Angle E and angle F are vertical angles with m angle E = 5x + 10 and m angle F = 7x - 12
What is the value of X?

Answers

Answer 1

Vertical angles are always equal.

So you can set the equation up like this:

5x + 10 = 7x - 12

Subtract 5x from both sides. Then Add 12 to both sides.

22 = 2x

Divide both sides by 2.

11 = x

Answer 2
Final answer:

Vertical angles are equal, so we set the expressions 5x + 10 and 7x - 12 equal to each other and solve for 'x', resulting in the value of 'x' being 11.

Explanation:

The student is asking about vertical angles, which are angles opposite each other when two lines cross. In this case, m angle E and m angle F are vertical angles with given expressions for their measures. According to the property of vertical angles, they are equal. This means we can set the expressions for their measures equal to each other and solve for 'x'.

The equations given are:

m angle E = 5x + 10m angle F = 7x - 12

Since m angle E = m angle F, we write:

5x + 10 = 7x - 12

Now, let's solve for 'x':

Subtract 5x from both sides: 10 = 2x - 12.Add 12 to both sides: 22 = 2x.Divide both sides by 2: x = 11.

So, the value of 'x' is 11.


Related Questions

i hate math. Expand 4(-2y + 3).

Answers

i think its        -8y + 12


Answer:

-8y + 12

Step-by-step explanation:

The model is 18.5 inches wide and 36.5 inches tall. If the actual building is 370 feet wide, what's its height?

Answers

I got 750.278... might be wrong

Answer:

It's 730 feet

Step-by-step explanation:

In 2 hours the minutes hand of a clock rotates through an angel of how many degrees?

Answers

720° cause in 1 hour it rotates 360° meaning of you multiple by 2 it's 720°

Yes it definitely is 720 degrees.

1 round= 360 degrees

2 rounds= 2 X 360 = 720 degrees

:-)

Which relation is a function?

Answers

Its the one shaped like a V

A car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car. How many miles did a customer drive if the customers bill was $37.80? Write the variable represents, equation, and miles.

Answers

Answer:

128 miles

Step-by-step explanation:

Given that a car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car.

Let us represent y as total charges and x no of miles driven

Even if x=0, y= 25 (base fee)

SO y intercept =25

Slope = charge per drive = 0.10

So equation is

y =0.1x +25

To find out how many miles did a customer drive if the customers bill was $37.80, we can use the above equation.

y = 37.80 and x =?

37.80=0.1x+25

0.1x = 12.80

x = 12.80/0.1 = 128 miles

11 15/26 + [-17 5/13] =

Answers

11 15/26 + [-17 5/13] =

[tex]11 \frac{15}{26} = \frac{301}{26}[/tex]

[tex]-17 \frac{5}{13} = -\frac{226}{13}[/tex]

[tex]\frac{301}{26} - \frac{226}{13}[/tex]

To subtract two fractions the denominators should be same

Least common denominator = 26

We multiply second fraction by 2

[tex]\frac{301}{26} - \frac{452}{26}[/tex]

[tex]\frac{301-452}{26}[/tex]

[tex]\frac{-151}{26}[/tex]


1. Margot hiked around lake C each day. How many miles did she hike in 12 days?

2. Keenan hiked 15 times as far as Margot. How far did Keenan hike?

Answers

1. 252 beacuse 21 x 12= 252

2. 3780 Now 252 x 15=3780

Using the multiplication operation, the number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

The approximate distance around Lake C = 21 miles

Number of hiking days = 12

Hence, the number of miles hiked by Margot will be :

21 × 12 = 252 miles

Keenan hiked 15 times as far as Margot :

Margot's mile × 15

Keenan's distance = 252 × 15 = 3780 miles

Therefore, the Number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

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What are 5 fractions that can simplify to 2/5

Answers

4/10
8/20
16/40
32/80
64/160

4/10

6/15

18/45

8/20

16/40

Nolan deposited $2300 into a savings account for which interest is compound weekly at a rate of 2.12%.

How much interest will he earn after 7 years?

Answers

Answer:

The answers is 367.87

Step-by-step explanation:

The interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that simple interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

For the considered case, the unit of time is weekly.

In 7 years, there can be at least 1 leap year, and at max 2 leap years.

In 7 years, therefore, the number of days are between [tex]6 \times 365 + 366[/tex] and [tex]6 \times 365 + 366+1[/tex] or say in between 2556 and 2557

Since each week has 7 days, therefore, the number of weeks these days will have is approx [tex]\dfrac{2556}{7} \approx 365.14[/tex] (assumed there are 2556 days in 7 years).

This approximates to 365  weeks (integer quantity)

Thus, we get:

Unit of time is weekRate of interest per week = 2.12%Type of interest applied = Compound interestUnits of week for which interest is applied is approx 365Initial amount deposited = $2300

Thus, the amount of interest that Nolan will earn is approx:

[tex]CI = P(1 +\dfrac{R}{100})^T - P\\\\CI \approx 2300(1 + 0.0212)^{365} - 2300 \approx 2300 \times 2115.65 - 2300\\CI \approx \$4,863,465[/tex]

Thus. the interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.

