Quadrilateral ERGF is inscribed in a circle Find the measure of angle E (Remember to show formulas equations and numbers in those formulasequations receive creditAlso, make sure to include units on your answer ) R - 2 + 6x G EK 7x - 13

Quadrilateral ERGF Is Inscribed In A Circle Find The Measure Of Angle E (Remember To Show Formulas Equations

Answers

Answer 1

The measure of angle E is 75°.

Solution:

Given data:

∠E = 5x, ∠F = 7x – 13 and ∠R = –2 + 6x

A quadrilateral inscribed in a circle is called cyclic quadrilateral.

∠R and ∠G are opposite angles in a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles are supplementary.

⇒ m∠R + m∠F = 180

⇒ –2 + 6x + 7x – 13 = 180

⇒ 13x – 15 = 180

Add 15 from both sides of the equation, we get

⇒ 13x = 195

Divide by 13 from both sides of the equation, we get

⇒ x = 15

To find the measure of angle E:

m∠E = 5x

m∠E = 5(15)

m∠E = 75

The measure of angle E is 75°.


Related Questions

Select the correct answer. Amelia lost her credit card one day while on vacation. She reported the loss to the credit card company the next day. However, someone had used her card to make purchases worth $1,600 at different shopping outlets. What is the maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card? A. $0 B. $50 C. $800 D. $1,600

Answers

Answer:a

Step-by-step explanation:

The maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

According to the Fair Credit Billing Act (FCBA) in the United States, a consumer's liability for unauthorized charges on a credit card is limited to $50.

Amelia will be responsible for paying the first $50 of the fraudulent charges, but she will not be held responsible for any charges above that amount.

However, most credit card companies have a zero liability policy, which means that the consumer will not be responsible for any unauthorized charges made on their credit card.

Hence, the maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.

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(4, 1) and (6,7)what is the slope ​

Answers

Answer:

3

Step-by-step explanation:

[tex]m = \frac{y}{x} = \frac{7 - 1}{6 - 4} = \frac{6}{2} = 3[/tex]

What is the area of the figure?

Enter your answer in the box.

❏in²

Answers

Answer:32

Step-by-step explanation:

add 10 + 10 + 6 + 6 = 32

(x+4)(x+3)-x(x-2)=48

Answers

Step-by-step explanation:

trust me its b i got it right

Big Ben a famous clock tower London , England . The diameter of the clock face 23 feet . Find the circumference of the clock face . Round to the nearest tenth .

Answers

Answer:

23pi, or approx. 72.27

Step-by-step explanation:

circumference = 2(pi)r, or 2d

pi = approx. 3.14, r = radius, and d = diameter

You are given diameter, so all you have to do is multiply 23 feet by pi.

The circumference of the clock face of is 72.1 feet or 23π.

Given that the diameter of the clock face is 23 feet.

To calculate the circumference of the clock face, use the the following formula:

The value of π is approximately 3.14159.

Circumference = 2πr

In the formula r is the radius.

Since, the diameter is 23 and the radius is half of the diameter.

Thus, the radius r is 11.5.

Further, calculate the circumference:

Circumference = 2 × 3.14159 × 11.5

Circumference ≈ 72.08357

Circumference ≈ 72.1 feet

Therefore, the circumference of the clock face is 72.1 feet.

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Six is one hundred times ???????????

Answers

Answer:

0.06

Step-by-step explanation:

6 is 6.0 and 0.06 times 100 is 6.

Answer:

0.06

Step-by-step explanation:

if you times 0.06 by 10 it is 0.6

if you times it by 100 it is 6

Norma has 9 pies to divide among 4 friends. How many pies will each friend receive if all of the pies must be used and can be divided into smaller parts? A. 2/9 pie B. 4/9 pie C. 1 1/4 pies D. 2 1/4 pies

Answers

Answer:

D. 2 1/2

Step-by-step explanation:

9/4 = 2.50 = 2 1/2

Answer:

D. 2¼

Step-by-step explanation:

9/4

(8+1)/4

8/4 + 1/4

Morgan’s mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?

Answers

Answer:

$770.60

Step-by-step explanation:

Simple interest is the same amount every year.

