∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.

Answers

Answer 1

Answer:

it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer

Step-by-step explanation:

Answer 2

The value of x for the given vertical angles is given as 25.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The pair of vertical angles are given as below,

∠A = (7x - 8)°  and ∠B = (6x + 17)°.

Since, pair of vertically opposite angles are equal.

It implies that ∠A = ∠B.

⇒ 7x - 8 = 6x + 17

⇒ 7x - 6x = 17 + 8

⇒ x = 25

Hence, the value of x can be obtained as 25.

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Related Questions

the temperature at noon was -3°C. By 10 Pm on the same day the temperature decrease by 5.4° what was the temperature at 10 pm​

Answers

Answer:

-8.4

Step-by-step explanation:

Answer:

Probbly -8.4

Step-by-step explanation:


Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.

Answers

Answer:

30 pages

Step-by-step explanation:

Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.

HURRY PLEASE 2020 2021 T-Math-Geo T1-CIT: Section 2 - Calculator Section
Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment

Answers

Answer:

the answer is a line segment :)

How do you check if a number is rational?
How do you check if a number is irrational?



Thanks!

P.S. 50 points & brainiest to whoever answer first!

Answers

Answer:

well it's really simple

Step-by-step explanation:

So the quick and dirty tip for checking whether a number is rational or irrational is to write it in decimal form. If the decimal goes on and on forever and never stops or begins to repeat predictably, it’s irrational. If the decimal stops after a finite number of digits or begins to repeat predictably, it’s rational.

Any number that is able to be written down as a fraction/ratio is a ration number.

An irational number is a number hat has a decimal, but can't be written as a fraction. Ex: Pi/π

Which number has the lowest value?
A1/5B0.25C0.21D1/3

Answers

Answer:

A

Step-by-step explanation:

Answer:1/3 is bigger

Step-by-step explanation:

Solve the following system of equations for X..
3x – 2y = 8
2x + 2y = 7
Help
A)3
B)-3
C)15
D)1

Answers

Answer:

x  =  3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

X would be -3so therefore it’s x-3

Given the graph of h.
Solve for x: h(x) = -2 .

Answers

Answer:

{-3, -1}

Step-by-step explanation:

We want to find the value of x when the value of the graph is -2

h(x) = -2 when  x=1 and x = -3

{-3, -1}

Simplify the expression 4x+3(5y+x

Answers

Answer:

Step-by-step explanation:

4x + 3(5y + x)

= 4x (5y + x) + 3 (5y + x)

= 20xy + 4x² + 15y + 3x

Does anyone know this question?

Answers

answer: angle 5 is a 110 degree angle
explanation: angles 3 and 5 are same side interior angles, making them supplementary to each other

The number of students in a chess club decreased from 16 to 12. What is the percent decrease ? Round to the nearest percent.

Answers

Answer:

25% decrease

- Trust me it's right

Which equation represents a line that is perpendicular to the line on the graph ? O y = - 4x + 3 O O y = - 1/4 * x + 1 y = 1/4 * x - 2 O O y = 4x + 4

Answers

Answer:

D

Step-by-step explanation:

Answer

Its  C notD!!!!!!

Step-by-step explanation:

The other person is wrong im right

You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32. You have one bag of each fruit. Each fruit basket must be identical. What is the greatest number of fruit baskets that you can make using all of the fruit? *

Answers

Answer:

4 fruit baskets.

Step-by-step explanation:

Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.

How many ways can a delegation of 55 Republicans, 22 Democrats, and 33 Independents be selected from a group of 99 Republicans, 33 Democrats, and 44 Independents?

Answers

Answer:

[tex]C(99,55)\,C(33,22)\,C(44,33)[/tex]

Step-by-step explanation:

A permutation refers to arrangement of the objects or numbers in order.  Combinations refers to selecting the objects or numbers from a group of objects or collection such that the order of the objects does not matter.

A delegation of 55 Republicans, 22 Democrats, and 33 Independents is selected from a group of 99 Republicans, 33 Democrats, and 44 Independents.

So,

Number of ways [tex]=C(99,55)\,C(33,22)\,C(44,33)[/tex]

Why did karen take the kids (;´༎ຶД༎ຶ`)

Answers

haha life question right there

Wait Jimmy what are you doing here I didn't expect this

so we meet again, brother.

Answer:

Because Karen found your briefcase of $1 bills and some crusty socks.

Get over the divorce Jimmy, she doesn't like fax machines.

