in the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with 80 degrees angle and the 60 degree angle. write and solve the equation to determine the measure of angle x

Answers

Answer 1
Angle x would be 40 since if you add the 2 known degrees 60 and 80 you would get 140, and since a triangle will always be 180 degrees added together and when you subtract 140 from 180 you will get 40 which will be the last angle

Related Questions

Macy wants to buy a skateboard for $42. She has $95 in her account. She spent $12.99 to buy stationary. She also wants to buy some ice cream bars for $3.07 each. What is the maximum number of ice cream bars, n, that Macy can buy so that she has enough money left to buy the skateboard

Answers

She can buy 13 ice cream bars

Answer:

She can buy 13 ice cream bars

Step-by-step explanation:

Find the value of a and z: (x^8)^3=ax^z

Answers

hello : 
(x^8)^3=ax^z
x^24 = ax^z
 so : z=24 and a= 1

An item is regularly priced at $75. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

30$ is taken off the original price 
$75 x 0.4 = $30

answer
it is discounted $30 from the regular price 

Ron is half as old as Sam, who is three times as old as Ted. The sum of their ages is 55. How old is Ron?

Answers

To find Ron's age, we set up equations based on their age relations and the total sum of their ages. After solving the system of equations, we determine that Ron is 15 years old.

The question deals with a basic age-related algebra problem. To solve for how old Ron is, we can set up a system of equations based on the information provided:

Let R represent Ron's age.

Let S represent Sam's age.

Let T represent Ted's age.

From the information:

Ron is half as old as Sam, so R = 1/2 * S

Sam is three times as old as Ted, so S = 3 * T

The sum of their ages is 55, so R + S + T = 55

Substituting the expressions for R and S in terms of T into the third equation gives:

1/2 * (3 * T) + 3 * T + T = 55

Simplifying and solving for T, we find that:

1.5T + 3T + T = 55

5.5T = 55

T = 10

Now we can find Sam's age:

S = 3 * 10 = 30

And Ron's age:

R = 1/2 * 30 = 15

Therefore, Ron is 15 years old.

Which of these is the algebraic expression for "eight less than some number?"

8 − b

b − 8

Fraction 8 over b

Fraction b over 8

best answer gets brainl;iest

Answers

b-8 would be the answer. This is because we are saying you have 8 less than something. So no matter what something is, we are taking away 8 from it. Since our something is unknown, we use our variable 'b' in its place, and subtract 8, giving us b-8.

Which equation can be used to calculate the area of the shaded triangle below? A rectangle with length of 10 feet and width 6 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.

Answers

The area of a triangle is always equal to bh/2.
Fill in the appropriate values
(10*6)/2=30 ft^2

Answer:

fraction 1 over 2 (10 × 6) = 30

Step-by-step explanation:

The sum of 38 and twice a number is 24

Answers

38 +2N = 24

2N = -14

N = -14/2 = -7

the number is -7

suppose the university bursar said that 600 student entered for business mathematics 300 entered for statistics while 173 students entered for both business mathematics and statistics how many student enrolled in the two courses altogether

Answers

The number of students who enrolled in business mathematics alone can be calculated by subtracting the number of students enrolled in both from the total number of students enrolled for business mathematics.

                                x = 600 - 173 = 427

In similar manner, we solve for the number of students enrolled for only statistics

                                 y = 300 - 173 = 127

The total number of students enrolled in two courses altogether is the sum of x and y and 173.

                                T = 427 + 127 + 173 = 727

Thus, all in all there are 727 students enrolled in the two courses.  

express 0.7033 as a mixed number

Answers

We can make 0.7033 an improper fraction by multiplying it by 10,000 to get:

7033/10,000

Note that this cannot be a mixed number because 10,000, the denominator, is greater than 7033, the numerator. 

You may have misspelled or typoed the question, or the question might be wrong, because 0.7033 can't be written as a mixed number.

0.7033 as a mixed number is 7033/10,000.

Understand that 0.7033 is a decimal number less than 1, meaning it will be represented as a proper fraction.
Since the decimal extends to four decimal places, the denominator will be ,
10,000 (as 10⁴ = 10,000).
= 7033/10,000.
The greatest common divisor (GCD) of 7033 and 10,000 is 1, meaning 7033/10,000 is already in its simplest form.

Therefore, the mixed number representation of 0.7033 is 7033/10,000.

The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle. SOME HELP WITH THIS PLEASE

Answers

Let the width be w, then the length is w+4 (in).

