In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle.

In Triangle JKL, If Angle J Is Seven Less Than Angle L And Angle K Is 21 Less Than Twice Angle L, Find

Answers

Answer 1

Answer:

L = 52°

J = 45°

K = 83°

Step-by-step explanation:

J = L - 7

K = 2L - 21

J + K + L = 180°

∴ (L - 7) + (2L - 21) + L = 180

4L - 28 = 180

4L = 208

L = 52°

J = 52 - 7 = 45°

K = 2 x 52 - 21 = 83°


Related Questions

A shirt that normally cost $30 is on sale for $21.75 what percent of the regular price is the sale price

Answers

Answer:

it on sale for 27%

Step-by-step explanation:

Part A The year in which the US Civil War ended was 25 percent later than the year Christopher Columbus set sail from Spain. If c represents the year Columbus set sail, we can write the year the Civil War ended as C +0.25c. Rewrite this expression as a single term.​

Answers

Answer:

0.25 c to the second

Step-by-step explanation:

i think

Solve for x:
7x(x+1.8)=0

Need help ASAP.

Answers

Answer:

i got you

Step-by-step explanation:

for x1= -1.8 and x2=0

Answer:

x=0;x=-1.8

Step-by-step explanation:

both are the answer

Help plzz I think it’s a but I’m not sure

Answers

Answer:

A

Step-by-step explanation:

Over two years, how much more will a savings account with a simple interest rate of 4.2% yield in earnings than a savings account with a simple rate of 3.5% if the original balance of both accounts is $2,200?

Answers

it would be $30.80 more

What is the mapping notation that will transform triangle ABC to triangle A'B'C'?
A.(x + 2,y - 14)
B.(x - 4, y - 8)
C.(y, -x)
D.(-y, x)

Answers

Answer:

The transformation is (y,-x)

Step-by-step explanation:

To know the mapping notation, we need to know the coordinates of the image and the pre-image

For the pre-image, we have;

A(3,8)

B(6,8)

C(6,2)

For the image, we have

A’( 8,-3)

B’ (8,-6)

C’ (2,-6)

So let us try and get the transformation from the coordinates

We can see that this is;

(x,y) to (y,-x)

Select all the systems of equations that have exactly one solution.
y = 3x + 1, y = -3x + 7
y = 3x + 1, y = x + 1
y = 3x + 1, y = 3x + 7
x + y = 10, 2x + 2y = 20
x+ y = 10, x + y = 12 ​

Answers

Step-by-step explanation:

y=3x+1, y= -3x+7

y=1,X=1

X+y=10,2x+2y=20

X=5, y=5

I need help please i will give u brainliest

Answers

Answer:

It's 1/6

Step-by-step explanation:

all you have to do is multiply the answer by 1/3 so 1/3 times 1/2 equals 1/6 so your answer is 1/6

For an end-of-year party, Ms. Carter purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.

Based on this information, what is the greatest number of students that Ms. Carter can have in her class?

Answers

Example 1: One-Step Inequalities

A bag of candy is split between us and our little brother. The bag says it has at most 28 pieces of candy in it. There are 15 candies in our bag, and x candies in our brother's bag, and we have to make sure he doesn't have more than us (of course). We can write an inequality expressing the number of candies in the bags.

We know that our bag has 15 candies.

We know that his bag has x candies.

We know that up to 28 candies were split between both bags, no more.

Since we know that x + 15 can't be more than 28, it must be less than or equal to 28. x + 15 ≤ 28

Now that we have an inequality expressing our candy, we solve for x. To do that, we subtract 15 from both sides.

x + 15 ≤ 28

x + 15 – 15 ≤ 28 – 15

x ≤ 13

Sweet, literally. Our brother has 13 or fewer pieces of candy, so no way does he have more candy than us. Until, in a moment of weakness (er, kindness) we share a few of our pieces with him. Now it's even sweeter.

Example 2: Two-Step Inequalities

A candy store owner saw us share our candy with our brother and was so impressed he gave us a $30.00 gift card. Tax free even! We decide to buy a giant candy bar for $13.00 and then some lollipops with the remaining money. If each lollipop is $0.90, we can write and solve an inequality expressing how many lollipops we can buy.

We know that the amount we spend needs to be less than or equal to $30.00.

We know we want to buy x lollipops.

We know that each lollipop is $0.90, so the total cost of the lollipops is $0.90x.

