If two parallel lines are cut by a transversal and corresponding angles measure 10x – 1 and 8x + 21, what is the value of x?

Answers

Answer 1
Since corresponding angles are congruent:

10x -1 = 8x + 21
-8x        -8x
2x -1 = 21
    +1   +1
2x = 22
x = 11

Hope this helps!

Related Questions

what is the product of g and 7???

Answers

7 •g = 7g
Product always refers to a multiplication problem. So the product of g and 7 is 7g.

The product of the variables g and 7 is written as 7g.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the numbers are g and 7. The product will be written as,

Product = 7 x g

Product = 7g

Here, g is the variable and for different values of 'g', the formula will give the different values of the product.

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What is the slope of the x axis

Answers

Answer: Zero slope

Step-by-step explanation: Since the x-axis is horizontal, it has a slope of 0. In fact, for any horizontal or flat line, the slope is always 0.

The variable that's used to represent slope is m. So in this problem, we would say that m = 0.

A delivery driver earns a fixed amount for each delivery she makes, and yesterday her average hourly wage was $16.50 an hour. If she worked 6 hours yesterday and made 11 deliveries, how much does she earn for each delivery made? A. $9.90 B. $5.50 C. $5.00 D. $9.00

Answers

The answer is D. $9.00
$16.50 x 6 = $99
so 99 divided by 11 is 9
Answer:

Option D - The driver earned $9 for each delivery.

Step-by-step explanation:

Given scenario is :

Hourly wage for the driver = $16.50

Total number of hours worked in a day = 6

So, total earning for the day = [tex]16.50\times6=99[/tex] dollars

Now, she made 11 deliveries in $99

So, each delivery cost = [tex]\frac{99}{11}=9[/tex]

Hence, the driver earned $9 for each delivery.

Solve the equation for x. (Round your answer to three decimal places.) arctan(4x − 4) = -1

Answers

take the inverse arctan on both sides:

4x-4 = tan(-1)

4x-4 = -0.01745

4x = 3.98255

x = 3.9255 / 4

x = 0.996


Factor −1/2−1/2 out of −1/2x+6.

Answers

Final answer:

To factor out -1/2 - 1/2 from -1/2x + 6, multiply -1/2 by the expression inside the parentheses and distribute. Then, simplify and combine like terms to get the factored form: -3/2x - 6.

Explanation:

To factor out -1/2 - 1/2 from -1/2x + 6, you can rewrite the expression as (-1/2) * (x + 2(6)). Then, distribute to get (-1/2)x - (1/2)(2) * (x + 2(6)). Simplify further to get (-1/2)x - x - 6. Finally, combine like terms to get (-1/2 - 1)(x) - 6. Therefore, the factored form of the expression is -3/2x - 6.

G how many distinct ordered arrangements of the letters of the word boogaboo can be made?

Answers

In the word "boogaboo", there are eight (8) letters while there are only four distinct letters. The number of distinct ordered arrangements can be calculated through the equation,

            n = 8!/(2!)(4!)

where there are 2 letter b's and 4 letter o's. The answer to this item is 840.

Answer: 840

complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 divided by 3/8

Answers

Multiplying is the opposite of dividing, so that's why you multiply it by the reciprocal.
1. 1/4 ÷ 3/8 is equivalent to 1/4 × 8/3
2. 1/3 × 8/3 = ?
3. 1 × 8 = 8
4. 3 × 3 = 9

Mary made 1/8 of a batch of cookies in 1/10 pf an hour. How much time will she need to make 1 full batch of cookies?

Answers

Mary will need 48 minutes to make a full batch of cookies, as determined by setting up a proportion and then converting hours to minutes.

Mary made 1/8 of a batch of cookies in 1/10 of an hour. To find out how long it will take to make a full batch, we set up a proportion based on the information given. Since 1/8 of a batch takes 1/10 of an hour, we want to find out the time for 8/8 (a full batch), which is equivalent to 1.

Setting up the proportion, we can say that 1/8 of a batch is to 1/10 of an hour as 1 full batch (8/8) is to X hours:

1/8 batch : 1/10 hour = 1 batch : X hours

To solve for X, we multiply 1/10 by 8 because there are 8 parts of 1/8 in a full batch:

1/10 hour * 8 = 8/10 hours

Reducing the fraction 8/10, we get:

8/10 = 4/5 hours

To convert 4/5 of an hour to minutes, we multiply by 60:

4/5 hour * 60 minutes/hour = 48 minutes

Therefore, Mary will need 48 minutes to make 1 full batch of cookies.

Which of these equations have no solution? Check all that apply.  A    2(x + 2) + 2 = 2(x + 3) + 1        B   2x + 3(x + 5) = 5(x – 3)         C  4(x + 3) = x + 12      D    4 – (2x + 5) = (–4x – 2)         E   5(x + 4) – x = 4(x + 5) – 1

Answers

Answer: A,B,E

Step-by-step explanation:

I just got done with the assignment and that was the answer

Find a line perpendicular to – 5 x – 4 y = 19 that passes through ( – 5 , 11 )

Answers

Solve  – 5 x – 4 y = 19   for y to obtain the slope:  -5x - 19 = 4y, and so
the slope is (-5/4).

A line perpendicular to – 5 x – 4 y = 19  must have a slope which is the negative reciprocal of this (-5/4).  That would be (+4/5).

Using the point-slope form of the eqn of a str line:

y-11 = (4/5)(x-[-5]), or   (4/5)(x+5).  This could, of course, be written in other (but equivalent) forms.

compute the following 8c2•5c2

Answers

The question that we are given to compute is 8c² × 5c². Since this is multiplication, we can straight up multiply 8 and 5 to get 40. Now, we multiply c² by itself to get c⁴. Therefore, when we combine our products together, we get 40c, which is your answer. Hope this helped!

The computation of 8C2•5C2 results in 280

The student asked: 'compute the following 8c2•5c2'.

We can solve this using the combinations formula, where nCr = n! / [r!(n-r)!].
 Compute 8C2.-
 8C2
 = 8! / [2!(8-2)!]
 = (8*7) / (2*1) = 28.
 Compute 5C2.
 5C2
= 5! / [2!(5-2)!]
= (5*4) / (2*1) = 10.
  Multiply the results.
  28 * 10 = 280.

Hence, the value of 8C2 • 5C2 is 280.

the mean age of a dance troupe is 14.2 years. A 7-year-old sibling is invited to join the troupe. How does the sibling’s age affect the mean?

A. The new mean age will be 10.6 years.
B. The new mean age will be greater than 14.2 years.
C. The new mean age will be less than 14.2 years.
D. The new mean age will still be 14.2 years.

Answers

The correct answer is c.  There is no possible way to know how much the mean age decreases, but we know it definitely will (averages decrease as values less than the average are added to the data.) 

The new mean age will be less than 14.2 years.

What is mean?

There are several kinds of mean in mathematics, especially in statistics. For a data set, the arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.

According to questions, the mean age of a dance troupe is 14.2 years.

A 7-year-old sibling is invited to join the troupe.

We have to find how does the sibling’s age affect the mean.

There is no possible way to know how much the mean age decreases.

But the new mean age will decrease definitely.

Hence we can conclude that Option C is correct answer.

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Write the decimal 0.326 in to other forms

Answers

0.326

to get percent, move the decimal point over two spaces to the right:
32.6%

to get fraction, put it over 100 by moving the decimal spaces two to the right:
32.6/100

To get a fraction that is not include a decimal, write it over 1000 (at this case:
326/1000

hope this helps
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