Find the value of each variable. PLEASE HELP ME

Find The Value Of Each Variable. PLEASE HELP ME

Answers

Answer 1

Given:

A quadrilateral DEFG inscribed in a circle.

[tex]m\angle D=60^\circ, m\angle E=m^\circ, m\angle F=2k^\circ, m\angle G=60^\circ[/tex]

To find:

The value of variables [tex]m[/tex] and [tex]k[/tex].

Solution:

If a quadrilateral is inscribed in a circle then it is a cyclic quadrilateral. The opposite angles of a cyclic quadrilateral angle supplementary angles.

Quadrilateral DEFG inscribed in a circle. So, quadrilateral DEFG is a cyclic quadrilateral.

[tex]m\angle D+m\angle F=180^\circ[/tex]                [Supplementary angle]

[tex]60^\circ+2k^\circ=180^\circ[/tex]

[tex]2k^\circ=180^\circ-60^\circ[/tex]

[tex]2k^\circ=120^\circ[/tex]

Divide both sides by 2.

[tex]k^\circ=\dfrac{120^\circ}{2}[/tex]

[tex]k^\circ=60^\circ[/tex]

[tex]k=60[/tex]

Similarly,

[tex]m\angle E+m\angle G=180^\circ[/tex]

[tex]m^\circ+60^\circ=180^\circ[/tex]

[tex]m^\circ=180^\circ-60^\circ[/tex]

[tex]m^\circ=120^\circ[/tex]

[tex]m=120[/tex]

Therefore, the values of the variables are [tex]m=120[/tex] and [tex]k=60[/tex].


Related Questions

The absolute value of -7

Answers

Answer:

7

Step-by-step explanation:

|-7|  means find the distance from 0

We take the non negative value

|-7| = 7

Suppose one network executive is selected at random. find the indicated probabilities

Answers

Answer:

na answer ran nyo na po

Step-by-step explanation:

Three brothers wunmi, niyi and dare shared a quantity of walnuts in the ratio 3:4:5 if wunmi got 21 walnuts how many did niyi get?
.​

Answers

Answer:

28 walnuts

Step-by-step explanation:

3 times 7 is 21 so 4 times 7 is how many walnuts niyi gets

constant
r is the counting number from 7 to 9​

Answers

r: 8 ...................

Suppose the probability of success in a binomial experiment is 0.95. What is the probability of failure?

Answers

Answer:

0.05

Step-by-step explanation:

this is because the total probability always adds up to 1

10) y=p+ar
Find y when p=-5,q=3 and r=-7.
y
Write p in terms of q, r and y.

Answers

By bodmas.
Y=p+ar
Y=-5+(3x-7)
Y=-5+(-21)
Y=-26

Find the slope of a line that is PRRPENDICULAR to the line that goes between (3,-8) and (5,2).

5
1/5
-5
-1/5
3
-3
1/3
-1/3

Answers

Answer:

-1/5

Step-by-step explanation:

Slope of the line = (y2-y1)/(x2-x1)

(2-(-8)/(5-3)

10/2 = 5

Perpendicular line = the slope is opposite of the reciprocal

-1/5

A rectangular. Garden bed measures 8 x 6 feet a water faucet is at one corner of the bed hose must be long enough to reach opposite corner when stretched straight. Find required length of hose

Answers

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

64 + 36 = 100.

the square root of 100 is 10 so the length of the hose is `10.

Fill in the y values of the t–table for the function y = RootIndex 3 StartRoot x EndRoot

x y
−8
−1
0
1
8

Answers

Answer:

the answer will - 16

Step-by-step explanation:

because 8 minus 1 is 7 and plus 0 is also 7 then you have add 1 means you have to plus 1 and then their will be 8 and then plus another 8 and the answer will be minus 16

The y values of the table for the function will be -2, -1, 0, 1, and 2.

How to depict the values?

The given function is y = 3✓x. Therefore, for x = -8, y = 3✓-8 = -2. For x = -2, y will be = 3✓-1 = -1.

