Find the value of x, then find each angle measure.

Find The Value Of X, Then Find Each Angle Measure.

Answers

Answer 1

Answer:

x = 9

m<J = 57

m<K = 44

m<L = 79

Step-by-step explanation:

Theorem:

The sum of the measures of the angles of a triangle is 180°.

We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.

7x - 6 + 3x + 17 + 9x - 2 = 180

Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9

19x + 9 = 180

Subtract 9 from both sides.

19x = 171

Divide both sides by 19.

x = 9

Now we find the measure of each angle.

m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57

m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44

m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79


Related Questions

Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?

Answers

Answer:

Simple Interest (I) =  Principle * Rate * Time

 

so I = PRT

 

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

 

so

Assuming its per year after 4month

 

I = (47300)(0.03)(0.333333)

 

I = 472.999527

 

I = $473

 

Now we'd add the interest(I) to the Principle

 

$47300 + $473 = $47773.00

 

 

Assuming it is per month, after 4months

 

I = PRT

 

I = (47300)(0.03)(4)

 

I = $5676.00

 

Now add the interest to the principle

 

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

determine which rate should be used to complete the conversion: 12 gallons per hour to gallons per minute.
A. 1 hour per 60 minutes
B. 60 minutes per 1 hour

Answers

B.....................

Find the common difference of the arithmetic sequence 13, 10, 7

Answers

-3,
13-3=10
10-3=7
then you just know the common difference is 3

Answer: -3

Step-by-step explanation: DeltaMath

x-4.88=-5.78

solve for x

Answers

Answer:

-0.9

Step-by-step explanation:

Answer:

x =-.9

Step-by-step explanation:

x-4.88=-5.78

Add 4.88 to each side

x-4.88+4.88=-5.78+4.88

x =-.9

Need help with this question thank you!

Answers

Answer:

Step-by-step explanation:

(5,3) should be your slope. Start from the bottom of the line and go up. Use the X axis slope 1st because of the x1 y1 coordinates.

Answer:

(5,-1)

(-4,0)

Step-by-step explanation:

5 is in the X axis

-1 is in the Y axis

-4 is in the Y axis

0 is in the X axis

what is the area of a trapezoid​

Answers

Answer:

28 in² = 28

Step-by-step explanation:

[tex]a = \frac{a + b}{2}h[/tex]

[tex]a = 6[/tex]

[tex]b = 8[/tex]

[tex]h = 4[/tex]

[tex]a = \frac{6 + 8}{2}4[/tex]

[tex] \frac{14}{2} 4[/tex]

[tex]7 \times 4[/tex]

[tex] = 28[/tex]

Answer = 28 _

A rectangular prism has a base perimeter of 28 inches and a height of 6 inches. What is the lateral surface area of the prism?​

Answers

Answer:

uhuhuhuhuhuhuhuhuhuhuh oh yeah

Step-by-step explanation:

The diameter of a circle is 4 feet. What is the circumference?
d=4 ft
Give the exact answer in simplest form.

I need the answers

Answers

Answer: 4π

Step-by-step explanation: C= 2πr; 2r=d; C=dπ; C=4π!

Answer:

4π  ft

Step-by-step explanation:

C = 2πr  (Circumference formula for a circle)

diamater = 4, so  diamter = 2 x radius,  4 = 2 x r , so r = 2

Use formula:

C = 2π(2) = 4π

4π ft (Exact answer)

NO LINKS!! NO ONE WANT TO HELP ME PLEASE IM WASTING ALL MY POINTS PLSSS HELPPPP :((( Which of the following equations describe the line shown below? Check all
that apply MULTI CHOICE MORE THAN OND
(1,6) (-3,-6)

Answers

Answer:

Option E

Step-by-step explanation:

The two points are (1,6) and (-3,-6) . We can find the Equation of the line using two point form , as ,

[tex]\implies y - y_1 =\dfrac{y_2-y_1}{x_2-x_1}(x - x_1) \\\\\implies y - 6 = \dfrac{-6-6}{-3-1}(x-1) \\\\\implies y-6 = \dfrac{-12}{-4}(x-1) \\\\\implies \boxed{\boxed{y -6 = 3(x-1)}} [/tex]

On looking at options we see that option E is correct .

Hence the correct option is E.

