Mathematics College

The angles of a triangle add up to 180 degrees.

The second angle is 20 degrees larger than the smallest angle.

The third angle is 3 times as big as the smallest angle.

Find the measure of the smallest angle (in degrees)

Answers

Answer 1

Answer: 32 degrees

Step-by-step explanation:

small angle : x

middle angle: x + 20

large angle: 3x

Form an equation: 5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

Related Questions

2. Charlie has a collection of marbles in three sizes, small, medium, and large. He has four times as
many small marbles as medium marbles. The number of large marbles is three more than five times
the number of medium marbles.
a. Write algebraic expressions to represent the number of small marbles, medium marbles, and
large marbles Charlie has. Write algebrauc expressions to represebt the number of small marbles, medium marbles, and large marbles charlie has.

Answers

Answer:

Step-by-step explanation:

The required expression represents the number of the small marbles, medium marbles, and large marbles are m = 4s  and l = 3 + 5m.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of small marbles be s, medium marbles are m and large marble is l.
According to the question,
He has four times as many small marbles as medium marbles. The number of large marbles is three more than five times the number of medium marbles.
m = 4s
and
l = 3 + 5m


Thus, the required expression represents the number of the small marbles, medium marbles, and large marbles are m = 4s  and l = 3 + 5m.

Learn more about arithmetic here:

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Two weeks ago price was $220 now it's $325. What is the percent increase? What is percent increase if there is an additional $50 baggage fee with the new ticket price?

Answers

Answer:

68.18%

Step-by-step explanation:

325+50=375

375-220=155

155÷220×100%

≈68.18%

water cost $2 for 8 bottles orange juice cost a $1.50 for 3 bottles which is more expensive per bottle ​

Answers

I believe you can use ratios and multiply both of them like fractions to get the same amount of bottles and compare the prices fairly.


2:8 = 2/8
1.5:3 = 1.5/3


(2/8)3 = 6/24 or $6 per 24 bottles
(1.5/3)8 = 12/24 or $12 per 24 bottles


In conclusion, the latter ($1.50 for 3) costs more than the $2 per 8.


Answer:

orange juice

Step-by-step explanation:

1 water -> 2÷8

                = 0.25

1 orange juice ->1.50 ÷ 3

                    = 0.50

hence, orange juice is more expensive

Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5

Answers

Answer:

x = 3 ± √5

Step-by-step explanation:

Given:

(x - 3)² = 5

Find:

Value of x

Computation:

(x - 3)² = 5

x² - 6x + 9 = 5

x² - 6x + 4 = 0

x = [-b ± √b² -4ac] / 2a

x = 3 ± √5

22c + 33d?
Chose three answers

Answers

Answer:

55cd

Step-by-step explanation:

Elizabeth has $72 to spend on painting supplies needed to repaint her house. Rollers
cost $4 each, and paintbrushes are $3 each. She needs at least 15 rollers and
paintbrushes combined and wants at least five of each.

Answers

4(15) + 3x = 72
60 + 3x = 72
3x = 12
x = 4
Answer: 4 paintbrushes

describe a family member in 3-5 sentences (use nouns) make it easy and simple please!!

Answers

Ok! ———- is ———- because of ————. They have ———- hair color and ———— eye color. I think they are ———— because of ————. They like to —————- because —————.

help me plis What is the exact measurement of the line segment? A. B. C. D.

Answers

Answer: where is the line segment

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1) It's February and you go to the store to buy some food for your pets. You have a Great
Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food
cost $60 for the big bag and he eats that in one week. The Savannah cats food cost
$15 a bag and it lasts him one week as well. You are there to buy food for the month
and have no more than $300 total to spend. Can you afford a month's worth of food?
a) If you bought the cat 6 weeks worth of food, how many weeks worth can you
buy your Great Dane?

Answers

Question:

1) It's February and you go to the store to buy some food for your pets. You have a Great

Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food

cost $60 for the big bag and he eats that in one week. The Savannah cats food cost

$15 a bag and it lasts him one week as well. You are there to buy food for the month

and have no more than $300 total to spend. Can you afford a month's worth of food?

a) If you bought the cat 6 weeks worth of food, how many weeks worth can you

buy your Great Dane?

Answer:  Yes you can afford
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