In AJKL, mZJ = (8x + 6)", mZK = (2x + 2)°, and młL = (4x + 4)º. Find m_L.​

Answers

Answer 1

Answer:

Step-by-step explanation:

∠J + ∠K + ∠L = 180   {Angle sum property of triangle}

8x + 6 + 2x + 2 + 4x + 4 = 180

8x + 2x + 8x + 6 + 2 + 4 = 180

Combine like terms.

14x + 12 = 180

Subtract 12 form both sides

14x = 180 - 12

14x = 168

Divide both sides by 14

x = 168/14

x = 12

∠L = 4x + 4

    = 4*12 + 4

    = 48 + 4

L = 52


Related Questions

In how many ways can u arrange the letters of the word MATHEMATICS taking three letters at a time?​

Answers

Answer:

256 ways i think maybe

Step-by-step explanation:

Juan le dice a Laura dentro de 18 años tendré 4 veces la edad que tenia hace 9 años. ¿Qué edad tiene juan?

Answers

Answer:

18

Step-by-step explanation:

18

At the farmers' market, Lillian bought 5/12 of a pound of string beans and 1/12 of a pound of lima beans. How many more pounds of string beans did Lillian purchase?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

1/3 more pounds of string beans.

Step-by-step explanation:

Amount of string beans: 5/12 of a lbs(pound)

Amount of lima beans: 1/12 of a lbs

Amount of string beans - Amount of lima beans = 5/12-1/12 =4/12 which simplifies down to 1/3.

If 12x = 60, what is the last step to solve for x?

A. multiply 12 to both sides

B. subtract 12 from both sides

C. add 12 to both sides

D. divide 12 from both sides

Answers

Answer:

D. divide 12 from both sides

Step-by-step explanation:

12x = 60,

Divide each side by 12

12x/12 = 60/12

x = 5

We have to find,

The last step to solve for x,

→ 12x = 60

Then use option (D),

D. divide 12 from the both sides,

→ 12x = 60

→ 12x/12 = 60/12

→ x = 5

Hence, option (D) is last step.

Need help~ What is the measure of arc sty in the circle O below

Answers

Answer:

50

Step-by-step explanation:

Arc AT the center = angle at the center = 50

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

[tex]x\approx 49.6^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.

For angle [tex]x[/tex]:

Opposite side is 40Adjacent side is 34

Therefore, we have:

[tex]\tan x^{\circ}=\frac{40}{34}[/tex]

Take the inverse tangent of both sides to solve for [tex]x[/tex]:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]

HELP ASAP!!!

The circle graph shows the percentage of visitors at a
convention who ordered various flavors of juice. There were 700
visitors at the convention.
About how many visitors ordered grape juice or apple juice?
Enter your answer in the box.


Answers

Step-by-step explanation:

40+24+11+8+17= 100

100 - 700

24 - ?

24×700/100

= 168 visitors ordered apple juice

100-700

11-?

11×700/100

=77 people ordered grape juice

plz help me out with the answer and explaination

Answers

Answer:

7500 m

Step-by-step explanation:

5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500

rationalization
[tex] \frac{6}{ \sqrt{3} } [/tex]

Answers

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

Find the answer to each trigonometric function below. ​

Answers

Answer:

Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]

PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............

Answers

I know the square root of sixteen is 4
1- 4
2- 1.5
3- 8
4- 1
5- 5
6- 9

Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A
and point B?

Answers

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

[tex]x_{1}[/tex]=-4

[tex]y_{1}[/tex]=-13

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

[tex]\sqrt{(-4--4)^2+(3--13)^2}[/tex]

simplify

[tex]\sqrt{(-4+4)^2+(3+13)^2}[/tex]

now add the values inside the parenthesis that are under the radical

[tex]\sqrt{(0)^2+(16)^2}[/tex]

raise everything under the radical to the second power

[tex]\sqrt{0+256}[/tex]

add under the radical

[tex]\sqrt{256}[/tex]

now take the square root of 256

[tex]\sqrt{256}[/tex]=16

so the distance between point A and point B is 16

Hope this helps! :)

8 Find the value of x a (22²)x is exponent of (22²) = 64​

Answers

Given:

Consider the given equation is:

[tex](2\cdot 2^2)^x=64[/tex]

To find:

The value of x.

Solution:

We have,

[tex](2\cdot 2^2)^x=64[/tex]

It can be written as:

[tex](2\cdot 4)^x=8\times 8[/tex]

[tex]8^x=8^2[/tex]

On comparing the exponents of both sides, we get

[tex]x=2[/tex]

Therefore, the value of x is 2.

(6/11) to the power 2 answer pls

Answers

Step-by-step explanation:

in fraction it comes 36/121

and in decimal.it comes 0.3

Answer:

Step-by-step explanation:

6/11^2 = 6/11 * 6/11 = 36 / 121.

