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Zigmanuir [339]
2 years ago
6

(write and solve an algebraic equation to find the measure of each angle based on the given description.)

Mathematics
1 answer:
Semenov [28]2 years ago
6 0

Answer:

The angles are 78° and 102°.

Step-by-step explanation:

Let the one angle is y and the other number if y + 24.

The sum of the angles of the linear pair is 180°.

So, according to the question

y + y + 24 = 180

2 y = 180 - 24

2 y = 156

y = 78°

So, one angle is 78° and the other is 78° + 24° = 102°.

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Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.
horrorfan [7]

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

3 0
3 years ago
If u have 3 dice what is the probability that they will all land on the same number
Sveta_85 [38]

Answer:(1/6)3

or 1/216

Step-by-step explanation:

You have a 1/6      chance of getting the first number.1/6  

chance of the second and so on. Is it just        

(16)3

6 0
3 years ago
Find the value of x.
Anna [14]

Answer:

55.7°

Step-by-step explanation:

I hope this helps.

7 0
3 years ago
Fast forward a few years...and suppose you need to get your car repaired. You see the ads above. Your father, who knows a bit ab
katovenus [111]

Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired

-Mike Cost:: M(3) = 100 +65*3 = $295

-Amy Cost:: A(3) = 40 + 80*3 = $280

------------------------------------------------------------

-Mike charges 100 dollars service charge plus 65 dollars per hour.

-Amy charges 40 dollars service charge plus 80 dollars per hour.

-The cost to repair from mike is 100 + 65 * x.

-The cost to repair from amy is 40 + 80 * x.

------------------------------------------------------------

Let x = 3 and you get:

The cost to repair from mike is 100 + 65 * 3 = 295 dollars.

The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.

As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.

8 0
3 years ago
Pleaseee help solve this question
miv72 [106K]

Step-by-step explanation:

???????????

no Question????

5 0
3 years ago
Read 2 more answers
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