The area of the rectangle is [tex]A=w(w+4)= w^{2}+4w [/tex].

The perimeter of the rectangle is: 

P = 2(Width + Length)=2(w+w+4)=2(2w+4)=4w+8

"The area of the rectangle is equal to 4 inches less than 5 times the perimeter." means that:

A = 5P - 4

[tex]w^{2}+4w=5(4w+8)-4[/tex]

[tex]w^{2}+4w=20w+40-4[/tex]

[tex]w^{2}-16w-36=0[/tex]

add and subtract 64 to complete the square:

[tex]w^{2}-16w+64-64-36=0[/tex]

[tex](w^{2}-16w+64)=100[/tex]

[tex](w-8)^{2}=10^{2} [/tex]

thus w= 18 or w=-2, but the width clearly cannot be negative.

w=18, the length is 18+4 = 22 (in)

Answer:

w=18 in, l=22 in

228% of what number is 33.06

Answers

14.5 is your answer my friend :)

Mrs.Lin is planning her daughters birthday party. At parties r us the fee is $80 plus $10 per child. At birthday palace, the fee is $150 plus $5 per child. Write and solve an equation to determine how many children must be invited for the costs to be equal?

Answers

The answer is 14 kids:
80 + 10x = 150 + 5x
10x = 70 + 5x
x = 14

Check:
80 + 10 (14) = 220
150 + 5 (14) =220

Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq [/tex]x[tex] \leq [/tex] 3pi/2

Answers

this is the concept of trigonometry, by trigonometric rules:
tan 2x=[2tan x]/[1-tan^2 x]
given that tan x=7/11
then:
tan 2x=[2*7/11]/[1-(7/11)^2]
=[14/11]/[1-49/121]
=[14/11]/[72/121]
=77/36

Which expression is equivalent to radical of 10 over ^4 and the radical of 8.

Answers

√10       √5
------  = ------
4√8       8

The table below shows the values for the function y=f(1/5x)

Answers

There needs to be a table in order to solve!!

Jackson's football team lost 6 yards from their starring position and then lost another 5 yards. What number represents a loss of 6 yards? A loss of 5 yards?

On the next play, the team gains 12 yards. Will the team ne at their original starting position? Explain

Answers

the team will be 1 foot forwards. The loss of six could be -6 the loss of 5 would be -5. So adding those together wil be -11. Then add 12 for the gain and you will have an answer of 1
Final answer:

A loss of 6 yards is represented by -6, and a loss of 5 yards by -5. After losses of 6 and 5 yards, and a gain of 12 yards, the team will be 1 yard past their original starting position, not exactly back to the original position.

Explanation:

A loss of 6 yards can be represented by the number -6, and a loss of 5 yards can be represented by the number -5.

When the football team on the next play gains 12 yards, we add this value to their previous position, which results from adding -6 and -5. To determine if the team returns to their original starting position, we calculate -6 + -5 + 12. The sum of -6 and -5 is -11, then adding 12 gives 1, which means the team advances 1 yard past the original starting position, not just back to it.

Therefore, the team will not be at their original starting position after gaining 12 yards, they will be 1 yard ahead.

Please help
Thanks in advance

Answers

[tex] \frac{20}{-25+5} -2(5-10) \\ \\
\frac{20}{-20}-2(5-10) \\ \\
-1-2(5-10)\\ \\
-1-2(-5)
\\ \\-1+10
\\ \\9
[/tex]

Final answer: 9

You are selling items from a catalog for a school fundraiser.Write and solve two inequalities to find the range of sales that will earn you between $40 and $50. Earn $5 for every $50 in sales!

Answers

You earn $5 per every 50 dollars

You want between 40 and 50, so you want $45

45/5=9

You will need to sell $50 worth of stuff 9 times

9*50=450

you need to sell $50 worth of catalog items
Final answer:

To find the range of sales that will earn you between $40 and $50, you can set up two inequalities and solve them to find the minimum and maximum sales required.

Explanation:

To find the range of sales that will earn you between $40 and $50, we can set up two inequalities.

First, let's find the minimum sales required to earn $40. We can use the inequality 5x >= 40, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be greater than or equal to $40.

Next, let's find the maximum sales required to earn $50. We can use the inequality 5x <= 50, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be less than or equal to $50.

To solve these inequalities:

For the first inequality, divide both sides by 5, giving us x >= 8. This means the minimum sales required to earn $40 is $8.

For the second inequality, divide both sides by 5, giving us x <= 10. This means the maximum sales required to earn $50 is $10.