For x = 0, y = 3✓0 = 0. When x = 1, y = 3✓1 = 1 and lastly when x = 8, y = 3✓8 = 2.

In conclusion, the y values of the table for the function will be -2, -1, 0, 1, and 2.

Learn more about t tables on:

https://brainly.com/question/12488423

What is the difference of the polynomials?
(5x^3 + 4x^2) - (6x^2 - 2x - 9)

Answers:
A.) -x^3 + 6x^2 + 9
B.) -x^3 + 2x^2 - 9
C.) 5x^3 - 2x^2 - 2x - 9
D.) 5x^3 - 2x^2 + 2x + 9​

Answers

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]

Distribute the negative:

[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]

Rearrange the terms:

[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]

Combine like terms. Hence:

[tex]=5x^3-2x^2+2x+9[/tex]

Our answer is D.

PLEASE HELP ME !!!!
At a real estate​ agency, an agent sold a house for ​$358,000. The commission rate is
4.5​% for the real estate agency and the commission rate for the agent is20 ​% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?
The agency made ​$___ on the house.

Answers

Answer:

The agency makes 16110

The agent makes 3222

Step-by-step explanation:

First find the real estate commission

358000 * 4.5%

358000*.045

16110

The agent gets 20 percent of that amount

16110*20%

16110*.2

3222

A box with a square base and open top must have a volume of 256000 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x , the length of one side of the square base.

Answers

Answer:

Follows are the response to the given question:

Step-by-step explanation:

The volume of the box:

[tex]V = x\times x \times h = 256000 \ cm^3\\\\\to x^2 \times h = 256000\\\\\to h = \frac{256000}{x^2}[/tex]  

The surface area of the open box is:

[tex]A(x) = x \times x + 2 \times (x \times h +x \times h)\\\\A(x) = x^2 + 4 \times x \times h\\\\A(x) = x^2 + \frac{1024000}{x}\\\\\frac{d(x^n)}{dx} = n \times x^{(n - 1)}\\\\[/tex]

Use above formula

[tex]A'(x) = 2 \times x - \frac{1024000}{x^2}\\\\[/tex]

[tex]A'(x) = 0\\\\2\times x - \frac{1024000}{x^2} = 0\\\\2x = \frac{1024000}{x^2}\\\\x^3 = 512000\\\\x = (512000)^{(\frac{1}{3})} = 80\ cm\\\\[/tex]

Now

[tex]A''(x) = 2\times 1 + 2\times \frac{1024000}{x^3}\\\\A''(x) = 2 + \frac{2048000}{x^3}\\\\x = 80 \ cm\\\\A''(80) = 2 + \frac{2048000}{80^3} = 6\\\\[/tex]

therefore [tex]A"(x) > 0,[/tex] x amount of material used in minimum.

[tex]h = \frac{256000}{80^2} = 40\ cm[/tex]

Right angle Trigonometry, please help me solve (find the angle ) and explain!

Answers

Answer:

<A = 41.41

Step-by-step explanation:

You want angle A.  Call it theta.

AC is the adjacent side. It is the side that is NOT the Hypotenuse.

The Hypotenuses is the longest side in a right triangle.

Cos-1 (Adjacent Side / Hypotenuse ) = theta

Adjacent side = 6

Hypotenuse = 8

Cos-1(6 / 8) = theta

theta = Cos-1(0.75)

theta = 41.41 rounded.

(8+2)-5=???????????????????

Answers

the answer is 5 I hope this helped you!!

Sam is collecting pennies. On the first day of the month, Sam is given 11 pennies. Each day after that he gets 7 more pennies. Which of the following equations defines how many pennies he has after the nth day?

Answers

Answer:

he would have 74 pennies i think

Step-by-step explanation:

he already has 11 pennies on the first day and each day after he gets 7 more. so putting that into a equation,specifically y=mx+b, the equation would be y=7x+11. since there are 9 days after that,9 would replace the x value. so you would plug 9 in making the new equation y=7×9+11. all u do now is solve, 7×9 is 63,then plus 11 is 74

Which coordinate K on the line segment with endpoints J (4,2) and L (4,6) divides JL such that the ratio of JK:KL is 3:1? helpp for finals!!
A. (4,5)
B. (5,4)
C. (4,3)
D. (3,4)

Answers

The answer for this question is letter D . ( 3,4) !!!!

