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3 years ago

Use special right triangles to solve for the exact value of x. 4 16 9

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

CHECK THE ATTACHMENT FOR THE FIGURE OF THE QUESTIONS

Answer:

Option A. is correct x = 4

Step-by-step explanation:

From the given figure

The adjacent of the given right angle triangle is

8 units which is the base,

Then x units is the opposite of the right angle triangle which is the height.

The hypotenuse side also has x units

Then value of x is required,

But going by right angle triangle trigonometry

cos(x) = adjacent / hypotenuse

Where adjacent= 8 unit

cos( 60) = 8/x

1/2 = 8/x

x = 8/2

= 4unit

Hence, Option A is correct, with 4 units

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=====================================================

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

-----------------

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

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