What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).

Answers

Answer 1
Answer:-

x=17

step-by-step Explanation:-

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Solution:-

Given angles

(6x+10°)(x+17°)(4x-34)°

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

Substitute the values

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

Remove brackets

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

Together like polynomials and constants

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

Interchange sides

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

Simplify

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]


Related Questions

Can any kind soul help me​

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

M∩N' is the set of numbers divisible by 3 that are not even. In the range [25, 40], those numbers are {27, 33, 39}. There are 3 members of the set.

i’ll mark brainlest

Answers

the next number would be 3,125 and each time you multiply by 5 so the next number after 3,125 would be 15,625

3(3 + 3j) how do you solve this

Answers

Hi! So first thing you need to do is distribute 3 through the parentheses! Then once you solve that, that is your simplified equation!

Please give brainliest!❤️

Answer: 9j+9

Step-by-step explanation:

3(3+3j)

(3*3j)+(3*3)

9j+9

Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.

Answers

Answer:

Step-by-step explanation:

Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.

When the U.S. government needed 10,000 rifles for the army, Eli Whitney applied for the contract. He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. What did he demonstrate

Answers

Answer:

interchangeable parts.

Step-by-step explanation:

Eli Whitney here demonstrates interchangeable parts.He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. popularized in America when Eli Whitney used them to assemble muskets in the first years of the 19th century, allowed comparatively unskilled workers to manufacture vast quantities of arms rapidly and at lower expense, and made repair and replacement of parts exponentially simpler.

if a circle has a circumference of 6/5 pi centimeters how long is its radius in centimeters

Answers

Answer:

r=3/5 centimeters

Step-by-step explanation:

C=(2)(pi)(r), where C= circumference and r=radius

6/5*pi=2*pi*r

divide both sides by 2pi

r=6/5pi*1/2pi

r=3/5

2
Solve for x. (must show your work for credit)"
(20 Points)
7x – 11
4x - 2
20
35

Answers

Answer:

x=9

Step-by-step explanation:

7x-11 = 4x-2

7x-4x=11-2

3x=9

x=9

Please help me with this one ​

Answers

Answer:

B

Step-by-step explanation:

If c=g-4f, find trinomial that represents C when F=2x^2-5 and G=5x^2+x-3

Answers

Answer:

c = -3x² + x + 17

Step-by-step explanation:

c = g - 4f

f = 2x² - 5

g = 5x² + x - 3

c = (5x² + x - 3) - 4(2x² - 5)

c = 5x² + x - 3 - 8x² + 20

c = -3x² + x + 17

(-3f+9)-(2-6f) what’s the answer

Answers

Answer:

jhi

Step-by-step explanation:

Answer:

3f+7

Step-by-step explanation:

HELP!!! First one to do all gets brainliest!!!!!!!!
My mom be after me fur not doing this assignment!

Answers

Answer:

C IS 100 F is 100 they usually give numbers to subtract but ion see it

50% of what number is 35

Answers

Answer:

70

Step-by-step explanation:

50% of 70 is 35

hope this helps :3

if it did pls mark brainliest

Right triangle FGH is shown. Which pair of expressions is equal to 9/41?

A. Sin F and Cos G
B. Sin F and Tan G
C. Tan Fand Sin G
D. Cos F and Sin G​

Answers

Answer

A

Step-by-step explanation:

what is the expression value of 10?

1. (10 + 10) ÷ (5 - 3)

2. 10 + 10 ÷ (5 - 3)

3. (10 + 10) ÷ 5 - 3

4. (10 + 10 ÷ 5) - 3​

Answers

Answer:

The answer is number 1 because if you put it into a calculator correctly you'll get 10

Answer:

The number one answer is 1. It's all I could say for this one, and I know I have never gotten a one-star rating, because I have always won a 5-star rating, and not one single one-star rating.

Step-by-step explanation:

Look, the answer is 1.

