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3 years ago

Please solve:12−3∙(5+x)= Thanks!

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

8 0

Answer:

-3-3x

Step-by-step explanation:

12−3∙(5+x)=

We can simplify this expression

Distribute

12 -3*5 -3*x

Combine like terms

12-15 -3x

-3-3x

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What is three squared minus two thirds?

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three squared minus two thirds

$3^2-\frac{2}{3}$

three square = 3 x 3 = 9

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Least common factor of 1 and 3 is 3

$\begin{gathered} 3^2-\frac{2}{3}=\frac{9}{1}-\frac{2}{3} \\ 3^2-\frac{2}{3}=\frac{27-2}{3} \\ 3^2-\frac{2}{3}=\frac{25}{3} \end{gathered}$

Three squared minus two third is twenty five by three.

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The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

Lelechka [254]

Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.