You cannot simplify 36/121

If ABC~ ADEF and the scale factor from AABC to A DEF is 2, what are the
lengths of DE, EF, and DF, respectively?
E
B
4
2
6
A А
A. 4, 8, 12
B. 2, 8, 12
C. 8, 16, 24
D. 1, 2, 3

Answers

Answer:

A. 4, 8, 12

Step-by-step explanation:

there is a scale factor f=2 to "go" from one triangle to the other.

that means all sides of the target triangle are created out of their corresponding side of the source triangle by multiplying them by the scale factor.

so,

2×f = 2×2 = 4

4×f = 4×2 = 8

6×f = 6×2 = 12

The lengths of DE, EF, and DF are 4, 8 and 12 respectively, (option 1)

What are similar triangles?

Two triangles are said to be similar if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given that, Δ ABC~ Δ DEF and the scale factor from Δ ABC to Δ DEF is 2

Since, the scale factor is 2, therefore each side of Δ ABC is increased by 2 in Δ DEF

Therefore,

DE = 2AB

EF = 2BC

DF = 2AC

Therefore,

DE = 4

EF = 8

DF = 12

Hence, the lengths of DE, EF, and DF are 4, 8 and 12 respectively, (option 1)\

For more references on similar triangles, click;

https://brainly.com/question/25882965

#SPJ2

How do I find question number 43

Answers

Answer:

[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]

The product of integers a,b,c and d is 546 and if 1<a<b<c<d, what is the value of b+c?​

Answers

Hello,

546=2*3*7*13

a=2, b=3,c=7,d=13

b+c=3+7=10

Someone please help me on this and please tell me the answer directly please !!

Answers

Answer:

0.01

0.05y-0.12y-0.06

Answer:

First one should be: 0.05 + 0.1y = 0.12 + 0.06y

Second one is 100

Step-by-step explanation: Trust me:)))

The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.

Answers

Answer:

4x² - 24x + 20 = 0

Step-by-step explanation:

a(1)² + b(1) + 20 = 0

a(5)² + b(5) + 20 = 0

a + b = - 20 ⇒ b = - a - 20 ...... (1)

25a + 5b = - 20 .......... (2)

(1) -----> (2)

25a + 5( - a - 20) = - 20

20a - 100 = - 20 ⇒ a = 4

4 + b = - 20 ⇒ b = - 24

4x² - 24x + 20 = 0

pls answer with explanation!

The manager of a small baseball stadium uses the equation y = 9000 -2.4x to model the relationship between y, the number of unfilled seats in the
stadium, and x, the number of cars in the parking lot. According to the model, how many cars will be in the parking lot when there are no unfilled seats in the stadium?

Answers

Answer:

3,750 cars.

Step-by-step explanation:

We are given that the equation:

[tex]y=9000-2.4x[/tex]

Models the relationsip between y, the number of unfilled seats in the stadium, and x, the number of cars in the parking lot.

We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.

When there are no unfilled seats in the stadium, y = 0. Thus:

[tex]0=9000-2.4x[/tex]

Solve for x. Subtract 9000 from both sides:

[tex]-2.4x=-9000[/tex]

Divide both sides by -2.4:

[tex]x=3750[/tex]

So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.

Find the value of each variable.
4V3
b
60°
45°
C
d

Answers

Answer:

a = 6, b = 6√2, c = 2√3, d = 6

Step-by-step explanation:

Applying,

sin60° = a/4√3

Therefore,

a = sin60°×4√3

a = (√3/2)(4√3)

a = 3×2

a = 6

Also,

cos60 = c/4√3

c = cos60×4√3

c = 0.5×4√3

c = 2√3

also,

tan45 = a/d

d = a/tan45

d = 6/(1)

d = 6

Also,

sin45 = a/b

b = a/sin45

b = 6/(1/√2)

b = 6√2

add: -38+6+27+(-8)+126

Answers

Answer:

113

Step-by-step explanation:

question in picture | Math

Answers

Answer:

Y=4/-2

Step-by-step explanation:

Need help on this!!! 7 points!!!

Answers

Answer:

P= $226,863.29

Step-by-step explanation:

Compounded Continously means

P= P₀e^(rt)

plug in givens

P=(47000)e^(0.0926*17)

Use Calculator

and get P= $226,863.29

Answer:

$226,863.29

Step-by-step explanation:

P = $47,000

r = 0.0926

t = 17

A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]

A = $226,863.29

vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that

(a) Its distance from (1, 2) and (2, -3) are equal.​

Answers

(1 , 2) (2, -3) (x1,y1) (x2, y2)

Distance formual √(x2-x1)+(y2-y1) {substitute numbers in formula}

= √(2-1)^+(-3-2)^ =√(1)^+(-5)^ [here square root and square get cancelled] = (1)+(-5) = 1-5 = -4
A point that is equidistant from two points will travel along the perpendicular bisector of the line that joins them.
The gradient of the line between (1,2) and (2,-3) is (-3 - 2)/(2 - 1) = -5
The perpendicular gradient = -1/-5 or 0.2
The midpoint between (1,2) and (2,-3) is ((1+2)/2,(2+-3)/2) = (1.5, -0.5)
Substituting into y=mx + c
-0.5 = 0.2 x 1.5 + c
-0.5 = 0.3 + c
c = -0.5 - 0.3 = -0.8
So the locus is the line y = 0.2x - 0.8