Select the number that would make this statement true: 496 ÷ ________ = 49.6 (3 points)

Answers

Answer:

The answer to this question is 10

Two men are decorating a room. One has painted 20 m² and the
other only 6 m². They continue painting and manage to paint
another x m'each. If the first man has painted exactly three times
the area painted by the second man, find the value of x.

Answers

Answer:

Your answer is 120m4

Step-by-step explanation:

Answer:

22metre square.

Step-by-step explanation:

3×6=18

+ 6

=22

On a certain hot​ summer's 439 day, people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1021.00 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:102 children and 337 adults swam at the publice pool that da

Step-by-step explanation:

let the number of children be x

and

the number of adults be y

such that the total number of people who came to use the public swimming pool be expressed as

x + y = 439----- Equation 1

and price  for swimming be expressed as

1.75x + 2.50y =1021----- Equation 2

Step 2

x + y = 439----- Equation 1

1.75x + 2.50y =1021----- Equation 2

First make x the subject formulae and put in equation 2

x= 439-y

1.75 (430-y) + 2.50y = 1021

Solving gives

768.25-1.75y+2.50y=1021

2.50y-1.75y=1021-768.25

0.75y=252.75

y =252.75/0.75  

y=337

To find x, put the value of y = 337 in equation 1

x+y= 439

x= 439-337

x=102

Therefore 102 children and 337 adults swam at the public pool that day

Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?

Answers

The answer should be 24 gallons and a half

14.8 - 4b - (17.1-3b)

Answers

Answer:

-3.3

Step-by-step explanation:

Sal places $500 in a retirement account that offers a return of 3.5% compounded annually . He will not deposit or withdraw any money from the account . Which function represents f(t) , the amount of money in the account after years a f(t) = 500 * (0.035) ^ t c. F(t) = 500 + 0.035t f(t) = 500 * (1.035) ^ t d. F(t) = 500 + 1.035t

Answers

Answer:

f(t) = 500 * (1.035) ^ t

Step-by-step explanation:

A = p(1 + r/n)^nt

Where

A = future value = ?

P = principal = $500

r = interest rate = 3.5% = 0.035

n = number of periods = 1

t = number of years = t

A = p(1 + r/n)^nt

= 500(1 + 0.035/1)^1*t

= 500(1 + 0.035) ^t

= 500( 1.035)^t

= 500 * (1.035)^t

f(t) = 500 * (1.035) ^ t

Help help I will make you brain list!!

Answers

Answer:

No, (8,5) is not a solution of y > x + 7

Step-by-step explanation:

Hope you got it.

A lot of Chances for brainliest !!!!

Answers

Answer:

number five is 7 :)

Step-by-step explanation:

tell me the answer on this one to lazy to do it​

Answers

Answer:

Step-by-step explanation:

New point would be (-8, 1) so the answer is none of the other answers are correct.

How do you solve this Matrix equation

x+2x-3z=-2
x-y+z=-1
3x+4y-4z= 4

Answers

Answer:

look this up and watch this video

Step-by-step explanation:

The solution of `2x + y + z = 1 , x-2y-3z = 1 , 3x +2y +4z=5` is 1)1,2,3 2) 1,2,-3 3) 1.-3.2 4)...

12/7 Lesson 9 Session 2 Review on Page 208 iready book volume 1

Answers

Answer:

I really dont understand u

Sarah says that 26 ÷ 8 equals 14 ÷ 4 because both are “3 R2.” Show her mistake using decimal division. What is 26 ÷ 8? Give your answer in decimals. 26 ÷ 8 =___. Please helpppppp

Answers

Answer: 3.25

Step-by-step explanation:

Sarah made a.mistaje when she was reducing 26 ÷ 8. It should be noted that 2 is a common factor to 26 and 8. Therefore 26÷2 = 13 and not 14 that Sarah wrote. Sarah should have written 13 ÷ 4 and not 14 ÷ 4.

26 ÷ 8 in decimal will give us 3.25

Bertha deposited $1000 into a retirement account when she was 18. How much will Bertha have in this account after 50 years at a yearly simple interest rate of 7.5%?

