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4 years ago

1) Two angles of a triangle measure x + 9 and 2x - 7. What is the measure of the third angle as a

Mathematics

2 answers:

vampirchik [111]4 years ago

6 0

Answer:

178 - 3x.

Step-by-step explanation:

The three angles in a triangle add up to 180 degrees so an expression for the third angle is:

180 - (x + 9) - (2x - 7)

Distributing the negative over the parentheses, we have

180 - x - 9 - 2x + 7

= 180 - 9 + 7 - x - 2x

= 180 - 2 - 3x

= 178 - 3x (answer).

BartSMP [9]4 years ago

4 0

Answer:

178-3x

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

<1 +<2 +<3 = 180

Let angle 1 = x+9 and <2 =2x-7

x+9 + 2x-7 +<3 = 180

Combine like terms

3x+2 +<3 = 180

Subtract 3x from each side

3x-3x+2 +<3 = 180-3x

2+<3 = 180-3x

Subtract 2 from each side

2-2 +<3 = 180-2-3x

<3 = 178 -3x

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Convert 2/6 into a fraction with 12 as a denominator and that would be 4/12 and 5/12 > 4/12.

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3 years ago

Simplify 12 − 32 + (5 − 1)2

KatRina [158]

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5 0

3 years ago

Read 2 more answers

What is the reciprocals of the fraction 37/74

lidiya [134]

<h2>The reciprocals of the fraction $\dfrac{37}{74}$ = $\dfrac{74}{37}$ or 2.</h2>

Step-by-step explanation:

We have,

$\dfrac{37}{74}$

To find, the reciprocals of the fraction $\dfrac{37}{74}$ = ?

∴ $\dfrac{37}{74}$

Dividing numerator and denominator by 37, we get

= $\dfrac{1}{2}$

= $\dfrac{37}{74}$ or, $\dfrac{1}{2}$

We know that,

The reciprocals of the fraction $\dfrac{x}{y} =\dfrac{y}{x}$

The reciprocals of the fraction $\dfrac{37}{74}$ = $\dfrac{74}{37}$ or $\dfrac{2}{1}$

= $\dfrac{74}{37}$ or 2

Thus, the reciprocals of the fraction $\dfrac{37}{74}$ = $\dfrac{74}{37}$ or 2.

4 0

3 years ago

A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped

Aleonysh [2.5K]

Mark Brainliest please

Answer: 10 years

Explanation:

The original cost of the machine = 20000

The scrap value of the machine = 13122

Value of the machine = ( 20000 - 13122 ) = 6878

Depreciation of the machine for the first year = ( 6878 * 10 % )
= 687.8
So, the effective life of the machine is = ( 6878 / 687.8 )
= 10 years

7 0

3 years ago