On average, Carson saves about 53% of his allowance each month. When creating a circle graph of what Carson does
with his money, which of the following fractions would be the best to represent how much he saves?
1/2 1/4 3/10. 3/4

Answers

Answer:

1/2

Step-by-step explanation:

1/2 would be the best fraction to represent how much he saves.


Solve -2(2x + 5) - 3 = -3(x - 1).

Answers

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

What is distributive property?

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

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f(x) = x2. What is g(x)?

Answers

Answer:

B. g(x)=(2x)^2

Step-by-step explanation:

this is right

Jill has not been able to maintain the $1,000 minimum balance required to avoid fees on her checking account. She wants to switch to a different account with a fee of $0.20 per check and a $12.50 monthly maintenance fee. Jill wants to estimate the fees for her new account. Below is a summary of the checks she has written from May to August. What is the mean number of checks Jill wrote per month during the last four months? Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account. Estimate the total monthly fees Jill will pay each month for the new checking account.

Answers

Step-by-step explanation:

 Kindly find attached a summary of the checks she has written from May to August.

A. What is the mean number of checks Jill wrote per month during the last four months

mean= (14+19+23+24)/4

mean= 80/4

mean= 20 checks

B.  Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account.

the expression for the total is given as

y=12.50+0.2x

y=12.50+0.2(20)

y=12.50+4

y=16.5

=$16.5

C. Estimate the total monthly fees Jill will pay each month for the new checking account.

May= 12.50+0.2(14)

May=12.5+2.8= 15.3

June= 12.50+0.2(19)

June=12.5+3.8= 16.3

July= 12.50+0.2(23)

July=12.5+4.6= 17.1

August= 12.50+0.2(24)

August=12.5+4.8= 17.3

total will be = 15.3+16.3+17.1+17.3= $66

A:20

B:$4.00

C:$16.50

A: 14+19+23+24/4 = 20

B: 20/.2 = 4

C: 12.50+4= 16.50

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-10x^2+600x-3588
y=−10x
2
+600x−3588

Answers

Answer:

Step-by-step explanation:

The maximum profit will be found in the vertex of the parabola, which is what your equation is. You could do this by completing the square, but it is way easier to just solve for h and k using the following formulas:

[tex]h=\frac{-b}{2a}[/tex] for the x coordinate of the vertex, and

[tex]k=c-\frac{b^2}{4a}[/tex] for the y coordinate of the vertex.

x will be the selling price of each widget and y will be the profit. Usually, x is the number of the items sold, but I'm going off your info here for what the vertex means in the context of this problem.

Our variables for the quadratic are as follows:

a = -10

b = 600

c = -3588. Therefore,

[tex]h=\frac{-600}{2(-10)}=30[/tex] so the cost of each widget is $30. Now for the profit:

[tex]k=-3588-(\frac{(600)^2}{4(-10)})[/tex] This one is worth the simplification step by step:

[tex]k=-3588-(\frac{360000}{-40})[/tex] and

k = -3588 - (-9000) and

k = -3588 + 9000 so

k = 5412

That means that the profit made by selling the widgets at $30 apiece is $5412.

Hence,the profit made by selling the widgets at $[tex]30[/tex] apiece is $[tex]5412[/tex].

What is the maximum profit?

Maximum profit, or profit maximisation, is the process of finding the right price for your products or services to produce the best profit.

Here given that,

A company sells widgets. The amount of profit, [tex]y[/tex], made by the company, is related to the selling price of each widget, [tex]x[/tex], by the given equation.

As the maximum profit found in the vertex of the parabola,

Here, [tex]x[/tex] will be the selling price of each widget and [tex]y[/tex] will be the profit.

The number of items sold is [tex]x[/tex].

So, the quadratic equation is:-

[tex]a = -10b = 600c = -3588.[/tex]

Therefore, so the cost of each widget is $[tex]30[/tex].

For the profit:-

[tex]k = -3588 - (-9000) andk = -3588 + 9000 sok = 5412[/tex]

Hence,the profit made by selling the widgets at $[tex]30[/tex] apiece is $[tex]5412[/tex].

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The frequency of the red eyes (p allele) in fruit flies is 63% what is the frequency of the white eye allele (9 allele)?

37%

47%

57%

23%

Answers

Answer:

[tex]q = 37\%[/tex]

Step-by-step explanation:

Given

Red Eyes

[tex]p = 63\%[/tex]

Required

Determine Frequency of White Eyes (q)

In probability;

[tex]p + q = 1[/tex]

Make q the subject

[tex]q = 1 - p[/tex]

Substitute 63% for p

[tex]q = 1 - 63\%[/tex]

[tex]q = 37\%[/tex]

Answer:

37%

Step-by-step explanation:

Find the value of x.

