PLEASE HELP! THANKS! The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x. What is the measure of the smallest angle? A.) 13 degrees B.) 23 degrees C.) 29 degrees D.) 40 degrees please show how to solve this I GIVE THANKS!!!

Answers

Answer 1

Answer: So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...

(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13

Now we can substitute 13 into each expression to find the value of each angle...

2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees

3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees

9x =
9(13) = 117 degrees

So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.

The smallest is 27 degrees

** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).

Related Questions

In the rectangular prism above, BF = 20 units, EF = 11 units, and BC = 9 units. If the rectangular prism is divided into two parts by a plane parallel to face DCGH, which of the following best describes the resulting cross-section of the prism?A. a rectangle with a length of 20 units and a width of 9 units B. a rectangle with a length of 11 units and a width of 9 units C. a square with side lengths of 20 units D. a rectangle with a length of 20 units and a width of 11 units
Find the surface area of a melon with circumference of 18 in. Round your answer to the nearest square inch.
What is the solution to the system of equations?O (-20, 10)O (10,--20)O (10,4)O (4, 10)
988 divided by 96 = what
A new teen magazine has a readership goal of 3.5 million. It's current readership is 2.8 million. How much does its readership need to increase to meet the goal?

Mr. John Doe was figuring out his federal income tax. His income was $26,800, but he was able to subtract $5,500 in deductions. He paid 15% of the remaining income tax. How much did he pay?

Answers

Okay so the income tax minus the deductions will come to:

26,800 - 5,500 = 21,300

So remaining tax is 21,300.

To show that he paid 15% of it, we do:

15/100 (21300) = 3,195

So he already paid $3,195 of his income tax.

What is the sales tax of $178.90 if the tax rate is 5.75%

Answers

Hello,

Shall we begin?

Informations:
Price : 178.90
tax : 5.75% = 5.75 /100 = 0.0575

= 178.90 * 0.0575
= 10.29

Answers: tax 10.29

How do you find the powers of 3 that range through 1000

Answers

10×10×10 that how u get 3 powers of 1000

Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)

Answers

$\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\n4x+5y=19\end{array}\right\n\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\n4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\n\underline{+\left\{\begin{array}{ccc}35x-15y=225\n12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\n.\qquad47x=282\qquad\text{divide both sides by 47}\n.\qquad \boxed{x=6}\n\n\text{Put the value of x to the second equation}$

$4(6)+5y=19\n\n24+5y=19\qquad\text{subtract 24 from both sides}\n\n5y=-5\qquad\text{divide both sides by 5}\n\n\boxed{y=-1}\n\nAnswer:\ \boxed{x=6\ and\ y=-1}$

6,-1 this is the answer

The graph below shows the cost of pens based on the number of pens in a pack.What would be the cost of one pen?A. $1.50
B. $2.30
C. $6.00
D. $13.50
(Worth 10 points!)

Answers

Answer:

A. $1.50

Step-by-step explanation:

Based on the graph, the cost of the pencils is the same regardless of the number bought, so the equation is linear. You can find the rate, or cost per pencil, by first using two points:

(5, 7.5) and (3, 4.5)

Slope formula: $((y_(2)-y_(1)))/((x_(2)-x_(1)))=((7.5 - 4.5))/((5-3))=(3)/(2)$

In order to find the unit rate, you divide the numerator by the denominator to get the price per pencil:

3 ÷ 2 = $1.50 per pencil

Step-by-step explanation:

THE ANSWER IS A BEACUSEETHY KEEP ADDING 1.50

3 quart 1 pt =______pints 2 gallons I quart =______quarts
1 qt I cup =_____cups
6 quart 3 cups -=_______cups
21 pints 1cup -= ________cups
1 gallon 7 cups=______cups
2 gallons 8 pints = _____gallon
3 pints 6 cups=_______cups
4 gallon 3 quarts =_______quarts
3 quart 2 cups =_______cups
8 quart 1 pint =___pints
2 quart 3 cups = ______cups
9 quart 4 pints =________quart
7 quart 2 cups =_________cups
1 gallon 4 pints = _________pint
1 gallon 7 pints =__________cups
3 gallon 3 pints =________ pints
5 quart 2 cups =_________cups
2 gallon 4 cups = __________cups

!!!!!!!!!!!!PLEASE HELP ME,,

Answers

Here are the answer I got:
3 quart 1 pt= 7 pints
2 gallons I quart = 9 quarts
1 qt I cup = 17 cups
6 quart 3 cups -= 27 cups
21 pints 1 cup -= 43 cups
1 gallon 7 cups= 23 cups
2 gallons 8 pints = 3 gallon
3 pints 6 cups= 12 cups
4 gallon 3 quarts = 19 quarts
3 quart 2 cups = 14 cups
8 quart 1 pint = 17 pints
2 quart 3 cups = 7 cups
9 quart 4 pints = 11 quart
7 quart 2 cups = 16 cups
1 gallon 4 pints = 12 pint
1 gallon 7 pints = 30 cups
3 gallon 3 pints = 27 pints
5 quart 2 cups = 22 cups
2 gallon 4 cups = 36 cups
Hope this helps!

Other Questions

Which inequality is false?A.–8 > –1B.5 < 10C.–5 < –2D.14 > –9

This Venn diagram shows the pizza topping preferences for 9 students

8/5 ×4 5/7 so how much fruit do I have all together

Help please also due tomorrow so thanks also it's question number 4