Therefore, the range of sales that will earn you between $40 and $50 is $8 to $10.

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How do I solve this problem: -2(7-y)+4=-4?

Answers

-2(7-y)+4=-4

-2(7-y) = - 8
7 - y = = 4
     y = 7 - 4 
     y = 3
There are a few rules to follow when solving algebraic equations.

1. Use the distributive property.

If there is any parentheses in your equations, you can simplify them with the distributive property.

a(b + c) = ab + ac

2. Combine like terms.

Make sure to combine all like terms on both sides of the equation.

3. Use The Addition Principle of Equality if needed.

The Addition Principle of Equality states that if you add an expression to both sides of the equation, you will get a second equation that is equivalent to the original equation. Or in other words, they will both have the same solution set.

4. Use The Multiplication or Division Principle of Equality if needed.

Similar to the above rule. If you multiply or divide both sides of an equation with the same expression, the resulting equation will have the same solution set as the original equation.

Now that I showed you the rules necessary to solve an algebraic equation, let's solve the one you asked us to solve.

-2(7 - y) + 4 = -4

I see parentheses and we can use the distributive property to get rid of them.

-2(7 - y) + 4 = -4
-14 + 2y + 4 = -4

On the left-hand side, we have like terms that we can combine.

-14 + 2y + 4 = -4
-10 + 2y = -4

Now use The Addition Principle of Equality by adding 10 to each side of the equation.

-10 + 2y + 10 = -4 + 10
2y = 6

Awesome! The -10 constant term disappeared on the left-hand side.

Finally, use The Multiplication or Division Principle of Equality.

Divide both sides by the coefficient of the term 2y.

2y / 2 = 6 / 2
y = 3

So, y is equal to 3.

The game stop is having a sale and all games are reduced by 55%. If a game is now $29.99, what was the original price? Round your answer to the nearest cent

Answers

you would do 30/.55 and you get $54.55

The total charge on 6 particles is -48 units. All the particles have the same charge.

What is the charge on each particle?

Answers

To determine what the charge would be simply perform or treat this question as a proportional type of question.

6 particles ( n charge) = -48 units
1 particle ( n charge) = ?

6n = -48
n = -8.

Each particle has a charge of -8 units. This is how 6 of them gives a total charge of -48 units.

Jean has 1/3 cup of walnuts for each serving of salad she makes. She has 2 cups of walnuts. How many serving can she make?

Answers

1/3 cup per servings mean 3 servings per cup
3 servings x 2 cups= 6 servings total 
6. 2 divided by 1/3 is 6

what would be the value of 150 after eight years if you earn 12 percent interest per year

Answers

The answer depends on what type of interest. If you are using compound interest, then the interest is different every year, as the amount you earn goes up because the amount you have in the bank goes up. Simple interest is the opposite, as you earn one amount each year, and it does not change.
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371

Answer:

$371.3944

Step-by-step explanation:

Principal = 150

Time = 8 years

Rate of interest = 12% = 0.12

No. of compounds per year = n = 1

Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the amount

P is the principal

r is the rate of interest in decimals

t = time in years

n = no. of compounds per year

Substitute the values in the formula :

[tex]A=150(1+\frac{0.12}{1})^{8}[/tex]

[tex]A=371.3944[/tex]

Hence the value of 150 after eight years if you earn 12 percent interest per year is $371.3944

Consider the following set of equations: Equation M: 3y = 3x + 6 Equation P: y = x + 2 Which of the following best describes the solution to the given set of equations? No solution One solution Two solutions Infinite solutions

Answers

3y = 3x + 6....reduce by dividing by 3
y = x + 2

notice how that is exactly the same as the 2nd equation.
This means they are the same line and will have infinite solutions

Answer:

I'm answering for other guy brainliest

Step-by-step explanation:

but if you still want to know, its infinite solutions

Gideon made two errors in the proof. Identify and correct the errors

Answers

Should there be more to this? I can't figure out what you're asking

Answer:

Identify: Step 6 and step 7

Correction:

I think step 6 is just not necessary and should be removed.  

And step 7 should be the transitive property of equality not the Substitution Property of Equality

Richard had a balance of −$322.25 in his account, and Scott had a balance of −$241.75 in his account. Which statement explains why Richard owes the bank more than Scott?

Answers

Richard spent more, he has a larger negative amount.

Answer: The answer is B if you don't know what B is here:

|–322.25| > |–241.75| is the correct answer.

Hope this helps!

