The measures of the three angles of a triangle are given by 18x − 7, 12x + 9, and 4x. What is the measure of the largest angle?

Answers

Answer 1

Answer:

The greatest angle is [tex]18x-7[/tex]

Explanation:

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to [tex]180[/tex]°.

The given angles of a triangle are [tex]18x-7,12x+9,4x[/tex]

Therefore,

[tex]18x-7+12x+9+4x=180[/tex]°

[tex]34x+2=180[/tex]°

[tex]34x=178[/tex]°

[tex]x=\frac{178}{34}=\frac{89}{17}[/tex]

[tex]18x-7=18(\frac{89}{17})-7=\frac{1602-119}{17}=\frac{1483}{17}[/tex]≈ 87.2°

[tex]12x+9=12(\frac{89}{17})+9=\frac{1068+153}{17}=\frac{1221}{17}[/tex] ≈ 71.8°

[tex]4x=4(\frac{89}{17})=\frac{356}{17}[/tex] ≈ 20.9°

Therefore, greatest angle is [tex]18x-7[/tex]


Related Questions

Other Questions
Anyone know a good 30 minute or 1 hour workout I can do? What is the copper stone age ? Extended warrantiesCarnes Electronics sells consumer electronics that carry a 90-day manufacturers warranty. At the time of purchase, customers are offered the opportunity to also buy a two-year extended warranty for an additional charge. During the year, Carnes received $412,000 for these extended warranties (approximately evenly throughout the year).Required:1.Does this situation represent a loss contingency? Why or why not? How should it be accounted for?2.Prepare journal entries that summarize sales of the extended warranties (assume all credit sales) and any aspects of the warranty that should be recorded during the year. True or false- our phenotype is solely determined by genotype.plz help me!!! :( Will mark brainliest if ur right! if not, u wont get it. please help if your able to (: What does the caste system stand for? can any one figure this out plz los planetas exteriores son frios y los planetas interiores son mas? HELP!!!!!!!!!!!!!!!(i should of study for this) 21= M + 14 1/6 what is the value of m -extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages which phrase correctly completes this sentence renaldo: qu ests escribiendoeric: ______________ una carta a mi abuelaA. estn escribiendoB. estoy escribiendoC. est escribiendo D. estamos escribiendo A force of 3kN acts on a car to make it accelerate by 1.5m/s/s. What is the mass of the car? shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation - 10x - 5y = 5 - 4x + 5y = 23 Which economic system is based on traditional use of resources and is most often found in non-industrialized regions?Question 9 options:marketcommandtraditionalmixed Write a story that includes the words, ... nothing could have prepared him for what he saw ....ORWrite a story that involves a character new to the area. A carpet salesman sold 5,000 yards of carpet in one month at an average of $3 per yard. His commission was 16%. How much money did he make that month?