What is the measure of angle X? Enter your answer as a decimal in the box. Round only your answer to the nearest hundredth. ° triangle x y z with right angle y. x y equals 13. y z equals 84. x z equals 85

I have attached a diagram of the triangle described.

We can use any of the trigonometric functions to find angle x. Remember, SOH CAH TOA. And since we're finding the angle, we'll need to use an inverse trigonometric function. For this problem, I'll be using the sine function.

sin(x) = 84 / 85

x = sin^-1(84/85)

x = 81.2026 degrees (feel free to round to however many places you need)

Hope this helps!! :)

160

step-by-step explanation:

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is