Step-by-step explanation:

HELP PLEASE!!1!

Part A
First, take a look at Preston’s sequence. How does a 180-degree rotation about the origin change the coordinates of a shape?
How does a translation 7 units up change the coordinates of a shape?
Now look at Chanel’s sequence. How does a reflection across the x-axis change the coordinates of a shape?


please, help me

Answers

180° rotation about the origin change the coordinates from (x,y) to (-x,-y). In this exercise:

A = (-4, 5) -> (4, -5)  

B = (-3, 1) -> (3, -1)

C = (-5, 2) -> (5, -2)

Translation 7 units up change the coordinates from (x, y) to (x, y+7). Continuing with the exercise:

(4, -5) -> (4, 2)

(3, -1) -> (3, 6)

(5, -2) -> (5, 5)

Which are not the coordinates of triangle DEF.

Reflection across the x-axis change the coordinates from (x, y) to (x, -y). In this exercise:

A = (-4, 5) -> (-4, -5)  

B = (-3, 1) -> (-3, -1)

C = (-5, 2) -> (-5, -2)

In 180 rotation (x,y) becomes (-x,-y) , In translation 7 units (x, y) becomes (x, y+7) and in reflection across  x-axis (x, y) becomes (x, -y).

180° rotation about the origin change the coordinates from (x,y) to (-x,-y). It means if an object having coordinates (3,4) then it will be (-3,-4).

Translation 7 units up change the coordinates from (x, y) to (x, y+7). It means if an object having coordinates (3,4) then it will be (3,4+7).

Reflection across the x-axis change the coordinates from (x, y) to (x, -y). It means if an object having coordinates (3,4) then it will be (3,-4).

Hence we can summarize the above phenomenon as in 180 rotation (x,y) becomes (-x,-y) , In translation 7 units (x, y) becomes (x, y+7) and in reflection across  x-axis (x, y) becomes (x, -y).

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Bart takes a random sample of 50 students in his seventh grade class and finds that 40% of the sample prefers chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion , How many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream??????

Which answer is correct 40,80,50,200

Answers

40% of 50 is 20.  So, 20/50 students who take the random sample prefer chocolate over vanilla ice cream.  In order to find the number of students who prefer chocolate over vanilla ice cream out of 200 students in total, it is best to set up a proportion.  Here:  20/50=x/200.  Once you solve the proportion you will get x as 80.

Hope the explanation helped!

The number of students in the seventh grade would prefer chocolate ice cream over vanilla ice cream is 80

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

If 40% of the sample of 50 students prefer chocolate ice cream, we can use that percentage to estimate the number of students who prefer chocolate ice cream out of the entire seventh-grade class of 200 students.

40% of 50 = (40/100) x 50 = 20 students in the sample prefer chocolate ice cream.

On simplifying the proportion , we get

To estimate the number of students in the entire seventh-grade class who prefer chocolate ice cream, we use the same percentage:

40% of 200 = (40/100) x 200 = 80 students in the seventh grade are expected to prefer chocolate ice cream over vanilla ice cream.

Hence , based on the sample proportion, we can estimate that 80 students in the seventh grade would prefer chocolate ice cream over vanilla ice cream.

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A graph is shown below:

A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line

What is the equation of the line in slope-intercept form?

y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3

Answers

The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:

b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3

So, the equation of the line would be y = -3x + 36.

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest tenth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

The volume of a cylinder with respect to its diameter is:

V=(hπd^2)/4, and we are told that the height is 3r, r=d/2, so 3r=3d/2=h

V=(3d/2)(πd^2)/4

V=(3πd^3)/8, we know d=10 so

V=3000π/8

V=375π in^3, lastly we are told to approximate π≈3.14 so

V≈375(3.14) in^3

V≈1177.5 in^3

The volume of the cylinder is  1177.5 cubic inches.

Given that the diameter of the cylinder is 10 inches, the radius r is half of that, so [tex]\( r = \frac{10}{2} = 5 \)[/tex] inches.

The height h is three times the radius, so [tex]\( h = 3r = 3 \times 5 = 15 \)[/tex] inches.

Now, we can substitute these values into the formula for the volume of a cylinder:

[tex]\( V = \pi r^2 h \)\\ \( V = 3.14 \times (5)^2 \times 15 \)\\ \( V = 3.14 \times 25 \times 15 \)\\ \( V = 3.14 \times 375 \)\\ \( V = 1177.5 \) cubic inches.[/tex]

Rounded to the nearest tenth.

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