Answers

Answer:

12

Step-by-step explanation:

1. the rule: 3:6=6:x;

2. if 3/6=6/x, then x=12.

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

Answers

Answer:

[tex]5\leq x\leq 40[/tex]

Here, [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far

Step-by-step explanation:

Number of cookies made by Walter so far = 15

He is asked by his coach to make at least 20 cookies but no more than 55.

Let [tex]x[/tex] denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.

The inequality is [tex]20\leq x+15\leq 55[/tex]

Now solve this inequality.

[tex]20\leq x+15\leq 55\\20-15\leq x\leq 55-15\\5\leq x\leq 40[/tex]

Answer: a

Step-by-step explanation: because its right

How do we know if a function is a parabola like for instance, this one x^2 + x?

Answers

There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

this is really easy promise

Answers

Answer:

A.) slope= 4 and y intercept= 3

Step-by-step explanation:

y = x4+3

Answer:

y = x4+3

Step-by-step explanation:

look at answer

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

Answers

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

1 and 3 would both be correct

Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.

Answers

Answer:

[tex]JK = 2[/tex]

Step-by-step explanation:

Given:

[tex]JK = 2x[/tex]

[tex]IJ = 5x[/tex]

[tex]IK = x + 6[/tex]

Required

Solve for JK.

Since J is on IK, we have:

[tex]IK = IJ + JK[/tex]

[tex]x + 6 = 5x + 2x[/tex]

[tex]x + 6 = 7x[/tex]

Collect Like Terms

[tex]7x - x = 6[/tex]

[tex]6x = 6[/tex]

Solve for x

[tex]x = 6/6[/tex]

[tex]x = 1[/tex]

Substitute 1 for x in [tex]JK = 2x[/tex]

[tex]JK = 2 * 1[/tex]

[tex]JK = 2[/tex]

What is the leading coefficient of a third degree polynomial function that has an output of 1,272 when x=2, and has zeros of −6, 7i, and −7i?

Answers

Answer:

The leading coefficient is 3

Step-by-step explanation:

Polynomials

Given the roots of a polynomial x1,x2,x3, it can be expressed as:

[tex]p(x)=a(x-x1)(x-x2)(x-x3)[/tex]

Where a is the leading coefficient.

We are given the roots x1=-6, x2=7i, x3=-7i, thus:

[tex]p(x)=a(x+6)(x-7i)(x+7i)[/tex]

Operating the product of the conjugated imaginary roots:

[tex]p(x)=a(x+6)(x^2+49)[/tex]

Knowing p(2)=1,272 we can find the value of a

[tex]p(2)=a(2+6)(4+49)=1,272[/tex]

Operating:

[tex]a(8)(53)=1,272[/tex]

[tex]424a=1,272[/tex]

Solving:

[tex]a=1,272/424[/tex]

a=3

The leading coefficient is 3

Answer:

3

Step-by-step explanation:

QUESTION 16

What is the value of m If the ratios 3:18 and m:42 are in

proportion?

Answers

Answer:

[tex]m = 7[/tex]

Step-by-step explanation:

Given

[tex]3:18 = m:42[/tex]

Required

Solve for m

[tex]3:18 = m:42[/tex]

Convert to fraction

[tex]\frac{3}{18} = \frac{m}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{3}{18} = \frac{m}{42} * 42[/tex]

[tex]42 * \frac{3}{18} = m[/tex]

[tex]m = 42 * \frac{3}{18}[/tex]

[tex]m = \frac{42 * 3}{18}[/tex]

[tex]m = \frac{126}{18}[/tex]

[tex]m = 7[/tex]

I NEED THIS ANSWER QUICK PLEASE!!!!!!!!!!
During the first hour of a snowstorm, 1 2/8 inches of snow fell. In the next hour, 4 3/8 inches fell. In the third hour, the snow stopped and 1 inch of snow melted. How much snow was on the ground at the end of the third hour?

Answers

Answer:

1 + 4 = 5

4/8 +3/8 = 7/8

5 7/8 - 7/8 = 5 inches left on the ground after 3 hours

Step-by-step explanation:

What does reflecting over each axis do to a function algebra 2

Answers

Gggggghhhhhbhhjnjjnjjjjjjjjjjjjjkk
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