In Triangle JKL, ∠J is congruent to ∠L. Triangle J K L is shown. Ray L K extends beyond point K to form an exterior angle that is labeled sixty-seven and eight tenths degrees. What is the measure of ∠L? Enter the correct answer in the box.

Answers

Answer 1

Answer:

m<L = [tex]33.9^{o}[/tex]

Step-by-step explanation:

Triangle JKL is an isosceles triangle, given that <J ≅ <L. An isosceles triangle has two of its angles and sides to be equal.

The exterior angle formed = [tex]67.8^{0}[/tex]

But,

<J + <L = [tex]67.8^{0}[/tex] (the sum of two opposite interior angles is equal to the exterior angle)

Let <J ≅ <L be represented by a, so that;

a + a =  [tex]67.8^{0}[/tex]

2a = [tex]67.8^{0}[/tex]

a = [tex]\frac{67.8^{o} }{2}[/tex]

  = [tex]33.9^{o}[/tex]

The measure of <L is m<L = [tex]33.9^{o}[/tex] (m<L =

Thus,

m<J ≅ m<L = [tex]33.9^{o}[/tex]


Related Questions

Blank divided by 3/5=10/21

Answers

Answer:

Blank = 2/7

Step-by-step explanation:

Can someone please help me with this please?!

Answers

60 inches

I hope this helped out! Have a nice day :)

Simplify -1.5(-3.6+2)
Pleaseee people

Answers

Answer:

Your answer is 2.4

Step-by-step explanation:

A factory produces 40 cars per week. What is the percentage in the production rate if it changes from 40 cars per week to 100 cars per week?

Answers

Answer:

100/40=2.5 or 250%

250% in production rate should be your answer.
250% because it multiplies by 2.5

Write a power that has a value greater than 140 and less than 145.

Answers

Answer:

[tex]12^{2}[/tex]

Step-by-step explanation:

To find: a power that has a value greater than 140 and less than 145

Solution:

Take [tex]x=12^{2}[/tex]

Here,

[tex]12^{2}=144[/tex] and [tex]140<144<145[/tex]

That is [tex]140<x<145[/tex]

Therefore,

[tex]12^{2}[/tex] has a value greater than 140 and less than 145.

simplify the expression. -1/4 -(1 1/2)

Answers

Answer:

- 7/4

Step-by-step explanation:

The ratio of pens to pencils in Terrances case is 4:5. He has 16 pens.How many pencils does he have?

Answers

Answer:

20 pencils

Step-by-step explanation:

Ratio: 4:5 (4 to 5)

16: (?)

16 ÷ 4 (the 4 in 4:5) = 4

So:

4 x 5 = 20

Final Answer:

16:20

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Tickets to a football game cost $6 per ticket write and equation that represents this relationship between tickets purchased and total cost . Use t to represent the number of tickets purchased and c to represent the total cost

Answers

Given:

Tickets to a football game cost $6 per ticket.

To find:

The equation that represents this relationship between tickets purchased and total cost.

Solution:

Let t represents the number of tickets purchased and c represents the total cost.

Cost of 1 ticket = $6

Cost of t ticket = $6t

Since, c is the total cost oft tickets, therefore the equation for given situation is

[tex]c=6t[/tex]

Therefore, the required equation is [tex]c=6t[/tex].

What is the radius and diameter of a circle 4.2 cm?

Answers

Answer:

is 4.2 the circumference

Step-by-step explanation:

Answer:

2.1 cm

Step-by-step explanation:

Ming wrote the table of points below.

x
y
5
10
10
20
15
30

Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the origin.

Answers

Answer:

I am 99.99% sure it is the first one

4•f(6)-6•g(5)=?
i need help ASAP!

Answers

Answer:

6

Step-by-step explanation:

f(6) from the graph is -6

g(5) from the graph is -5

4*f(6)-6*g(5)=(4)(-6)-(6)(-5)=-24+30=6

Function A is represented by the equation y = 2x+5.
Function B is a linear function that goes through the points shown in the
table.
X 1 3 4 6
y -1 3 5 9
Which statement correctly compares the rates of change of the two
functions?