So first you work out 10%, then 5%, and then 1% which then you x3 to get 3%

10% = 72

5% = 36

1% = 7.2

3% = 14. 6

you then add together the 5% and the 3% to get the simple interest, which is

50.6

then you add the simple interest and the money she borrowed and that is your answer

720 + 50.6 = 770.60

Answer:

$900

Step-by-step explanation:

Which statement is true regarding the functions on the
graph?
Of(-3) = g(4)
Of(-4) = 9(-3)
f(-3) = g(-3)
Of 4) = g(4)

Answers

Answer:

f(-3) = g(-3)

Step-by-step explanation:

Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).

In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.

First option for example: f(-3) = g(4)

Value of "y" for f(x) when x = -3:

On the blue line, when x = -3, y = -4.

Value of "y" for g(x) when x = 4:

On the red line, when x = 4, y = -3.

Therefore:

f(-3) = g(4)

-4 = -3          <= This is false.

In the third option: f(-3) = g(-3)

On f(x) blue, when x = -3: y = -4

On g(x) red, when x = -3: y = -4

Therefore:

f(-3) = g(-3)

-4 = -4                <= This is true.

Answer:C

Step-by-step explanation:

I need help
5x^2 +60x+180=0

Answers

Answer:

x

Step-by-step explanation:

x

Answer:

-6

Step-by-step explanation:

khan academy

what is 1 and 1/8 plus 1 and 1/4

Answers

Answer:2.375

Step-by-step explanation:

1 and 1/8 =(1×8+1)/8=9/8

1 and 1/4 =(1×4+1)/4=5/4

9/8+5/4=9/8+10/8=19/8=2.375

Answer: 2.375

Which image shows a reflection of triangle ABC over the x-axis?
CLEAR CHECK

Math item response image

Math item response image

Math item response image

Answers

There is no images

Answer:

Please add images.

Step-by-step explanation:

30 points!Describe the differences between the graphs of y = −3x^2 and y = 1/3x^2 .

Answers

Answer:

y = -3x²

Is a concave down with a maximum turning point at (0,0)

y = ⅓(x²)

Is a concave up with a minimum turning point at (0,0)

Answer:

Both are parabolas but one is concave up,while the other is concave down as you can see fro the graphs.They also both intersect at the origin

there are 800 students at weaver middle school. to determine which mascot name is preferred by the students at the school, each of the 30 teachers surveyed their two top-scoring students. would this be an appropriate sampling technique for the school to use?

Answers

Answer:

This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.

Step-by-step explanation:

42
97
-----
[tex]42 \times 97[/tex]

Answers

Answer:

4074

Step-by-step explanation:

4. What is the measure of each interior angle of a regular 28-gon?

Answers

Step-by-step explanation:

Measure of each interior angle of 28 sided polygon

[tex] \frac{(28 - 2) \times 180 \degree}{28} \\ \\ = \frac{26 \times 180 \degree }{28} \\ \\ = \frac{4680 \degree }{28} \\ \\ = 167.14\degree \\ [/tex]

The measure of each interior angle of a regular 28-gon is 167.14 degrees.

The measure of each interior angle of a regular 28-gon can be calculated using the formula:

Interior Angle = (n-2) * 180 / n

Substitute n = 28 into the formula:
Interior Angle = (28 - 2) * 180 / 28 = 24 * 180 / 28 = 167.14 degrees

Part B: Set up an equation and solve for x. In your answer, include the equation, your calculations and the value of x.

Part C: Use your equation from Part A and the value of x from Part B to prove your equation to be true for the adjacent angles in the diagram.

Answers

The adjacent angles in the diagram are 112° and 68°.

Step-by-step explanation:

The measure of angle in a straight line is 180°.

Therefore, the sum of the two angles is equal to 180°.

⇒ 2x + 68 = 180

The equation formed to solve for x value is 2x+68 = 180

⇒ 2x = 180 - 68

⇒ 2x = 112

⇒ x = 112/2

x = 56

∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°

What is the GCF of 12m + 3mx?

Answers

Answer:

3m

Step-by-step explanation:

You can check

3m(4+x)

12m+3mx

see

and its gcf because inside () has no common factors

Answer:

3m(4+x)

Step-by-step explanation:

I need a word problem for 4x + 5 = 37

Answers

Alexa has 5 grapes. She went to the store and bought 4 times a number. When she counted the grapes, she had 37 grapes in total.

