find the value of x and give reasoning in the following image

Find The Value Of X And Give Reasoning In The Following Image

Answers

Answer 1

Answer: 80

Step-by-step explanation:

Angle FGB = 80 degrees b/c supplementary angles.

By the sum of interior angles of a quadrilateral, angle FEB = 360 - 75 - 95 - 90 = 100 degrees.

x is supplementary with this angle and is this 180 - 100 = 80.


Related Questions

What is 9 ounces equal to in pounds?

Answers

about 0.562 lbs. which means that it’s not even 1 pound yet because 16 ounces equal 1 pound
(i hope this helps!)
9/16 pounds or 0.5625 pounds

9 / 16 = 0.5625

2. Julia purchases a rectangular plot of land with a perimeter of 90 yards. She knows that the length
of the field is twice the width. Find the dimensions (the length and width) of the field.

Answers

Answer:

sorry I don't know.

Step-by-step explanation:

I don't know but I k ow how you feel

Answer:

The length is 30 and the width is 15

Step-by-step explanation:

i dont really know how i got this. T.T sorry i did it in my head but my answer has ro be right hope this helps

1)Find the quadratic equation
3(3x [tex] {}^{2} [/tex]+ 1)=12x​
2)Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex] ​

Answers

Step-by-step explanation:

See picture above for solution.

50 PTS!! WILL MARK BRAINLY


Explain why the equation (x-4)^2-28=8 has two solutions. 50 pt

heres what to fill out:
There are 2 solutions because the square root of any ______ number will give us both a ____ and _____ number as a solution .

fill in the blanks

Answers

Answer:

There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution .

Answer:

There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution.

Step-by-step explanation:

[tex](x-4)^2-28=8[/tex]

Add 28 to both sides:

[tex]\implies (x-4)^2=36[/tex]

Square root both sides:

[tex]\implies x-4=\pm 6[/tex]

[tex]\implies x=10, x=-2[/tex]

Find the volume of a sphere with a diameter of 10 yards

Answers

Answer:

Step-by-step explanation:

diameter = 2 * radius           Divide by 2

radius = diameter /2

Formula

Volume_sphere = 4/3  pi r^3

Givens

r = 10 yards

Solution

Volume = 4/3 * 3.14 * 10^3

Volume = 4.1867*10^3

Volume = 4186.7 yards^3

What is the total price of an $18.97 item plus 8% slaes tax?

Answers

Answer:

$20.49

Step-by-step explanation:

8% = 8/100 = 0.08

Therefore, 8% of 18.97 = 0.08 x 18.97 = 1.5176

So the total price = 18.97 + 1.5176 = 20.4878 = $20.49

Alternatively,

108% = 108/100 = 1.08

18.97 x 1.08 = 20.4878

What is the simplest form of the radical expression?
V2+V5
V2-15

Answers

Sorry,

Neither of these are radical expressions.

Traits of a radical expression:

The radicand is positive. The radical index is as small as possible.The exponent of each factor of the radicand is a natural number less than the radical index.There are no fractions in the radicand.There are no radicals in the denominator of a fraction.

Brainliest if correct

Answers

Answer:

w = 9

Step-by-step explanation:

18 + 4w = 6w

6w - 4w = 2w

2w = 18

18/2 = 9

2w/2 = w

w = 9

[tex]\large\textbf{Hey there!}[/tex]

[tex]\large\textbf{18 + 4w = 6w}\\\large\textbf{4w + 18 = 6w}\\\large\text{SUBTRACT 62to BOTH SIDES}\\\large\textbf{4w + 18 - 6w = 6w - 6w}\\\large\text{SIMPLIFY IT!}\\\large\textbf{-2w + 18 = 0}\\\large\text{SUBTRACT 18 to BOTH SIDES}\\\large\textbf{-2w + 18 - 18 = 0 - 18}\\\large\text{CANCEL out: 18 - 18 because it give you 0}\\\large\text{KEEP: 0 - 18 because it help solve for the w-value}\\\large\text{NEW EQUATION: \bf -2w = 0 - 18}\\\large\text{SIMPLIFY IT!}\\\large\textbf{-2w = -18}[/tex]

[tex]\large\text{DIVIDE -2 to BOTH SIDES}\\\mathbf{\dfrac{2w}{-2}= \dfrac{-18}{-2}}\\\large\text{CANCEL out:} \rm\dfrac{-2}{-2}}\large\text{ because it give you 1}\\\large\text{KEEP: }\rm{\dfrac{-18}{-2}}\large\text{ because it gives you the w-value}\\\large\text{NEW EQUATION: \bf w = }\rm{\bf \dfrac{-18}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textbf{w = 9}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{w = 9}}}\huge\checkmark[/tex]

[tex]\large\textbf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Find the area of the composite figure.

