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Fofino [41]
3 years ago
13

Find the angle measures of a triangle if the first angle is thirty-one degrees more than the second, and the third is five degre

es less than twice the first. Show the equation as well as the complete answer. (Hint: The sum of the interior angles of a triangle is 180 degrees)
Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

23°, 54°, 103°

Step-by-step explanation:

let the2nd angle = x

1st angle = x + 31

3rd angle = 2(x + 31) - 5 = 2x + 62 - 5 = 2x + 57

Sum the 3 angles and equate to 180

x + 31 + x + 2x + 57 = 180 , that is

4x + 88 = 180 ( subtract 88 from both sides )

4x = 92 ( divide both sides by 4 )

x = 23

Then

1st angle = x + 31 = 23 + 31 = 54°

2nd angle = x = 23°

3rd angle = 2x + 57 = 2(23) + 57 = 46 + 57 = 103°

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Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars
Liono4ka [1.6K]

Answer:

Option C is the correct answer.

C.  5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0
3 years ago
Glurpina is a polymorph alien and can grow extra limbs. Right now, she has 3 hands and can shake everyone hand at the alien conf
Wewaii [24]

She can shake everyone's hand by 9/10 hands in 3 minutes.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Glurpina is a polymorph alien and can grow extra limbs.

She has 3 hands and can shake everyone's hand at the alien conference in 10 minutes.

She can shake everyone's hand by 3 hands in 10 minutes.

She can shake everyone's hand by 1 hands in 10 / 3 minutes.

She can shake everyone's hand by how many extra hands in 3 minutes.

= 3/ 10 x 3

= 9/10

Thus, She can shake everyone's hand by 9/10 hands in 3 minutes.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ1

5 0
3 years ago
Describe methods you can use to show a proportional relationship between two variables, x and y. For each method, explain how ca
Natalka [10]
I wish i knew the answer to this question
3 0
3 years ago
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A jewlery supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57% markup
kirza4 [7]

11. 57% = 0.57

12.  retail price = c + (0.57c)

13.  retail price = 45 + (0.57 x 45)

retail price = 45 + 25.65

retail price = $70.65

14. 57% was added to the original price of the chain which is $25.65

4 0
3 years ago
Lisa spends $8.65 each week on school lunches. How much money does Lisa spend on school lunches in 16 weeks? *
FrozenT [24]

Answer:

Lisa spends $138.40 on school lunches in 16 weeks.

Step-by-step explanation:

You have to multiply 8.65 by 16, since 8.65 is how much money Lisa spends each week for lunch, then you multiply by 16 since the problem calls for 16 weeks, then you get your final answer of $138.40.

3 0
3 years ago
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