When you make a word problem with this, you will get 4x+5=37

what is seven over one minus one over eight

Answers

Answer:

7/1 - 1/8= 6[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Answer:

6.87500

Step-by-step explanation:

A coin is flipped 3 times If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

Answers

Answer:

12.50

Step-by-step explanation:

The expected amount is $12.50.

What is the probability?

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

There are 8 possibilities, if coin is flipped three times.

HHH, HHT, HTH, TTH, HTT, THT and TTH,

where H is possibility of head and T is tail.

Now the probabilities,

0 tails: 1 way out of 8 total: P(0) = 1/8

1 tails: 3 ways out of 8 total: P(1) = 3/8

2 tails: 3 ways out of 8 total: P(2) = 3/8

3 tails: 1 way out of 8 total: P(3) = 1/8

The expected amount;

(1/8)X 0 + (3/8)X 5 +(3/8)X15 +(1/8)X40

= 15/8 + 45/8 + 40/8

= 100/8

= 12.50

Therefore, the expected amount is $12.50.

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Answer the following question

Answers

The formula for the area of triangles is lwh × 1/2.

Multiply the length by the width, height, and then by 1/2.

1.1 × 3.8 × 0.5 = 2.09

Since both triangles are equal, both triangles area will be the same, 2.09.

Now multiply the are by 2.

2.09 × 2 = 4.18

The area of the shaded areas equals 4.18in.

plz help me i need work plz

Answers

For the given figure;

Perimeter = 41 cm and

Area = 49.5 cm².

Step-by-step explanation:

Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.

Step 2; The figure's area = The rectangle's area + The triangle's area.

The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².

The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².

The figure's area = 42 + 7.5 = 49.5 cm².

Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.

The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.

The perimeter of a triangle is the sum of all the three side lengths.

The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.

The perimeter of the figure = 26 + 15 = 41 cm.

18. Why might funds from a deposited check not be available on the day of deposit? (2 points)
It was made to a bank teller.
It was made into an old account.
It was larger than usual deposits.
It was an account transfer from the same bank.

Answers

Answer: Account might need to be reactivated since it is an old account and the sum on the cheque is larger than usual deposit

2) since it is a cheque deposit and the amount is larger than usual deposit, the bank teller will need to make neccessary confirmation from the cheque owner.

Step-by-step explanation:

Funds from a deposited check may not be available on the day of deposit due to processing times for verifying funds, anti-fraud measures for large or irregular deposits, and the clearing process required for checks drawn on different banks.

Funds from a deposited check may not be available on the day of deposit for a number of reasons. One common reason is due to the processing time that is required for the bank to verify the funds from the issuing account. When an individual makes a deposit, the bank needs to ensure that the payer's account has sufficient funds to cover the check. This process can take several business days, especially if the check is drawn on a different bank or financial institution.

Another reason why funds might not be immediately available is due to anti-fraud measures. Banks often hold larger than usual deposits or checks from new accounts for additional scrutiny to prevent fraud. This hold allows the bank to time to confirm the legitimacy of the check before making the funds available to the depositor.

Finally, if both the issuing and receiving account are at the same bank, a simple internal account transfer can occur with no need for an actual movement of physical funds. However, if the banks are different, checks typically go through a clearing process, which might involve an intermediary such as a Clearing House, where the checks are offset against each other and only the net balances are settled. This systematic arrangement usually results in a delay before the deposited funds are available to the account holder.

This graph shows the temperature in Diego's house between noon and midnight one day.
temperature (degrees F)
R
3
TO
1
2
3 4 5 6 7 8 9
time (hours after noon)
10
11
12
Which of the statements below are true statements? Correct the statements that are false to make them
true.
Example:
The highest temperature happened at 9:00. This statement is false. The correct statement is: The
highest temperature happened at 4:00.
A. Time is a function of temperature.
B. The lowest temperature occurred between 4:00 and 5:00.
C. The temperature was increasing between 9:00 and 10:00
D. The temperature was 74 degrees twice, during the 12-hour period.
E. There was a four-hour period during which the temperature did not change.
REMEMBER TO CORRECT WRONG STATEMENTS. YOU GET 1 POINT FOR EACH LETTER, 1 FOR
CORRECT, 1 FOR CORRECTING FALSE STATEMENTS.

