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3 years ago

What is the length of CD¯¯¯¯¯¯¯¯?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

Answer:

23 units

Step-by-step explanation:

Since both lines are chords, they're equal in length. This means we can set them equal to each other.

2x + 2x +2 = 15 + 8

This becomes 4x + 2 = 23.

Subtract two from each side to get 4x = 21.

Now divide by 4 to isolate x.

This makes x = 5.25.

Now we take the 5.25 and substitute it into the 2x + 2x + 2. This equals 23 units

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Whats 2/3x+3/7=1-4/7x

Juliette [100K]

Answer:

$x=6/13$

Step-by-step explanation:

So we have:

$\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x$

Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.

The denominators are 3 and 7.

The LCM of 3 and 7 is 21. Thus, multiply everything by 21:

$21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)$

Distribute:

$\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x$

Simplify the fractions:

$14x+9=21-12x$

Add 12x to both sides:

$26x+9=21$

Subtract 9 from both sides:

$26x=12$

Divide both sides by 26:

$x=12/26$

Reduce:

$x=6/13$

And that's our answer :)

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