You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE

Answers

Answer:

DTI ratio in percentage = 30.29%

Step-by-step explanation:

Annual salary = $85,063

This means that gross monthly pay = 85063/12 = $7088.58

Now,

Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147

Debt to income ratio = (2147/7088.58) × 100% = 30.29%

question in the pic

Answers

Answer is A
You pull the “3w” out of the first 2 terms and the “-4z” out of the last 2 terms

Which expression is equivalent to
[tex](3 {u}^{3} {v}^{4}) ^{2} [/tex]
A.
[tex]3 {u}^{5} {v}^{6} [/tex]
B.
[tex]3 {u}^{6} {v}^{8} [/tex]
C.
[tex]9 {u}^{6} {v}^{8} [/tex]
D.
[tex]9 {u}^{5} {v}^{6} [/tex]

Answers

Answer:

C

Step-by-step explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.

PLEASE HELP AND ILL GIVE BRAINLIEST ​

Answers

Answer:

2

Step-by-step explanation:

Subtract the number with the term both sides ( which is 9)

[tex] {x}^{2} + {y}^{2} - 6x + 4y = - 9[/tex]

Complete the square for the x terms and y terms.

( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)

[tex] {x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4[/tex]

[tex] (x - 3) {}^{2} + (y + 2) {}^{2} = 4[/tex]

Take the square root of the right side to find the radius

[tex] \sqrt{4} = 2[/tex]

please help asap
which inequality is represented by this graph

Answers

Answer:

W is either less than or( less than or equal to)

Step-by-step explanation:

I do not know what shows if something is equal to so the best answer I can think if is less than -2 as it looks like W is everything lower or equal to -2

can someone actually help me with this please!

Answers

Answer:

y = -2x  + 7

Step-by-step explanation:

When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as

m1m2 = -1

Given the line

y = 1/2 x + 8

Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept

m = m1 = 1/2

Hence the slope of the perpendicular line m2

= -1/1/2

= -2

Given that the line passes through the points (1,5)

using the equation

y - y1 = m (x - x1)

y - 5 = -2(x - 1)

y = -2x +2 + 5

y = -2x  + 7

Drew needs to air up his teams 8 soccer balls. Each ball has a diameter of 70cm. In terms of pi, what is the total volume of air in all 8 soccer balls?

Answers

Answer:

1.44m^3

Step-by-step explanation:

Given data

Number of balls= 8

Diameter of ball = 70cm = 0.7m

Radius= 35cm= 0.35m

We know that a ball has a spherical shape

The volume of a sphere is

V= 4/3πr^3

substitute

V= 4/3*3.142*0.35^3

V= 0.18m^3

Hence if 1 ball has a volume of 0.18m^3

Then 8 balls will have a volume of

=0.18*8

=1.44m^3

Shade 3/4 on the grid

Answers

What grid????? There’s no grid
shade 3 spots and leave one open

Write the Recursive form and next of the following sequence

8,10,12,14,16...

Answers

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

Someone please help really need it.

Write an equation of the line parallel to y = 5x + 7 that passes through the point (-3,2)

Answers

Answer:

y=5x-13

Step-by-step explanation:

The volume of a rectangular prism is 1,560 cm3. The height is 12 cm. The width is w and the length is w + 3. Find w.

Answers

Volume = w * h * l
w = w, h = 12, l = w + 3
1,560 = w * 12 * w + 3
1,560 = 12w^2 + 3
-12w^2 = 3 - 1,560
-12w^2 = -1557
w^2 = 519/4
w = 11.39079 cm
You can round it if you want

Answer:

w=10 cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is V=whl.

So in this case, the equation would be 1560=w·12·(w+3). Then, we can simplify this equation.

1. Divide 12 to both sides of the equation. 1560/12=130. The equation becomes 130=w(w+3).

2. Distribute w through the parentheses, the equation becomes 130=w²+3w.

3. Then, -130 from both sides of the equation, so we can get the quadratic: w²+3w-130=0.

4. Factor the quadratic. w²+3w-130=(w-10)(w+13).

5. (w-10)(w+13)=0. w=10 or w=-13. However, w is the width of a rectangular prism, can the width of a shape be negative? No. So we can ignore the solution w=-13. Therefore, w=10cm.

6. To make sure our answer is correct, let's substitute the values back into the volume of a rectangular prism formula: V=whl. w=10; h=12; l=10+3=13; V=10(12)(13)=120*13=1560 cm³. As a result, our answer is correct, w=10 cm.