A. The rate of change of function A is 5.
The rate of change of function B is 4.

B. The rate of change of function A is 2.
The rate of change of function B is 2.

C. The rate of change of function A is 2.
The rate of change of function B is 4.

D. The rate of change of function A is 5.
The rate of change of function B is 2.

Answers

Answer:

i think its A or D but idrk, it has been 3 days so what did you choose and did you get it right or wrong?

Step-by-step explanation:

Solve by using substitution -5x-y=12 y=-4x-9

Answers

Answer:

(-3, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

-5x - y = 12

y = -4x - 9

Step 2: Solve for x

Substitution

Substitute in y:                              -5x - (-4x - 9) = 12Distribute negative:                      -5x + 4x + 9 = 12Combine like terms:                      -x + 9 = 12Subtract 9 on both sides:             -x = 3Divide -1 on both sides:                x = -3

Step 3: Solve for y

Define original equation:                    y = -4x - 9Substitute in x:                                     y = -4(-3) - 9Multiply:                                                y = 12 - 9Subtract:                                               y = 3

can you please quick solve this, thank you:))
3x+2y=5
2x+2y=4

Answers

Answer:

(x,y)=(1,1)

Step-by-step explanation:

got it right on a test

Answer:

X=+4

y=-2

Step-by-step explanation:

this is simultaneous equations

hence,

using elimination method

3x+2y=5

2x+2y=4

2y eliminates 2y

3x+2x=5x=5*4

5x=20

X=20/5

X=+4

(2)

to find "y"

take any of the equation above

using equ(2)

2x+2y=4

2(4)+2y=4

+2y=+4-8

+2y=-4

y=-4/2

y=-2

hope it useful!

A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday they sold 72 child tickets and 36 adult tickets for $306. What is the cost of a child ticket?

Answers

Answer:

$2

Step-by-step explanation:

Let, price of individual child ticket is $x, and price of individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

and on Saturday we can write an equation is 72x+36y=306.....(2).

so, Equation 1: 55x+20y=200

 

Equation 2: 72x+36y=306

now, we are going to solve both equations.

after solving you will find x=2 and y=4.5

Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.

The cost of a child's ticket will be $2.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let, the price of an individual child ticket is $x, and the price of an individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

On Saturday we can write an equation is 72x+36y=306.....(2).

The first equation is:-

55x+20y=200

The second equation will be written as:-

72x+36y=306

Now, we are going to solve both equations. After solving you will find x=2 and y=4.5

Hence, we can say that the cost of a child ticket is $2, and the cost of an adult ticket is $4.50.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

What is the Answer to -14.5 + (-1.24)

Answers

The answer would be -15.74

11. A large pine tree was struck by lightning and fell as
shown by the diagram below. Which equation
could be used to find the length of the fallen part of
the tree?
8 ft
13 ft —
A. 82 +132 - X
B. N82+132 -
C. 132 - 82 = X
D. V132 - 82 - *

Answers

It forms a right triangle.

To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2

This can be rewritten as x = sqrt(a^2 + b^2)

Using the dimensions of the tree the answer would be :

B. x = sqrt(8^2 + 13^2)

The equation to find the length of the fallen part of the tree  is

[tex]x=\sqrt{8^2+13^2}[/tex]

Right Triangle.

Right triangles is a triangle with one angle is 90 degree.

The side opposite to 90 degree is the hypotenuse.

Pythagorean Theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The length of the fallen part of the tree is the hypotenuse

Hypotenuse is 'x'

Base of the triangle is 13 feet and height is 8 ft

Apply Pythagorean theorem to find out the hypotenuse 'x'

[tex]hypotenuse^2= base^2 + height ^2\\x^2=\sqrt{13^2+8^2} \\x=\sqrt{13^2+8^2}[/tex]

the equation to find the length of the fallen part is

[tex]x=\sqrt{8^2+13^2}[/tex]

Learn more information about 'Pythagorean theorem ' here

brainly.com/question/22605943

Jaylen has a pet grooming business. In 2018, he groomed 200 dogs. In 2019, he groomed 450 dogs. What was the percent increase in the number of dogs groomed? Don't forget your % sign.

