Which expressions are equivalent to 12r-5?

Mathematics

1 answer:

NikAS [45]3 years ago

3 0

Answer:

The first answer(A) ans the second one(B)

Step-by-step explanation:

A. I did the operations in the parenthesis first and then did the distributive property. I then simplified.

6(2r+(-1))+1

6(2x-1)+1

12x-6+1

12x-5

-4(2+(-3r))+3

-4(2-3r)+3

-8+12r+3

12r-5

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How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c

VMariaS [17]

The answer is d. 5y − x = −10. 3y − x = 24

$\frac{1}{5}x-2= \frac{1}{3}x+8=y$
⇒    $y= \frac{1}{5}x-2$
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________________________
$y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}$
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________________________
$y= \frac{x-10}{5}$ ⇒    $5y=x-10$
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________________________
$5y-x=-10$
$3y-x=24$

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2 years ago

What is the measure of arc EF in circle H?<br> O 41°<br> O 50°<br> O 114<br> O 1730

timurjin [86]

Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

Arc DE = 73°

$\angle FED=123\°$

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

$\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°$