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3 years ago

How do you use the triangle sum theorem to find the measure of each angle in degrees ?!

Mathematics

1 answer:

TEA [102]3 years ago

6 0

Answer:

The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles inside a triangle add up to 180°.

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Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°

Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)

Ask in the comments below if you are not sure about something.

I hope that helps you! :D

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What is -3(-6+8)^3-2(1-3)^3

marin [14]

Assignment: $\bold{Solve \ Equation: \ -3\left(-6+8\right)^3-2\left(1-3\right)^3}$

<><><><><>

Answer: $\boxed{\bold{-8}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis

Note: $\bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}$

$\bold{-6+8: \ 2}$

[ Step Two ] Rewrite Equation

$\bold{-3\cdot \:2^3-2\left(1-3\right)^3}$

[ Step Three ] Calculate Within Parenthesis

$\bold{1-3: \ -2}$

[ Step Four ] Rewrite Equation

$\bold{-3\cdot \:2^3-2\left(-2\right)^3}$

[ Step Five ] Calculate Exponents

$\bold{2^3: \ 8}$

[ Step Six ] Rewrite Equation

$\bold{-3\cdot \:8-2\left(-8\right)}$

[ Step Seven ] Multiply

$\bold{2\left(-8\right): \ -16}$

[ Step Eight ] Rewrite Equation

$\bold{-24-\left(-16\right)}$

[ Step Nine ] Subtract

$\bold{-24-\left(-16\right): \ -8}$

[ Step Ten ] Rewrite Equation

$\bold{-8}$

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$\bold{\rightarrow Mordancy \leftarrow}$

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3 years ago

The city of Hamden received money for improvements of the town’s park. The park committee polled a random sample of 75 residents

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About a third of the residents prefer a park improvement of more trees.

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3 years ago

Read 2 more answers

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Answer:

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3 years ago

Marcus and Tony work for Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marc

vampirchik [111]

Remark
The equation is job1/ time + job2/time = job3/time

Discussion
job one is the time it takes one of the workers to complete the job.
job two is the time it takes the other workers to complete the job
job three is the time it takes to do the job together.

Givens.
Let Marcus's time = m
Let Tony's time be =t
Let their together time = t1

Equation Substitution and solution.
1/m + 1/t = 1/t1
1/6 + 1/4 = 1/t1 The common denominator on the left is 12.
2/12 + 3/12 = 1 / t1
5/12 = 1/t1 Cross multiply.
5*t1 = 12 Divide by 5
t1 = 12/5
t1 = 2 2/5
t1 = 2.4 hours

Cost
1 hour = 43 dollars for labor.
2.4 hours = x dollars for labor.

1*x = 43 * 2.4
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3 years ago

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polet [3.4K]

Answer:

$(f\circ g)(4)=31$