Answers

Answer:

$4750

Step-by-step explanation:

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest formula is given as,

SI = P x R x T / 100

P = principal

R = rate

T = time

Amount = SI + P

The amount Bertha will have in his account after 50 years is $4750.

What is simple interest?

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest formula is given as,

SI = P x R x T / 100

P = principal

R = rate

T = time

We have,

P = $1000

T = 50

R = 7.5%

A = SI + P

SI = (1000 x 7.5 x 50) / 100

SI = 1000 X 7.5 X 50 / 1000

SI = $3750

A = SI + P

A = 3750 + 1000

A = $4750

Thus,

The amount Bertha will have in his account after 50 years is $4750.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Circle theorems please help

Answers

Answer:

n = 28°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

Also angles subtended on the same arc are congruent , thus

m = n

Then

35 + m = [tex]\frac{1}{2}[/tex] (98 + n ) ← multiply both sides by 2 to clear the fraction

70 + 2m = 98 + n , but since m = n, then

70 + 2m = 98 + m ( subtract m from both sides )

70 + m = 98 ( subtract 70 from both sides )

m = 14 and n = 28

PLEASE HELP ASAP THANK U!!!!

Answers

Answer:

3

Step-by-step explanation:

The measure of angle JLM is 140°. The measure of angle JKL is 75.

What is the measure of angle KJL

Enter your answer in the box.​

Answers

Answer:

KJL is 65 degrees

Step-by-step explanation:

If JLM is 140 deg. JLK is 40 deg  the two angles on transverse line must equal 180 total.

JKL being 75 degf, sum that with JLK of 40= 115 deg

180-115= 65 deg  Sum of interior angles on a triangle add up to 180 deg.

At least that is how I remember it, you can also graph it and check it out.

Answer:65

Step-by-step explanation:

taking the test rn

Other Questions
Whenever Aiden opens his refrigerator to get something to eat, he also gives his dog some food. Now, when Aiden opens the refrigerator door his dog begins to drool. This best illustrates: Step by step how do you solve ratios and proportions? Ahmed works in a factory his normal rate of pay is 12.00 per hour When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend you buy 11 bagels with a 20$ bill how m if change do you receive? how many bagels could you buy? Bill wants to switch his breakfast cereal. Complete the sentences describing his comparison of the cereals. This cereal is more nutritious than the one I used to eat because it's made with whole-grain wheat. This means it has lots of and . The cereal I used to eat lists white flour as the first ingredient and says that it is enriched with B vitamins. This means that the manufacturer of the cereal the whole grain by stripping off bran and germ. Solve the question using Triangle Similarity Theorem. PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP PLZ PUT IT IN YOUR OWN WORDS ( 108 POINTS)1. Write a topic sentence about the French and Indian War (what was it? When did it occur? and where did it happen?)2. Describe the painting of George Washington (go back to your See, Think, Wonder)3. How did the events of the French and Indian War lead to the creation of the painting?4. What were the important results of the French and Indian War?5. Review your responses to the prompts 1-4 Organize the ideas into a paragraph (4-5 sentences) that explains the historical circumstances that led to the creation of the portrait of George Washington in a British uniform. x/y * 26 = 65quick!!! Iftwo-thirdofa number increased by 10isequal to14,find the number( - ) what was the name of the man who had a chance to shot Hitler during WW1 but did not please urgent please I beg True or False:Reverse faults have the same structure as normal faults, but the blocks move in oppositedirections You uncle wants the ratio of flowers and vegetablesplanted his garden to be 3 flowers: 4 vegetables. Hehas space for 91 plants. How many flowers should heplant? Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place. Cara measured 8 2/3 yards of cloth she the cut it into 4 equal pieces. what was the length of each piece of cloth? PLEASE HELP Due in 30 mins 45.15 21 what is the answer Solve for X!! Ill give BRAINLIEST Dawn and Timothy are sailboating in Lake Obewon. Starting from rest near the shore, they accelerate with a uniform acceleration of 0.39 m/s/s. How far are they from the shore after 18 seconds? * I need help with those two