Hope this helps, have a nice day.

For every six dollars that Jamal saves in his account, his brother saves eight dollars in his account.

If Jamal has $24.00 dollars in his account, how much money does his brother have in his account?

Answers

Answer:

jamel brother has 48.00 dollors

Step-by-step explanation:

Answer: He has 32$ 24 divided by 6 is 4 multiply 4 by 8 and you get 32

Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm?

Answers

Answer:

25

Step-by-step explanation:

A=1/2×b×h

A=1/2×5cm×10cm

A=25cm

Find the least common multiple of 18, 24, 42

Answers

Answer: 504. Multiple for : 18, 24 and 42. Factorize of the above numbers : 18 = 2 • 32 24 = 23 • 3. 42 = 2 • 3 • 7

Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour

Answers

Answer:

c or d sorry if I'm wrong

Step-by-step explanation:

I think it's your d because of the shortest answers and they're the only two that makes sense

5. How many mililiters of a 3.5 M iron (II) nitrite (Fe(NO2)2) solution are needed to provide a tot
of 0.13 kg of Fe(NO),?
need help plss

Answers

Answer:

try this link!

Step-by-step explanation:

https://www.wylieisd.net/cms/lib09/TX01918453/Centricity/Domain/783/Math%20Connections%20Key.pdf

What is the answer for |-12| is positive or negative

Answers

Answer:

postitive

Step-by-step explanation:

|-a| = a, a>0

Solve 5/4=x/12.

x=
Please help!

Answers

Answer: x=15

Step-by-step explanation:Step 1: Cross-multiply.

5

4

=

x

12

(5)*(12)=x*(4)

60=4x

Step 2: Flip the equation.

4x=60

Step 3: Divide both sides by 4.

4x

4

=

60

4

x=15

Answer:

x=15

hi so... im horrible at math and can't figure this out so can someone pls answer this? and in the most simplified way possible because my tiny brain can't handle too many steps aha. WILL GIVE BRAINLIEST... just so u guys know l mao

Answers

It is -42x+8 fully simplified

AAAAAA help me pls
(I need help on number 5)

Answers

Answer:

1620!

Step-by-step explanation:

Answer:

1620

Step-by-step explanation:

Can someone help with this question? I’m stuck.

Answers

Answer:

2

Step-by-step explanation:

2+2 is 4 so therefore the answer is 2.00.

