CAN SOMEONE HELP (AND HELP ME UNDERSTAND)

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.

Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.

Selection C is appropriate.

_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.

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Math question.

Oduvanchick [21]

Answer:

C) 25%

Step-by-step explanation:

let salt be 's'

let water be 'w'

$\frac{s+1}{w+s+1} = 33\frac{1}{3} \\\\\frac{s+1}{w+s+1} = \frac{1}{3} \\\\\frac{w + s + 1}{3} = s+1\\\\3s +3 = w+s+1\\w = 2s+2\\\\\frac{s+1}{w+1+s+1} = \frac{3}{10} \\\\\frac{3(w+s+2)}{10} = s+1\\\\3w+3s+6 = 10s+10\\**w = 2s+2\\3(2s+2) + 3s + 6 = 10s+10\\\\6s+6+3s+6 = 10s+10\\9s+12 = 10s+10\\-s = -2\\s = 2\\\\w= 2s+2\\w=2*2+2\\w = 6\\\\\frac{2}{2+6} = \frac{2}{8} = 0.25$