We know the candy bar costs $13.00.

So the total cost of the candy is $13 + $0.90x, and this needs to be less than or equal to $30.00. 13 + 0.90x ≤ 30

Now we solve for x, which is the number of lollipops we can buy. We want to get x by itself, so start by subtracting 13 from both sides.

13 + 0.90x ≤ 30

13 + 0.90x – 13 ≤ 30 – 13

0.9x ≤ 17

Divide both sides by 0.9 to finish up. We recommend nabbing a calculator for this part.

We need to buy less than 18.89 lollipops, so we can buy 18 whole lollipops and have some change to spare.

Solve: 4/7-(-4/7)

A) 8/7

B) -8/7

C) -4/7

D) 4/7

Answers

Answer:

The answer is A.

A store is having a sale on shoes. The sale is buy one pair of shoes get 50% off. The original price of one pair is $52.98. All bought several pairs of shoes and the total cost was $291.39

Answers

Answer:

if it was 50% off the cost would be $145.64

Step-by-step explanation:

291.29 / 1/2= 145.64

50% = 1/2

A scale drawing has a scale of 0.25 in. : 12 ft. Find the length on the drawing for the actual length of 8 ft

Answers

Answer:

0.3125

is the answer

hopes this helps

0.25 in : 12 ft

12 ft → 0.25 in

1 ft → 0.25/12

15 ft → 0.25/12 x 15 = 0.31 inches (nearest inch)

Answer: 0.31 inch


Write the equation in slope-intercept form of the line that passes through
the points (5, 4) and (-1,6)

Answers

Answer: y = -1/3x + 17/3

Step-by-step explanation:

Hey there! I will be showing and giving the formula/steps to solve this problem. If there are any questions then feel free to ask in the comments.

Formula: y = mx + b

Step 1 - Find M

m = (6 - 4) / (-1 - 5) = -2/6 = -1/3

The m is the slope.

Step 2 - Use (5, 4) to find point B

y = -1/3x + b

4 = 1/3 * 5 + b

b = 17/3

Answer: y = -1/3x + 17/3

You will plugin 4 for y and b is the intercept.

~I hope I helped you :)~

Laura and Kennedy are at softball practice. Laura hits a ball that is 3 feet above the ground with an initial upward velocity of 60 feet per second. Kennedy hits a ball that is 2.5 feet above the ground with an initial upward velocity of 55 feet per second.

Answers

Answer:

C

Step-by-step explanation:

The system of equations [tex]y = -16x^2+60x+3\\y=-16x^+55x+2.5[/tex]  models the projectile motion of the two balls. option C is correct.

Laura and Kennedy are at softball practice. Laura hits a ball that is 3 feet above the ground with an initial upward velocity of 60 feet per second. Kennedy hits a ball that is 2.5 feet above the ground with an initial upward velocity of 55 feet per second. The projectile equations is to be determined.

What is the projectile motion?

Projectile motion is the movement of an entity projected into the space. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory.

Projectile equation = vertical motion + horizontal motion + intercept.

Laura hits a ball that is 3 feet above the ground with an initial upward velocity of 60 feet per second.
y = gx²/2 + v*x + 3
y = -32/2 * x² + 60x + 3
y = -16x² + 60x + 3

Similarly, Kennedy hits a ball that is 2.5 feet above the ground with an initial upward velocity of 55 feet per second.
y = -16x² + 55x + 2.5

Thus, the system of equations [tex]y = -16x^2+60x+3\\y=-16x^+55x+2.5[/tex]  models the projectile motion of the two balls. option C is correct.

Learn more about projectile motion here:
https://brainly.com/question/11049671
#SPJ5


PLEASE HELLPPPPPPPP.......

Answers

Answer:

11in

Step-by-step explanation:

a^2+b^2=c^2  when c is the hypotenuse

10^2+sqrt21^2=c^2

100+21=c^2

121=c^2

11=c

Answer:

The other person had the best answer for your question but I think it might be c=9

Sowy I’m just trying to get quiz done




Which model represents the product 3/4 x 1/4

Answers

kinda hard to give you the answer

if theres no options my lady!

Answer:

i will help you but it dosent let you draw a model on here

Step-by-step explanation:

BRAINLIEST TO RIGHT ANSWER!