Answers

Answer:

Percentage increase= 125%

Step-by-step explanation:

Giving the following information:

2018= 200 dogs

2019= 450 dogs

To calculate the percentage increase, we need to use the following formula:

Percentage increase= [(2019 - 2018)/2018]*100

Percentage increase= [(450 - 200)/200]*100

Percentage increase= 125%

Divide 2x4- 4x3 - 11x2 + 3x - 6 by x + 2.

Now, evaluate f (x) = 2x4 – 4x3 – 11x2 + 3x – 6 for x = –2.

f (–2) =

Need asap

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Lincoln High School's basketball team won the regional playoffs scoring a
total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?

Answers

Answer:

y = 8

x = 18

Step-by-step explanation:

(x + y = 26) x2 -1

2x+3y = 60 -2

2x+2y = 52 -1

2x+3y = 60 -2

Subtracting equation 2 from equation 1

= -y = -8

= y = 8

_____________________________________________________

2x+3y = 60

= 2x+3x8 = 60

= 2x+24 = 60

= 2x = 60-24

= 2x = 36

= x = 36/2

= x = 18  

Would you rather pay for 3 gifts and get 1 free or use a coupon for 20% off and why?

Answers

Answer:

Pay for 3 and get one off

Step-by-step explanation:

Because you would get more for your bargain. A 20% coupon would be for one. but to buy 3 and get one free, that's a better deal.

(Pls give brainliest)

Can someone actually help me please

Answers

Answer:

The second one y<2x-6

Step-by-step explanation:

Based on the shading we can tell that the sign is going to always be shaded on the right side. We see the line is dashed (its kinda hard to see) but a dashed line means none of the points on it can be part of the solution. If it was a solid line it would be ≤ and we see it's not so its <

Please help! ( WIll mark Brianliest )

Help

Answers

Answer:y= (3/4)x -7/4

Step-by-step explanation:

[y -(-1)]/[x - 1] = [2 -(-1)]/[5 - 1]

[y + 1]/[x - 1] = 3/4

y + 1 = (3/4)x - 3/4

y = (3/4)x - 7/4.

Write the equation of the line that passes through the points (-6,8) and (8,8), Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line,

Answers

X = 8 vertical line btw

how many squares would have to be shaded to that 1/6 of the shape is shaded

Answers

Answer:

3 squares

Step-by-step explanation:

Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

1

Step-by-step explanation:

1 part

i m sorry my small brother wrote it

Find the slope with (7, 4) and (8, 2)

Answers

Answer:

slope is -2

Step-by-step explanation:

2-4= -2

8-7=1

-2/1= -2

branliest plzzx

What is the length of DF? Round to the nearest hundredth.

Answers

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06

59.126 + 951.2 round to the nearest hundreths

Answers

Answer:

1010.33

(:

Step-by-step explanation:

unit 5 lesson 4.3 quiz answers

Answers

Answer:

There is nothing here to answer

Step-by-step explanation:

17
The cost for dinner at a wedding venue in Austin is $32.50 per
person plus a rental fee of $475. Which equation can be used
to determine the total cost of dinner?
F(d) = 475d+ 32.50
G f(d) = 475 + 32.500
A fld) = 475d- 32.50
475/
I fld) = 32.500

Answers

Answer:

Step-by-step explanation:

Is their a 32.50d + 475? If not I don't know what the answer is because you have the same two things twice in a pattern.

Answer:

f(d) = 475 + 32.50d

Step-by-step explanation:

Cost of dinner = $32.50 per personRental fee = $475

Total cost per d persons:

f(d) = 475 + 32.50d

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