Answers

Answer:

132 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.

Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry .

a. Make a list of all of the possible ice cream orders.

b. What is the probability that Mario will get something with apricot ice cream?

C. What is the probability that he will get a sundae?

d. What is the probability that he will get either something with chocolate or a waffle cone with blackberry?

e. What is the probability that he will get orange sherbet? ​

Answers

Answer:

a)

apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundae

b) 1/3

c) 1/2

d) 1/2

e) 0

Step-by-step explanation:

a) There are 2 different types of dessert and 3 different ice cream flavors.      

   Therefore, there are 6 possible ice cream orders:

apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundae

b) There are 2 different desserts with apricot ice cream.

⇒ P(apricot ice cream) = 2/6 = 1/3

c) There are 3 combinations of sundae.

⇒ P(sundae) = 3/6 = 1/2

d) P(chocolate) = 2/6 = 1/3

   P(blackberry waffle cone) = 1/6

⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2

e) P(orange sherbet) = 0

as orange sherbet was not an option!

Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.



690.8


224.5


364.8


960.8

Answers

Answer:

690.8

Step-by-step explanation:

I've done this one before

Answer:

690.8 sq units

Step-by-step explanation:

Surface Area(cyl) = 2πrh+2πr²

SA = 2(3.14)(5)(17) + 2(3.14)5²

SA = 6.28(85) + 25(6.28)

= 533.8 + 157

= 690.8

please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.​

Answers

Answer:

[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]

STEP BY STEP EXPLANATION

[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]

To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]

Answer:

[tex]4/9y^2[/tex]

Step-by-step explanation:

Given:

[tex](1/4)x^2-(2/3)xy[/tex]

Consider the identity:

[tex](a - b)^2=a^2-2ab+b^2[/tex]

We can see that:

[tex]a^2=(1/2x)^2[/tex][tex]a = (1/2)x[/tex][tex]2ab = (2/3)xy[/tex]

We can work out the value of b:

[tex]2ab = (2/3)xy = 2(1/2x)(2/3y)[/tex][tex]b=(2/3)y[/tex]

Then we are missing b², what needs to be added:

[tex]b^2=(2/3y)^2=4/9y^2[/tex]

Order the angle measures , , and from least to greatest.
(Note that the figure is not drawn to scale.)

Answers

Mark the theorem below

The angle which measures biggest the opposite side of that angle is biggest.

Here

8<10<12JH<IH<JI

Now

<I < <J < <H

Answer:

least to greatest: ∠I < ∠J < ∠H

Explanation:

angle I:

cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]

I = [tex]cos^{-1} (\frac{3}{4} )[/tex]

I = 41.41°

angle H:

cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]

H = [tex]cos^{-1} (\frac{1}{8} )[/tex]

H = 82.82°

angle J:

cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]

J = [tex]cos^{-1}(\frac{9}{16} )[/tex]

J = 55.77°

They sum up to 180°, so the steps are correct.

concept of pattern in mathematics.

Answers

Step-by-step explanation:

A pattern is a series or sequence that repeats.

Math pattern are sequences to calculate or

solve a problem.

One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?
The numbers are?

Answers

[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

The sum of two numbers is 25One number exceeds another by 5

[tex]\bold{\underline{ To \: Find :- }}[/tex]

We have to find the two numbers.

[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]

Let the number be x

Therefore,

Another number be x + 5

According to the question,

[tex]\sf{ x + ( x + 5 ) = 25}[/tex]

[tex]\sf{ x + x + 5 = 25}[/tex]

[tex]\sf{ 2x + 5 = 25}[/tex]

[tex]\sf{ 2x = 25 - 5}[/tex]

[tex]\sf{ 2x = 20 }[/tex]

[tex]\sf{ x = 20/2}[/tex]

[tex]\sf{ x = 10 }[/tex]

Thus, The first number is 10

Therefore,

Another number will be

[tex]\sf{ = x + 5 }[/tex]

[tex]\sf{ = 10 + 5 }[/tex]

[tex]\sf{ = 15 }[/tex]

[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]

When a number is decreased by 30 % of​ itself, the result is 14. What is the​ number?

Answers

Answer: 20

Step-by-step explanation:

We set up the equation.

Let the number = x

x-0.3*x = 14

0.7x = 14

x = 20

Which number line shows the solution to
11x + 14 < –8?

Answers

Answer:

D

Step-by-step explanation:

11x + 14 < -8

Cancel the addition by subtracting

11x + 14 - 14 < -8 - 14

11x < -22

11x / 11 < -22/11

x < -2

Therefore, the answer is D

select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!! ​

Answers

Answer:

  15/16

Step-by-step explanation:

For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.

Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.

The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__

Additional comment

The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.

As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.

OS
Question 2
A circle has a centre C (1,3)The end points of a diameter of the circle are A (-3,2k) and B (5,k)
Find the value of k, k

Answers

Answer:

k = 2

Step-by-step explanation:

We'll need the Midpoint Formula:  the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex].  In other words, average the x's, then average the y's.

The midpoint of a diameter is the centre of the circle!

The midpoint of the segment joining (-3, 2k) and (5, k) is

[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]

That last expression is the centre of the circle; it is the same as (1, 3).

[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]

David has 400 yards of fencing and wishes to enclose a rectangular area against a pre-existing fence. What is the maximum area that David can have?

A. 5000 yd^2
B. 10000 yd^2
C. 15000 yd^2
D. 20000 yd^2


Answer: D

Answers

The maximum area that David can have is  10,000 yd^2

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = lw

l is the lengthw is the width

If David has 400 yards of fencing, then;

P = 2(l +w)

400 = 2( l+ w)

200 = l + w

l = 200 - w

Substitute into the area

A = (200-w)w

A = 200w - w^2

If the area is maximized, then;

dA/dw = 0
dA/dw = 200 - 2w

2w =200

w =  100 yards

Recall that;

200 = l + w

l = 200 - 100

l = 100

The maximum area = 100 * 100

The maximum area = 10,000 yd^2

The maximum area that David can have is  10,000 yd^2

Learn more on area of rectangle here: https://brainly.com/question/2607596

A bank account earns 2% interest each year. Giselle uses the expression p +0.02p
to find how much money will be in the account after one year if she deposits p dollars.

Answers

Answer:

1.02 is the simplified answer and 102% is the answer to the next one

Step-by-step explanation:

The expression p+0.02p can also be written as 1p+0.02p.

To combine like terms, add the coefficients.

1+0.02=1.02, so 1p+0.02p=1.02p.

Your friend is going to buy a used car. The one he is considering costs $4000 and will lose value at a rate of 13% per year. How much less will it be worth in 3 years?

Answers

13% of $4000 is $520
If the $4000 car loses value at a rate of 13% each year for 3 years
$520 x 3 = $1560
Subtract this amount from $4000
$4000 - $1560 = $2440

Answer: In 3 years, the used car will be worth $2440 in 3 years

Part A: If (26)X = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (59x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer: Part A: 1/26 or 0.38

Part B: 1/59 or 0.017

Step-by-step explanation:

how to spell spell spell

Answers

Answer:

Spell spell?

Step-by-step explanation:

Answer:

Reading, using a dictionary and playing online word games are all helpful. 

Step-by-step explanation:

read.

Communicate.

Learn.

For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
65,18

Answers

Factors or 65 = 5,13
Product of 5 and 13 is 65 and sum of 5 and 13 is 18

​​pls can u gus tell me the ans and explanation​​​​​​​​​

Answers

Answer:

2325 mL

Step-by-step explanation:

Let x = total volume of the tank. When we fill 4/5 of water into the tank, the amount of water we have can be expressed by 4x/5. Then we only keep 1/3 of that amount (poured away 2/3 of the water), so the amount of water is 4x/15. Thus we set up the equation like this:

4x/15 = 620

4x = 9300

x = 2325

Thus the tank can contain a maximum of 2325 mL.

"A city official is modeling the demand for bus transportation as a function (,) of two variables:
= price of a daily bus ticket in $, = price of parking per day in a downtown garage in $.
She hypothesizes that demand varies inversely as and directly as 100^2.
Answer the following questions considering that with a daily bus ticket cost of $0.50 and parking price of $6 per day, there are 7,200 bus riders using the bus transportation system.
1. Write the mathematical function describing the demand for bus transportation:
(,) = _"
I'm not sure how to set this up. Also not clear on what "the demand varies inversely as x and directly as 100y^2" means in this context.

Answers

Answer:

Step-by-step explanation:

What is the slope of the line that contains the points (1,-1) and (-2, 8)?

Answers

Answer:

Slope= 3/-1 or -3

Step-by-step explanation:

-2-1= 3

8-  -1= 9

Match the base to the corresponding height,

Answers

You have the right answers already

Step-by-step explanation:

hint base x height

or length x width

If each car is 16 centimeters long, what is the length of a 15-car train?

Answers

Answer:

yes, 240 cm is equal to 2.4 meters

Step-by-step explanation:

16cm times 15 cars is 240 cm. convert 240 cm to meters equals 2.4, so yes he has enough track for 15 cars on the train.

Answer:

240 cm

Step-by-step explanation:

multiply 16cm by 15 train cars to get 240 cm.

hope this helps and pls mark brainliest

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