Other Questions
what are 3 variations of peppered moths? The Kleins currently use part time, contract employees hired through the vocational rehabilitation program. Before hiring any permanent, full-time employees, they want to better understand the role small businesses play when it comes to job creation. Which of the following explanations should you provide?a. Working for a small business necessarily means forgoing top pay.b. Small companies typically employ the owner or founder, but do not hire other employees.c. Almost one out of four workers in the United States works for a company that has fewer than 20 employees.d. Less than 1% of U.S. companies have 500 or more employees. Mason says that a point with the coordinates (4, 4) lies on a circle centered at the origin with a radius of 4 units. Is Mason correct? Explain why or why not. PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE What is another way to express 52 + 24?8 (6 + 3)4(13+6)6 (9+4)13 (4+2)Done Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order? During anaphase the chromosomes line up ? True or false You can tell from her (accent/ascent/assent) that she is from Texas. The men were (all ready/already) exhausted from the battle.Colonel Travis ordered his troops to (cease/seize) firing The hopelessness of the situation does not (distract/detract) from the Texans' bravery. By the end of the battle, hundreds lay (deceased diseased) on the ground. Santa Anna's army used ladders in their (accent/ascent/assent) of the Alamo's walls. The Mexican general tried to illicit/elicit) a surrender from the defenders. The reinforcements arrived (latter/later) than expected. The soldiers were (all ready/already) for the attack. Travis worried about the civilians in the Alamo, but they did not (distract/defract) him from his goal. Santa Anna's army tried to (cease/seize) the Alamo by force. Find the length of side C when a=40 and b=9 define this words 1.abundant,2.comprehensive,3.controversy,4,Dynesty,5.Elaborate,6.Realm, 7Reformation8. Revival 9.sccesion, 10.undisputed $12 with a 85% markup PLS HELP WOULD APPRECIATE IT What is there area 6m 4cm triangle 50 POINTS PLEASE ANSWER CORRECTLY Two balls collide on a pool table. Before the collision, ball 1 is traveling with a speed of 4 m/s, and ball 2 is at rest. After the collision both balls are in motion.What has happened in this collision?A. There was no change in ball 2's velocity, therefore momentum was not conserved.B. Ball 2's velocity decreased, and it gained some of ball 1's momentum.C. Ball 1's velocity decreased, and it gained momentum. D. Ball 2's velocity increased, and it gained some of ball 1's momentum. Read the following amendment to the U.S. Constitution:Amendment VI:In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial Juryof the State and district wherein the crime shall have been committed, which district shall have beenpreviously ascertained by law, and to be informed of the nature and cause of the accusation; to beconfronted with the witnesses against him; to have compulsory process for obtaining witnesses in his favor,and to have the Assistance of Counsel for his defence.Which of the following conclusions can be drawn about the addition of this amendment?This amendment was written to appease colonial lawyers who had been banned from practicing law under the British crownThis amendment was written to address the lack of due process of law the colonial citizens had suffered under Britain.This amendment was written in order to speed up the criminal Justice system and prevent overcrowding of prisons.This amendment was written to help speed up the ratification of the Constitution Choose the terms that are MOST associated with fiscal policy? Stephen Hawking Stephen Hawking is a renowned physicist. He is known for his research on black holes and for writing books on the universe and space. He has studied and worked on the basic laws that govern the universe. Hawking was born in Oxford, England. He was curious and eager to know how things worked. As a child, he would often detach or separate the parts of a clock or a radio in order to find out how these gadgets worked. Although he didn't get very good grades, people around him knew that he had a mind of a genius. He showed interest in science and space. Hawking later went to Cambridge to research cosmology, which is the study of the universe. His teachers, and even he himself, realized that he excelled in this field without much effort. Unfortunately, around the age of 21, he was diagnosed with motor neuron disease or amyotrophic lateral sclerosis (ALS). ALS is a disease that causes loss of control of the voluntary muscles. Hawking was heartbroken and used to wonder why this happened to him. But when he looked around him, he realized that there were people who were even worse than him. He was determined to not let ALS stop him from trying to realize his dreams and aspirations. Even though doctors did not expect him to live for long, at least not long enough to complete his research, he did not give up hope. He not only completed his research but also delved into new areas of research. As the years passed, his condition worsened. He became less mobile. His speech became slurred, and eventually, he couldn't speak at all. Although he now used a wheelchair and a speech-generating device, he did not give up. With support from his family and with sheer perseverance, he continued with his research. Hawking went on to author A Brief History of Time, which brought him worldwide acclaim. Some of his other books include A Briefer History of Time, The Universe in a Nutshell, The Grand Design, and On the Shoulders of Giants. He and his daughter, Lucy Hawking, also authored George's Secret Key to the Universe, which aims to explain the universe to young children. Hawking has several awards and distinctions to his credit, such as the Pius XI Gold Medal for Science, Albert Einstein Award, Hughes Medal from the Royal Society, and Presidential Medal of Freedom. He also has 12 honorary degrees. Hawking made several television appearances. In 2014, the movie The Theory of Everything, depicting his life, was released. Hawking, though severely disabled, has been highly successful in his scientific research. He has traveled to distant places on Earth, been on a submarine, and has even experienced a zero-gravity flight. His disability did not prevent him from doing what he wanted to do in his life.Which two sentences convey the main idea of paragraph 2?o Hawking was intelligent and did not make much effort to excel in his studies. o Hawking was diagnosed with amyotrophic lateral sclerosis, an incurable, degenerative muscular condition. o Hawking was born in England and studied at Cambridge.o Hawking showed lifelong dedication to studying the universe. o Hawking pursued his research in spite of his disability. Experiments have shown that adult human hearing is most sensitive in the frequency range of the sound of a human baby crying. Based on the threshold of audibility curve shown for an adult male shown below, into which frequency range does most babies' crying fall? Threshold of audibility equal-loudness curve A. 25 50 Hz B. 250 500 Hz C. 2500 5000 Hz D. 10,000 20,000 Hz If I were to ask a person what life was like when Genghis Khan ruled, what would he or she say? Good evening everyone ....Who is the father of education Take time as long as you want but please answer me