The coordinate of K on the line segment JL is (4,5).

What is section formula?

When a point divides a line segment externally or internally in some ratio, we use section formula to find the coordinates of that point.

Internal section formula

[tex]P(x, y) = (\frac{mx_{2} +nx_{1} }{m+n} ,\frac{my_{2}+ny_{1} }{m+n})[/tex]

Where,

(x, y) are the coordinates of point P.

[tex](x_{1},y_{1} )[/tex] are the coordinates of point A.

[tex](x_{2},y_{2})[/tex] are the coordinates of point B.

m and n are the ratio values in which P divides the line segment AB internally.

According to the given question.

Coordinates of points J and L are (4, 2) and (4, 6) respectively.

K divides the line segment JL in the ration 3:1.

Therefore, the coordinates of K by section formula is given by

[tex]K(x, y) = (\frac{3(4)+1(4)}{3+1} , \frac{3(6)+1(2)}{3+1} )[/tex]

⇒ [tex]K(x, y) = (\frac{12+4}{4} , \frac{18 + 2}{4} )[/tex]

⇒ [tex]K(x, y) = (\frac{16}{4} ,\frac{20}{4})[/tex]

⇒[tex]K(x, y) = ( 4, 5)[/tex]

Hence, the coordinate of K on the line segment JL is (4,5).

Find out more information about section formula here:

https://brainly.com/question/20320420

#SPJ2

system of equations amanda bought 9 shirts for a total of 69$ Tee shirts cost 7$ and long sleeve shirts cost 8$ how many of each type did she buy

Answers

9514 1404 393

Answer:

6 shirts at $83 shirts at $7

Step-by-step explanation:

Let x and y represent the numbers of $8 and $7 shirts, respectively. Your system of equations can be written ...

  x + y = 9

  8x +7y = 69

Subtracting 7 times the first equation from the second gives ...

  (8x +7y) -7(x +y) = (69) -7(9)

  x = 6

Then y is ...

  y = 9 -x = 9 -6 = 3

Amanda bought 6 tees costing $8 and 3 tees costing $7.

I don’t really understand how to do this

Answers

Answer:

<A = 63degrees

Step-by-step explanation:

From triangle DEF;

<D + <E + <F = 180

87 + 30 + <F = 180

117 + <F = 180

<F = 180 - 117

<F =  63degrees

Since <A = <F based on similarities, then <A = 63degrees

Peter Piper picked a pickled pepper out of a pepper jar. If the probability of drawing a pickled pepper was 2/5,
how many total peppers could be in the jar (psst. you can't have a half of a pepper)?

Answers

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

50 points!
What is the area of triangle xyz? Use special right triangles to help find the height. Leave your answer in terms of radical. Show work.

Answers

tan60=x/12 12tan60=14.3 so area formula: 85.8

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 21 cups of​ coffee, using 294 ounces of​ coffee, while collecting a total of ​$24.35. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

Let's define the variables:

x = number of 10-oz cups of coffee sold.

y = number of 14-oz cups of coffee sold.

z = number of 20-oz cups of coffee sold.

We know that:

Kyle served 21 cups of coffee, then:

x + y + z = 21

He used 294 ounces of coffee, then:

x*10 oz + y*14 oz + z*20 oz = 294 oz

He collected a total of $24.35, then:

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

Then we have a system of 3 equations:

x + y + z = 21

x*10 oz + y*14 oz + z*20 oz = 294 oz

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

To solve this, the first thing we need to do is isolate one of the variables in one of the equations, let's isolate x in the first one.

x = 21 - y - z

Now we can replace this in the other two equations to get:

