MATHEMATICS HIGH SCHOOL

Can someone help me with question 10?

Answers

Answer 1

Answer:

Answer:

m<L = 33; m<K = 20; m<J = 127

Step-by-step explanation:

to solve we must first figure out how much each angle is

m<L = m<K + 13

m<J = 6m<K + 7

so we add them together

m<K + m<K + 13 + 6m<K + 7 = 180

combine like terms

8m<K + 20 = 180

subtract

8m<K = 160

final answer: m<K = 20

thus: m<L = 33; m<J = 127

Related Questions

An alloy weighing 40 lbs. is 10% tin. The alloy was made by mixing a 15% tin alloy and a 8% tin alloy. How many pounds of each alloy (to the nearest tenth) were used to make the 10% alloy?lbs. of the 15% alloy and lbs. of the 8% alloy.
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2), what is the equation for a parallel street that passes through (−2, 6)?A. y = 1 half x + 5 B. y - 1 half x + 1 C. y = 2x + 10 D. y = 2x − 14
Joanna went school supply shopping. She spent $26.75 on notebooks and pencils. Notebooks cost $1.85 each and pencils cost $1.38 each. She bought a total of 17 notebooks and pencils. How many of each did she buy?A. 12 notebooks; 5 pencils B. 7 notebooks; 10 pencils C. 10 notebooks; 7 pencils D. 5 notebooks; 12 pencils
Suppose that you are a manager of a clothing store and have just purchased 100 shirts for $15 each. After a month of selling the shirts at the regular price, you plan to have a sale giving 30% of the original selling price. However ,you want to make a profit of $6 on each shirt at the sale price. What should you price the shirts at initially to ensure this?
......................................

Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB?

Answers

the graph equation is in the form y = mx + c
we need to find m - gradient and c - intercept of the graph
since we have been given 2 points we know the x and y coordinates of these 2 points
point A , x = 0 and y = -4
point B , x = 6 and y = 2
substituting these x and y values in y = mx + c form
-4 = m*0 + c
-4 = c
then intercept is -4
substituting x and y in point B
2 = m * 6 + c
since c = -4
2 = 6m - 4
6m = 6
m = 1

since we know m=1 and c = -4
the equation for line AB is
y = 1*x - 4
y = x - 4

Answer: the answer is y + 4 = x

3. Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg 8ft long and the hypotenuse is 10ft long

Answers

10 squared minus 8 squared.

=36

square root 36= 6

a² + b² = c² ⇒
a² + 8² = 10² ⇒
a² = 10² - 8² ⇒
a² = 100 - 64⇒
a² = 36 ⇒
a = √36⇒
a = 6

the length of the leg is 6ft long

Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice costs $2.25 and the peaches are $0.75 each. The function f(x) = 0.75x + 2.25 represents Julie's expenses at the grocery store. What do the f(x) and the x represent?A. f(x) represents the number of items purchased at the grocery store; x represents the number of peaches purchased
B. f(x) represents the total cost of the grocery bill; x represents the cost per peach
C. f(x) represents the number of items purchased at the grocery store; x represents the cost per peach
D. f(x) represents the total cost of the groceries; x represents the number of peaches purchased

Answers

The function f(x) = 0.75x + 2.25 represents the total cost of the groceries, and x represents the number of peaches purchased. Therefore, option (D) is correct.

What is a function?

A function is a relation where every input is connected to only one possible output from a set of available inputs.

Given that, the cost of one quart of orange Julie is $2.25 and the cost of peaches is $0.75 each.

Let Julie purchase one-quarter of orange juice and x peaches, then the total cost is:

0.75x + 2.25

Hence, the function f(x) = 0.75x + 2.25 represents the total cost of the groceries, and x represents the number of peaches purchased. Therefore, option (D) is correct.

Learn more about functions:

brainly.com/question/28193995

#SPJ5

Answer:

Answer is C

Step-by-step explanation:

Starts off with F(x) is equal to, which means F(x) will be the answer to this problem, and is the total amount of money spent on the bill. the second part would be the cost per peach because it says in the equation it is $0.75 Per peach.

hope this helps!

Dilate the figure with the origin as the center of dilation.

(x,y) → (0.5x, 0.5y)

Answers

Answer:

see attached

Step-by-step explanation:

The dilation factor of 1/2 moves each point to half its previous distance from the origin.

Please help!! David is buying a new car for $21,349.00. He plans to make a down payment of $3,000.00. If he's to
make monthly payments of $352 for the next five years, what APR has he paid?
A. 5%
B. 59%
C. .05%
D. 5.9%

Answers

The correct answer for the question that is being presented above is this one: "A. 5%." David is buying a new car for $21,349.00. He plans to make a down payment of $3,000.00. If he's to make monthly payments of $352 for the next five years, the APR is 5%

How many numbers between 200 and 400 meet one or both of the conditions given in the two statements below?Statement 1: The number begins with 3
Statement 2: The number ends with 3

Answers

There are 100 numbers that begin with 3. In the other 200, there are effectively a tenth ending in 3. That is, 120 total numbers.

Other Questions

I need help!! please help urgently!There is a circular pool in the backyard with an approximate area of 113 square inches. What is the radius? A. 6 inches B. 8 inches C. 12 inches D. 36 inches

Solve.1.5 - 0.25(a + 4)= 3 + 3(0.05 - 0.5a)

A factory produced a batch of handheld video games, but 4% of the games were found to be defective. If the batch had 250 games in all, how many games in the batch were not defective?

Alicia and her friends brittany, kenji, and ellis, are taking a pottery class.the four friends have to share 3 blocks of clay .how much clay will each of them receive if they divide the 3 blocks evenly?