Answers

Answer:the gradient is 3

Step-by-step explanation:

(1,2),(2,5)

5-2/2-1=3

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 7) and (x₂, y₂ ) = (2, 5) ← 2 points on the line

m = [tex]\frac{5+7}{2+2}[/tex] = [tex]\frac{12}{4}[/tex] = 3

WILL MARK YOU BRAINLIEST HELP ASAP

Answers

Answer:

That big "E" word means the same lengths so they are all 14" long

Step-by-step explanation:

plz brainliest me! XD

hiiii, before you answer my question, i just wanted to remind you to drink some water and do things that make you happy. the pandemic has effected us all differently, so if you can, take a walk, stretch for a bit, and remind yourself that you belong and that you are needed! ✧・゚: *✧・゚:* ʕ·ᴥ·ʔ ʕ•ᴥ•ʔ *:・゚✧*:・゚✧ anyways, what is two plus two?

Answers

Yeah I feel like lately I've been overdoing it a bit. I've been playing video games way longer then I used too, then again I have nothing better to do, but it's time I start taking a little more care of my body. Thanks for the nice words!  2+2 = 4.

Answer:

4

Step-by-step explanation:

well if you count 1,2, then that's two. Now count 2 more after that and you get 4!!!

Hope this helped! :)

lol

can somebody please help me ? I gotta turned this in 10 minutes .

Answers

Answer:

y = [tex]-\frac{1}{3}x-\frac{2}{3}[/tex]

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since, the given line passes through two points (-5, 1) and (4, -2)

Slope of the line 'm' = [tex]\frac{1+2}{-5-4}[/tex] = [tex]-\frac{1}{3}[/tex]

Equation of the line will be,

y = [tex]-\frac{1}{3}x+b[/tex]

Since, this line passes through (4, -2),

-2 = [tex]-\frac{4}{3}+b[/tex]

b = [tex]\frac{4}{3}-2[/tex]

b = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

y = [tex]-\frac{1}{3}x-\frac{2}{3}[/tex]

I will give you 5 stars and will also give you brainlist. Including giving you 5 star on other questions you answered from others if you help me with this science question.

Answers

Answer:

50% red nose 50% black nose

Step-by-step explanation:

A spreadsheet ,
a. calculates the interest rate of a new car loan
b. organizes large amounts of information such as a warehouse inventory
c. gives directions to a new location
d. creates a technical drawing​

Answers

B. Organizes large amounts of information such as a warehouse inventory

22.76 = 10.28 + 4.16x

Answers

The correct answer is x=3

A man ran on a treadmill for 1,600 seconds. At the end of his run, the treadmill indicated his energy output as 240,000 J. What average power did he generate?

Answers

Answer:150 watts

Step-by-step explanation: Alright so first we need to know our equation and what we're given. So for the equation its P=w/t where work also equals change in energy. So if time is 1,600 seconds and work or energy is 240,000 J then Power equals 240,000J/1,600 sec = 150 Watts

What is the largest 3-digit whole number
you can make with the digits 5, 8, and 3?

Answers

Answer:

985

Step-by-step explanation:

A coyote is traveling 80 feet per second. How fast is the coyote running in miles per hour?​

Answers

54 miles per hour ......

Trevor was reading a book for a book report. Last week, he read 45 pages of the book. This week, he read 3.5 times as many pages as he read last week.

How many pages of the book has Trevor read this week? Complete the explanation.
45
× 3.5

Answers

Answer:

5

Step-by-step explanation:

45*3.5=

Amy worked 22 hours last week and earned $231. At that rate, how much will she earn if she worked a full 40 hours?​

Answers

Did everyone what she made by hours worked to find her hourly rate:

231 / 22 = 10.50 per hour

Multiply her hourly rate by number of hours:

10.50 x 40 = 420

She would earn $420

A paint store sells exterior paint for $35.25 a gallon and paint rollers for $7.50 each write an equation in standard form of the number of gallons P of paint and rollers r that a customer could buy was $185

Answers

Answer:

35.25p + 7.5r = 185

Step-by-step explanation:

  Gallons of paint:  p

                 Rollers:  r

  35.25p + 7.5r = 185

Math is so coolllllllllllll

Answers

Answer:

In my personal opinion, math is very hard. I'm not saying I dont like it but I struggled with it for the past few years.

Step-by-step explanation:

Have a blessed day!!

<3 dont forget to smile!!

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