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3 years ago

What is the length of leg s of the triangle below?

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Hey there!

There are a few ways to do this, but I'll give you the one I can explain best.

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

Your answer is 3, or option D.

Hope this helps!

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At a movie theater, tickets for children cost $6.05 each and adult tickets cost $8.75 each. If ticket sales for a group of 35 pe

insens350 [35]

Answer:

More unknown than equations, the answer cannot be determined

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

"x" is the number of children's tickets

"y" is the number of adult tickets

Thus:

blank * x + 8.75 * y = 259

x + y = 35

which means that the number of children in the group cannot be calculated with the supplied data, this is because we have 3 unknowns and there are 2 equations, which means that the system has no solution.

If we assume a value, for example, $ 5

We can solve:

5 * x + 8.75 * y = 259

x + y = 35 => x = 35 - y

replacing we have:

5 * (35 - y) + 8.75 * y = 259

175 - 5 * y + 8.75 * y = 259

- 5 * y + 8.75 * y = 259 - 175

3.75 * y = 84

y = -84 / 3.75

y = 22.4

Thus:

x = 35 - (22.4) = 12.6

there being then 22 adults and 13 children.

6 0

4 years ago

Angle x is the largest angle in triangle XYZ. Angle y is the smallest angle. How does the sum of the measures of angles y and z

ratelena [41]

Knowing that the angles of the triangle has a total of 180 degrees, so we can have the following:

x + y + z = 180
y + z = 180 - x
or
x = 180 - y - z

In this approach, we can't give the actual values since there are no values presented.

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3 years ago

What is -3(2 - x) = 9x

Romashka [77]

Answer:

-1=x

Step-by-step explanation:

You multiply the -3 into the (2-x). which gives you -6+3x=9x. Know you wanna get ride of the 3x so you subtract from both sides, which then gives you. -6=6x. From here were gonna need to get x by itself so you divide both sides by 6.

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So...we can write eqn as

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so. -10x=-50
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nataly862011 [7]

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