Mathematics Middle School

Find the value of k. Give your answer in degrees.

Answers

Answer 1

Answer is 25 degrees.

Answer 2

Answer:

k=12

Step-by-step explanation:

Top left angle is 84 degrees also, due to alternate interior angles cut by the transveral.

2 sides are congruent, leaving bottom left corner angle also 84 degrees.

Write an equation to solve for k:

84+84+k=180

simplify

168+k=180

subtract 168 from both sides

k=12

Hope this helps! :)

Related Questions

Two business partners decided to borrow $30,000 start-up money for their business. One borrowed a certain amount at a 16.5% interest rate and the other one borrowed the rest of the money at a 12.5% interest rate. How much money did each business partner borrow if the total interest amount at the end of the year was $4150?

Answers

Answer:

Step-by-step explanation:

Let's assume the first business partner borrowed x dollars and the second partner borrowed (30000 - x) dollars.

The interest earned by the first partner at a rate of 16.5% is (x * 0.165), and the interest earned by the second partner at a rate of 12.5% is ((30000 - x) * 0.125).

According to the given information, the total interest earned by both partners is $4150. So, we can write the equation:

(x * 0.165) + ((30000 - x) * 0.125) = 4150

Now, let's solve this equation to find the values of x.

0.165x + 0.125(30000 - x) = 4150

0.165x + 3750 - 0.125x = 4150

0.04x = 400

x = 400 / 0.04

x = 10000

Therefore, the first business partner borrowed $10,000 at a 16.5% interest rate, and the second partner borrowed (30000 - 10000) = $20,000 at a 12.5% interest rate.

Let's call the amount borrowed by the business partner at 16.5% "x" and the amount borrowed by the other business partner "y".

We know that the total amount borrowed is $30,000, so:

x + y = $30,000

We also know that the interest earned by the first business partner is 16.5% of x, and the interest earned by the second business partner is 12.5% of y.

So the total interest earned for the year is:

0.165x + 0.125y = $4150

We now have two equations with two unknowns, which we can solve for x and y.

First, let's isolate one of the variables in the first equation:

x = $30,000 - y

Now we can substitute this expression for x into the second equation:

0.165($30,000 - y) + 0.125y = $4150

$4,950 - 0.165y + 0.125y = $4150

Combine like terms:

-0.04y = $4150 - $4,950

-0.04y = -$800

Divide both sides by -0.04 to isolate y:

y = -$800 / -0.04

y = $20,000

Now that we have the value of y, we can substitute it back into the first equation to find x:

x + $20,000 = $30,000

x = $30,000 - $20,000

x = $10,000

So, the amount borrowed by the first business partner is $10,000, and the amount borrowed by the second business partner is $20,000.

Five friends equally share 20 strawberries. How many strawberries does each friend get

Answers

Answer:

each will get 4 strawberries

Step-by-step explain:

20÷5=4

4 Strawberries per friend!

Maxwell invested a total of $100,000. He invested his money in three different accounts. He invested $35,000 at 10% annual interest rate, $42,000 at 8% annual rate, and the remainder at 14% interest rate. How much interest did Maxwell receive in one year?

Answers

Step-by-step explanation:

Sure! Here's the step-by-step calculation:

1. Calculate the interest earned on the first investment:

$35,000 * 10% = $3,500

2. Calculate the interest earned on the second investment:

$42,000 * 8% = $3,360

3. Calculate the amount invested in the third account:

Total investment - (First investment + Second investment)

$100,000 - ($35,000 + $42,000) = $23,000

4. Calculate the interest earned on the third investment:

$23,000 * 14% = $3,220

5. Add up the interest earned from all three investments:

$3,500 + $3,360 + $3,220 = $10,080

Therefore, Maxwell received $10,080 in interest in one year.

The answer is 10,080.

Please answer the bottom question please (the cylinder question)! The first one has been answered already.

Answers

Answer:7,065

Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14

The answer to the question is 7,065

(CORRECT GETS BRAINLIEST) From the information in the graph, what is the mode number of books the girls read? A.3 B.4 C.5 D.6

Answers

The mode number of books the girls read is 5.

What is the mode?

The mode is a number which appears most often in a set of numbers and in a data set.

Given the question above, we need to find the mode number of books the girls read.

Since 5 girls read the books, we can conclude that the mode is 5.

Thus. the mode number of books the girls read is 5.

Learn more about the mode at:

https://brainly.com/question/30093741

The correct answer is C 5

Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.

Answers

Answer:

The equation is: [tex]5c-2=9[/tex]

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

[tex]5c-2=9[/tex]

5•C-2=9 would be the equation

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