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Lisa [10]
3 years ago
6

A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

B. 80 cm of chain weighs 2 kg.

Step-by-step explanation:

In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.

It is easier to divide the larger number by the smaller and that is what we will show here (although <em>you can do as you wish and still get the same result</em> - it's math!):

320 ÷ 8 = 40

The result we got is 40. This means that <u>the length of the chain is equal to the value of forty of its weights!</u> And this will be the operation we will perform in order to determine the right answer:

A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.

B) Does 2 (kg) multiplied by 40 equal 80 (cm)? <u>Yes, this answer is correct!</u>

Just in case, we will perform this action with the rest of the possible choices:

C) 4 kg × 40 = 160 and NOT 80 cm.

D) 2 kg × 40 = 80 and NOT 160 cm.

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What is the measurement of Angle O in parallelogram LMNO. When angle L is (x+40) and angle O is (3x)
I am Lyosha [343]

In a parallelogram, opposite angles are congruent.

This means that the four angles of the parallelogram are:

L = x+40,\quad M = 3x,\quad N = x+40,\quad O = 3x

Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.

This means

L+M+N+O = 360 \iff 2(x+40)+2(3x) = 2x+80+6x = 360 \iff 8x = 280 \iff x = 35

And since O=3x, we have O=3\cdot 35=105

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3 years ago
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3 years ago
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