Answers

The first three statements are false because they are opposite from the data shown in the graph, while the two last statements are true.

To determine whether a statement is true or false, you need to:

Carefully analyze the information of the graph.Read and understand the statement.Compare the information of the statement to the one of the graph.

Now, let's analyze each statement:Time is a function of temperature:

This statement is false, this is because time does not change with temperature, and therefore time is an independent variable. The corrected statement would be Temperature is a function of time.

The lowest temperature occurred between 4:00 and 5:00:

In the graph, you can see the lowest temperature was 67° and this occurred between 11 and 12 p.m. Therefore, the lowest temperature occurred between 11:00 and 12:00.

The temperature was increasing between 9:00 and 10:00:

Based on the graph from 9 to 10 p-m the temperature went from 70° to almost 65°. Therefore the temperature was decreasing between 9:00 and 10:00.

The temperature was 74 degrees twice, during the 12-hour period:

This statement is true, this temperature occurred at 3:00 and 4:00.

There was a four-hour period during which the temperature did not change:

This statement is true, the temperature is the same between 5:00 and 9:00.

Note: This question is incomplete because the graph is missing, here is the graph.

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URGENT!!!!!!!!
I need the answer to both parts in this screenshot.

Answers

Answer:

a) $10

b) 0.1 hours

Step-by-step explanation:

The total amount earned by Cary,E after working h hours is calculated using:

[tex]E=10h[/tex]

The dollars Cary earns per hour is the unit rate, which is $10

If Cary earns $10 per hour, then she earns

$1 in

[tex] \frac{1}{10} hours = 6mins[/tex]

Carry has to work for 0.1 hours to earn $1

Solve the system of linear equations by graphing. Y=-5/2x-7 X+2y=4

Answers

Answer:

They intersect at (-4.5, 4.25)

Assuming you can graph them, just put the equations in your calculator or graphing software and find the intersection, next time.

5d2-50d+125 =
Fully factor each expression

Answers

First, let's start off by simplifying as much as possible before factoring.

5d^2 - 50d + 125

We can divide all the numbers by 5 in order to simplify it:

5(d^2 - 10d + 25)

Now all we need to do is factor.
Since -5*-5 = 25 and -5 - 5 = -10, we can use this to factor:

5(d - 5)(d - 5)
Or
5(d - 5)^2

Simplify. 10/27 divided by 5/9​

Answers

Answer:

2/3   or 0.6

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

According to the question,10/27÷5/9

So we will have to be careful when solving this kind of question

So let's solve

10/27÷5/9

To solve we will have to convert the division to multiplication and during this process the 5/9 will actually change to 9/5

10/27×9/5

If you calculate it well,you will get

2/3

Which means that the final answer is 2/3 since it cannot be solved further

So 10/27÷5/9 gives 2/3

Please answer quickly I am running out of time

Answers

The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .

Solution:

Given function:

[tex]g(x)=\left\{\begin{array}{ll}-\frac{1}{3} x^{2}+4 & \text { if } x \neq-2 \\3 & \text { if } x=-2\end{array}\right.[/tex]

Substitute x = –4 in g(x), we get

[tex]$g(-4) =- \frac{1}{3}(-4)^2+4[/tex]

          [tex]$=- \frac{16}{3}+4[/tex]

To make the denominator same, multiply and divide the 2nd term by 3.

          [tex]$=- \frac{16}{3}+\frac{12}{3}[/tex]

[tex]$g(-4)=- \frac{4}{3}[/tex]

It is given that, if x = –2, then g(x) = 3

Therefore g(–2) = 3

Substitute x = 2 in g(x), we get

[tex]$g(2) =- \frac{1}{3}(2)^2+4[/tex]

       [tex]$=- \frac{4}{3}+4[/tex]

To make the denominator same, multiply and divide the 2nd term by 3.

       [tex]$=- \frac{4}{3}+\frac{12}{3}[/tex]

[tex]$g(-2)= \frac{8}{3}[/tex]

The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .

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