Find the value of X.

Answers

Answer 1

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

Angles AFB and CFE are vertical angles, so have the same measure. That means arc AB has the same measure of arc CE. The latter arc is 27° more than arc DE, which is 90°. So, we have ...

arc AB = arc CE

21x -9 = 90 +27

21x = 126 . . . . . . add 9, collect terms

x = 6 . . . . . . . divide by 21

Related Questions

Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm

Answers

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

5x - 2y = 15
2x + 4y = 12

Select the solution to the system from the options below:

Answers

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12 (add)

-----------------

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12 (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP

Answers

I think it’s 10,21 and 40, in that order. Sorry if I’m wrong:(

A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?

Answers

Answer:

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x + (30/4)y =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

50 POINTS !!

PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer: 4.12 km

Step-by-step explanation:

Use the Pythagorean theorem. Name the hypotenuse (longest side) c and the bottom side b. Then, simplify and solve for a.

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 17

a = square root of 17 or approx. 4.12

Please give brainliest!

slope of a line that goes through points (-8,0) and (0,6)

Answers

Answer:

3/4

Step-by-step explanation:

slope = rise / run

slope = ∆y/∆x

slope = (y2 - y1) / (x2 - x1)

slope = (6 - 0) / ( 0 - -8)

slope = 6/8

slope = 3/4

Which choice is equivalent to the expression below?
(-4)-5

Answers

C is the correct answer

Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?

Answers

Answer:

3 cups of sparkling water

Step-by-step explanation:

So the ratio is 2:4=?:6

Setting them equal to each other, you'll divide 6 by 4

You get 1.5, then multiply 2 by 1.5 to get 3

Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?

Answers

Answer:54.9

Step-by-step explanation:

A class survey provides the data shown.

1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11

Which box plot represents the class?

Answers

1.445556677788911 x 10’13

The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.

Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?

Part B: Explain what the solution from Part A means in the context of the problem.

Answers

6,000 I think I suck at math

∠DGC and ∠CGB are □ angles.Adjacent
Adjacent
Complementary
Supplementary
Vertical

Answers

Answer:

They are adjacent angles

For every 1000 videos it makes £2 from ad revenue.
How many videos are required to make £25

Answers

Step-by-step explanation:

If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!

(the answer would be 12,500)

1. Nasir borrowed $420 for six months with $77 monthly payments.

How much interest will he pay on this loan?

$77

$57

$52

$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.

What will he pay in interest?

$103.16

$105.80

$122.40

$135.50

Answers

Answer: 52 and 793.25

Step-by-step explanation:

Answer:

1: 52

2: 105.80

Step-by-step explanation:

Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.

Answers

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

Answer:

They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.

Step-by-step explanation:

That’s what i put

A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of 51
$?

Answers

Answer:

33.33 percent

Step-by-step explanation:

$88

Step-by-step explanation:

55 increase 60%=

55x(1+60%)=55x(1+0.6)=88

Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?

Answers

$1,200
...............

A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....

Answers

Answer:

6 inches

Step-by-step explanation:

the formula for the volume of a rectangular prism is width*length*height.

Here we are asked to find the height when given a volume. The resultant equation is:

volume = w * l * h

192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:

192 cu.in./32 sq.in.= h inches

6 inches = height

Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200

Answers

9514 1404 393

Answer:

a) 3.18 years

b) 13.52 years

c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

A = Pe^(rt)

A/P = e^(rt)

ln(A/P) = rt

t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Use what you know about triangles to classify this triangle.

a triangle with three equal angles and three equal sides
Question 1 options:

Acute isosceles triangle

Obtuse scalene triangle

Equiangular triangle

Obtuse isosceles triangle

Answers

Answer: C equilateral triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did the test :)

What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x

Answers

9514 1404 393

Answer:

(d) y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

y = 1/2sin(2x)

P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.

Answers

Answer:

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)

Answers

Answer:

[tex]y - y_1 = m(x - x_1)[/tex]

Step-by-step explanation:

Given

A to D

Required

Which is the point slope equation

The point slope form of a coordinate pair is:

[tex]y - y_1 = m(x - x_1)[/tex]

Hence, (d) is correct

URGENT PLZ HELP

use the graph to write an equation of the line

Answers

y=3/2x
If you are referring to the diagonal line on the graph but if your talking about the vertical line it would be y=0 I think and the horizontal line would be y=x I think

What is the product of 3/4 multiplied by x = 1/2?

Please dont do a file or link, just the straight up answer, thanks.

Answers

The answer is .375 .

A triangle has base 4 cm
and height 9 cm, What is its
area

Answers

Answer = 18
A= hb/2 = 9·4/2 = 18

Answer:

18 cm^2

Step-by-step explanation:

Formula for area of triangle: bh/2

4x9=36

36/2=18

What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11

Answers

The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

How to determine the location of the point?

The points are given as:

A = 2

B = 17

Point = 3/5

The location of the point is then calculated as:

Point = A + 3/5(B - A)

So, we have:

Point = 2 + 3/5(17 - 2)

Evaluate the product

Point = 2 + 9

Evaluate the sum

Point = 11

Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

Answers

Answer:

100x + 13000y = 865000

Step-by-step explanation:

x = Series A price

y = Series B price

(HElP) which answers describe the shape below?

Answers

Square and quadrilateral!

I think it would be A, B, D and E.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

Answers

Answer:

Y=2x+4

Step-by-step explanation:

Y=Mx+b is the slope intercept formula

subtract 2x so you get -y=-2x-4. Then divide everything by-1 .

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