Please help due tomorrow

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer: x= 2.5, y = 10

Step-by-step explanation:

<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>

If they're proportional, you can set up two proportions:

$1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}$

And cross-multiply:

$1) 6x = 5*3 \\\\2) 3y = 5*6$

Then solved for x and y:

$1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10$

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Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ

PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that $XY = 10$ , which means $WO=\frac{XY}{2}=\frac{10}{2}=5$ , by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means $\angle OWZ = 90\°\\$ and $\triangle OWZ$ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.