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Celina babysat for 5 hours and earned 27

Answers

If you're asking how much she got paid per hour, the answer would be $5.40.

27 / 5 = 5.4

Per hour is $5.40
27/5= 5.4

Which shows the phrase the sum of a number and 8 is a variable expression?

n + 8

n - 8

8n + 8

8n

Answers

"The sum of" means addition

Let "a number" = n

n + 8, or (A) is your answer

hope this helps

If interest compound at 20% per year how long will it take 50000 to accumulate to 86400

Answers

3 years. 50000x1.2^3=86400
Final answer:

To find the time it takes for an amount to accumulate with compound interest, we can use the formula A = P(1 + r/n)^(nt). In this case, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.

Explanation:

To find the time it takes for an amount to accumulate with compound interest, we can use the formula:

A = P(1 + r/n)^(nt)

where:

A is the final amountP is the principal (initial amount)r is the interest rate (in decimal form)n is the number of compounding periods per yeart is the time in years

In this case, we have:

50000(1 + 0.20/1)^(1*t) = 86400

Dividing both sides of the equation by 50000, we get:

(1 + 0.20)^t = 1.728

Using logarithms, we can solve for t:

t = log(1.728) / log(1.20)

t ≈ 2.56

Therefore, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.

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A quadratic function has a line of symmetry at x=-3.5 and zero at -9 what is the distance from the given zero to line of symmetry

Answers

If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.

A line of symmetry has equation x=-3.5 that is x+3.5=0.

Use formula for the distance from point [tex](x_0,y_0)[/tex] to the line AX+By+C=0:

[tex]d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.[/tex]

Thus,

[tex]d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.[/tex]

Answer: the distance is 5.5 units.

Answer:

5.5

Step-by-step explanation:

A jug holds 4.8 liters. How many milliliters does it hold? Enter your answer in the box.

Answers

Answer:

The jug will hold 4,800 milliliters.

Step-by-step explanation:

Each liter is 1000 milliliters, and 4.8 • 100 = 4,800

Final answer:

The jug holds 4800 milliliters. The conversion factor is that 1 liter is equal to 1000 milliliters.

Explanation:

The subject of this question is based on the concept of volume conversion, specifically from liters to milliliters. This falls within the field of Mathematics. In the metric system, volume can be measured in cubic meters (m³), liters (L), and milliliters (mL). These units of volume are used in different scenarios depending on the magnitude of the volume to be measured. One liter (L) is equal to 1 cubic decimeter (dm³), or 1,000 cubic centimeters (cm³).

One common metric conversion is from liters to milliliters. This is because 1 Liter equals 1000 milliliters.

Therefore, if a jug holds 4.8 liters, we can find the equivalent volume in milliliters by multiplying the volume in liters by 1000. In this case, 4.8 liters * 1000 equals 4800 milliliters

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How much would it cost to buy 3 medium sodas and 2 hot dogs

Answers

To start off you need to figure out how much money each item costs.  Now get out your calculator because it will make this process go much faster.



EXAMPLE:

If your sodas cost $2.25 EACH you need to do the following math equation

2.25 X 3 = 6.75 witch is the total you would be paying in this situation.


HOT DOGS EXAMPLE:


Lets say that your hotdogs are $4.75 PER DOG. You just need to follow the same steps above.


4.75 X 2 = 9.5 but thats not how we write money so it would be $9.50


Hope this helps,


Daniel

Answer:

depends what price it is

Step-by-step explanation:

slope intercept of (2,1) and (4,0)

Answers

the answer to the question

Please help will give brainliest

Answers

Answer:

James and Logan each are eating sandwiches. Logan finished his but then stole 1/3 of James' sandwich. James still has 5 times the parts of his sandwich then Logan. What fraction of a sandwich does Logan still have left?

Step-by-step explanation:

Logan stole 1/3 of James' sandwich resulting in Logan owning James 1/3 of a sandwich.

How many centimeters are in 1 mile? Use the equalities 1 mile = 5280 feet; 1 foot = 12 inches; and 1 centimeter = 0.394 inches. Student Selected Incorrect A. 5280 ∕ (12 x 0.394) cm Disabled B. 5280 x 12 x 0.394 cm Disabled C. (5280 x 12 ∕ 0.394) cm Disabled D. (5280 + 12 + 0.394) cm

Answers

There are 160934.4 centimeters in one mile.

Simplify the expression. Write your answer as a power. (2/3)^2⋅(2/3)^6

Answers

(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8


When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.

(a^b)*(a^c) = a^(b+c)

Final answer:

The simplification of the expression [tex](2/3)^2\times (2/3)^6[/tex] is obtained by adding the exponents, resulting in [tex](2/3)^8[/tex].