(21 - y - z)*10 oz + y*14 oz + z*20 oz = 294 oz

(21 - y - z)*($0.95) + y*($1.15) + z*($1.50) = $24.35

Now we can simplify these two equations:

y*4 oz + z*10 oz = 294 oz - 210oz = 84 oz

y*($0.20) + z*($0.55) = $24.35 - $19.94 = $4.40

Now we need to do the same thing, we need to isolate one of the variables in one of the equations, we can isolate z in the first one:

z*10 oz = 84oz - y*4 oz

z = (84oz - y*4 oz)/10oz

z = 8.4 - y*0.4

Now we can replace this in the other equation:

y*($0.20) + ( 8.4 - y*0.4)*($0.55)  = $4.40

Now we can solve this for y.

y*($0.20) + $4.62 - y*$0.22 = $4.40

y*$0.02 = $4.40 - $4.62 = $0.22

y = $0.22/$0.02 = 11

Now that we know the value of y, we can use:

z = 8.4 - y*0.4

z = 8.4 - 11*0.4 = 4

Now that we know the value of z and y we can use:

x = 21 - y - z

x = 21 - 11 - 4 = 6

Then we found:

x = 6

y = 11

z = 4

this means that:

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/20067450

HELP ON NUMBER 2 PLEASE

Answers

c

step by step explanation

hope this helps

Answer:

its C

Step-by-step explanation:

if u need some explanation just ask

given f(x)=8x+13 and g(x)=x^2-5x, find (f-g)x

Answers

(f-g)x= -x²+13x+13

Hope it helps you....

Consider the following sets of sample data:

A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64

Required:
For each of the above sets of sample data, calculate the coefficient of variation, CV.

Answers

Answer:

3.319%

14.13%

Step-by-step explanation:

A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766

B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64

Given the data:

The mean, m = Σx / n

The standard deviation, s = √Σ(x - m)²/ (n-1))

The coefficient of variation is, CV = s / mean

Using calculator to save computation time :

A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766

Data A :

Mean, m = 21101.5714

Standard deviation, s = 700.28925

CV = s / m * 100% = 700.28925 / 21101.5714 * 100% = 3.319%

Data B:

Mean = 4.089

Standard deviation, s = 0.5776

CV = 0.5776 / 4.089 * 100% = 14.13%

The length of a rectangle is eight more than double the width. If the perimeter is 130 inches, find the
dimensions.

Answers

Answer:

The length is 46 inches and the width is 19 inches

Step-by-step explanation:

Let w represent the width.

The length of the rectangle can be represented by 2w + 8, since it is eight more than double the width.

Use the perimeter formula, p = 2l + 2w. Plug in 130 as the perimeter and 2w + 8 as l, then solve for w:

p = 2l + 2w

130 = 2(2w + 8) + 2w

130 = 4w + 16 + 2w

130 = 6w + 16

114 = 6w

19 = w

So, the width is 19 inches. Plug in 19 as w into 2w + 8 to find the length:

2w + 8

2(19) + 8

38 + 8

= 46

The length is 46 inches and the width is 19 inches


v
=

20
L
v
=
20
L


to estimate the speed of a car,
v
v
, in miles per hour, based on the length,
L
L
, in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 168 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

Answers

Answer:

sorry no idea hhcchuucghhf

The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = x, where x is the number of movies downloaded and g(x) is the total cost in dollars.

You want to make 2 downloads, and you have $5. Determine the least expensive option.

1. You download 2 songs.
2. You download 2 movies.
3. You download 1 song and 1 movie.
4. You don't have enough money for 2 downloads.

Answers

Answer:

The second answer is the correct one

Step-by-step explanation:

Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.​

Answers

Answer:

This Symbol has 4 lines of Symmetry

Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.

Answers

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units

Step-by-step explanation:

area of the triangle is 6

base = 6

height = 2

so are is 6 x 2 / 2

Answer:did this a few months ago this answer is

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

like the person up there

Two circles with the same center are called
Select one:
a. externally tangent
b. circumscribed
c. inscribed
d. concentric

Answers

Answer:

d

Step-by-step explanation:

Circles with the same centre are concentric circles

Answer:

concentric

Step-by-step explanation:

as well all know that two circles with the same center are called Concentric and there is no doubt about that

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