700 by 195 and got 60.

hoped this helped.

This should be easy

Answers

Answer:

69

Step-by-step explanation:

it's the holy number jesus christ can confirm

Answer:4

Step-by-step explanation:

The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? help plsss

Answers

Answer:

mmhhhhh Im an idiot that does not know how to answer questions just like you.

Step-by-step explanation:

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

The side opposite from the right angle is called

Answers

Answer:

The side opposite from the right angle is called the hypotenuse.

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.

PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?

Answers

Answer:

x the (x) value of the ordered pair, it is proportional.

Step-by-step explanation:

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