Explanation:

To simplify the expression[tex](2/3)^2\times (2/3)^6[/tex], we need to remember the rule of exponents which states that when we multiply two powers with the same base, we add the exponents. So in this case, we have the base (2/3) and we will add the exponents 2 and 6 together.

[tex](2/3)^2 \times (2/3)^6 = (2/3)^{(2+6)} = (2/3)^8.[/tex]

To write the answer as a power, we simply keep the same base of 2/3 and use the sum of the exponents as the new exponent. Therefore, the simplified expression is written as a power: [tex](2/3)^8[/tex]

omar worked 29 hours last month and earned $9 per hour. he spent $18 of his earnings since then. how much money does he have left??

Answers

To solve, we must find out how much he earned in the month. To do this, we do 29 x 9. This is done to find out how much was earned. Omar earned $261 in the month. Now we do 261-18 to find out how much is left after spending 18 dollars. We can see that Omar has $243 dollars remaining.

How do I describe the translation in terms of x and y?

Answers

You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'

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

In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.

For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.

Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.

Multiply. What is the value of the second partial product? 26 × 107

Answers

the product

26 x 107=2,782

Answer:

2782

Step-by-step explanation:

Two of the angles in a triangle measure 23° and 8°. What is the measure of the third angle?

Answers

bit easiest to solve when you can visualise it

The 3 inside angles of a triangle equal 180 degrees.

You are given 23 and 8 for two of them.

Subtract the 2 given angles from 180 to find the 3rd angle.

3rd angle = 180 -23 - 8 = 149 degrees.

What measures acceleration

Answers

I mean - accelerometers do, are you sure this is the correct place to post this question?

Estimate the product of 76 × 46 by rounding both numbers to the nearest ten before multiplying.

Answers

4000. 76 rounds to 80 and 46 rounds to 50 so 80 x 50 is 4000

Amy made the following conjecture: When any number is multiplied by itself, the product will be greater than this starting number.
For example: in 2x2=4, the product 4 is greater than the starting number 2.
Megan disagreed with Amy's conjecture, however,
[tex] \frac{1}{2 } \times \frac{1}{2} = \frac{1}{4} [/tex]
and
[tex] \frac{1}{4} [/tex]
is less than
[tex] \frac{1}{2} [/tex]
how could Amy's conjecture be improved? Explain the change(s) you would make

Answers

Change the conjecture to: The product of a number and itself will be greater than the number if the number is greater than one.

Amy's conjecture can be improved by including a limit.  Since any number greater than one multiplied by itself will be greater (for example, 2x2 = 4).  But, any number less than one (excluding zero, but including negatives) will yield a smaller result.


Amy's conjecture should be

"When a number greater than 1 is multiplied by itself, the product will be greater than the starting number,"

A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers


[tex]336 = x + 2x \\ 336 = 3x \\ 112 = x[/tex]
112 Adult Tickets

A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold then the number of adult tickets sold = 112

Let's denote the number of adult tickets sold as 'A' and the number of student tickets sold as 'S'.

We are given two pieces of information:

1. The total number of tickets sold is 336: A + S = 336.

2. The number of student tickets sold was two times the number of adult tickets sold: S = 2A.

Now, we can use the second equation to substitute the value of 'S' in terms of 'A' into the first equation:

A + 2A = 336.

Combine the like terms:

3A = 336.

Now, isolate 'A' by dividing both sides by 3:

A = 336 / 3.

A = 112.

So, the number of adult tickets sold (A) is 112.

In summary, to find the number of adult tickets sold, we set up equations based on the given information and then solve for the variable representing the number of adult tickets (A).

By substituting the value of 'A' back into one of the equations, we can also find the number of student tickets sold (S).

In this case, 112 adult tickets and 224 student tickets were sold to make a total of 336 tickets.

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A part of a line with endpoints on both ends is a(n):

Answers

A line with 2 endpoints is called a line segment. A line segment is- well, a segment of a line! We know that it is a segment because the endpoints make the line finite.

Answer: line segment

Step-by-step explanation:

s the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer.


The line is horizontal. The slope is 0.

The line is horizontal. The slope is 1.

The line is vertical. The slope is undefined.

The line is vertical. The slope is 0.

Answers

It is horizontal and has a slope of 0.

The equation y = 1 is a horizontal line with a slope of zero.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line or linear system is given below.

y = 1

The above equation is a horizontal line with a slope of zero.

Thus, the correct option is A.

The graph is given below.

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A web site charges $0.99 to download a game and a 12.49 membership fee.write an expression that gives the total cost in dollars to download a g games

Answers

Hello!

To write this equation we will use c to represent the total cost, and g to represent however many games you download.

c=12.49+0.99g

The constant rate is 12.49, that will never increase or change in our equation.

Depending on how many games you download, that will be the rate that affects our total cost.

If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.

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