Please help me with this problem

Answers

Answer:

Step-by-step explanation:

a*b *c = abc

15c = 15 . c

2a * 10b = 2* 10 * a * b = 20ab

The above mentioned expressions are true

That are false

12ab = 12a * 12b   ----> false because 12ab = 12 * a* b

7a *7b = 14ab is false because   7a * 7b = 7 * 7* a *b = 49ab

Is the following statement a good definition? Why?

An obtuse angle is an angle whose measure is greater than 90°.

Answers

Answer:

yes it is all obtuse angles have measures greater than 90°.

Answer:

Yes it is. All obtuse angles have measures greater than 90.

Step-by-step explanation:

Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.

Which of the following terms best describes each of the two points marked with dots in the ellipse below?

Answers

Answer:

Focus.

Step-by-step explanation:

.

Answer:

The correct answer is D. Focus.

Step-by-step explanation:

Tony is 3 years older than Marie. This can be modeled with the following equation

Answers

Answer:

M = T - 3

Step-by-step explanation:

Given

T = M + 3 ( subtract 3 from both sides )

T - 3 = M , that is

M = T - 3

Answer:

[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]

Step-by-step explanation:

T = M + 3

Swap the sides of of equations .

M + 3 = T

subtract 3 from both side

M + 3 - 3 = T - 3

M = T - 3

Please help me out with this one

Answers

Answer:

[tex]72 cm^{2}[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

Square:

5*5= 25 cm.

Rectangle#1:

4*5= 20 cm.

Rectangle #2:

3*5= 15 cm.

Triangle (2):

[tex]3*4*\frac{1}{2}=6[/tex]

Multiply by 2 because there are 2 triangles

6*2= 12 cm

Total:

Add them all up.

25+20+15+12= 72

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at McDonald's, you get a $1 coupon for every 3 fries you buy. What is the least number of fries you could buy in $10 in coupons? A homeowner contracted for construction of a custom-built, elevated deck in his backyard. The deck's designer supervised the construction, which was carried out by several employees of a local building company. The homeowner was pleased with the appearance of the deck, but the first time he stepped on it, a support on one side of the deck gave way, causing the homeowner to fall and be injured. The homeowner brought an action joining the building company and the deck's designer as defendants, alleging negligence. In his complaint, he alleged that he does not know which of the defendants is responsible for the damages.Which of the following doctrines would be most helpful against the designer?A Respondeat superior.B Res ipsa loquitur.C Contribution.D Indemnity. what is a 200% increase of 50 "human is a social being". justify the statement with reason Please help ASAP!!!Explain how to solve the problem if u can which one is the right graph (I will give brainliest!) Solve for x using the distributive property7(x-2)-3(x+3)=5(x-3)+x Soil is a mixture of eroded rock and: ii. rhizopus biotic iii. humus i. aquous iv. cycas v. rhizopus a = 3 and a - 1 = 1 find the value of a HELP QUICK Under King Darius I, the Persian Empire A Connect a different regions using roads and a Postal ServiceB broke up into city states with free governmentsC gave Governors powerful armies to rule over their subjectsD forced captured people to give up your religious believes Pyroclastic material includes lava that hardens in the air during eruption.a. Trueb. False Which statement best compares the viewpoints of the two passages?O A. The first passage tries to persuade readers that lower electricitybills are the main benefit of the shorter week, while the secondpassage says that improved student learning is the greatestbenefit.B. Although the first passage tries to persuade readers that bussavings will be a benefit of the shorter week, the second passagesays that students will use buses for sporting events on off days.O C. The first passage tries to persuade readers that schools will savemoney by shortening the school week, while the second passagesays the shorter week offers no real benefits.D. The first passage tries to persuade readers that schools areconsidering the four-day week, while the second passagediscusses the financial benefits of the shorter week. Solve each system by graphing. Ngy k nim thnh lp ng l ngy no? Vn dng t tng HCM v ng Cng sn Vit Nam phn tch vn phng, chng cc tiu cc trong ng hin nay? What is the value of this expression when g = -3.5?8 |2g 5|A. 20B. 10C. 6D. -4 find the measure of one exterior angle for the following regular polygon Mini reform movement spring up in the 1800s. Which eventually resulted in a woman's right to vote?A. Abolitionist movement B. Temperance movement C. Pioneer movement D. Suffrage movement the graph of the parabola y=3(x+5)2-2 has vertex (-5,-2). if this parabola is shifted 1 unit down and 6 units to the right, what is the equation of the new parabola? I attached a picture of my question. Please help me ( urgent)