Mathematics, 10.01.2021 14:00 evazquez

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points) A right triangle is shown with one leg measuring 12 and the hypotenuse is labeled 13. An angle made with the leg measuring 12 a

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Answer from: drandbone92

The value of angle x is 22.62 degrees.

Trigonometric function :

Given that, a right angle triangle, in which hypotenuse is 13 and base is 12.

A right angle triangle ABC attached below,

We have to find angle x

Apply cos of angle x in below triangle,

$cos(x)=\frac{12}{13}\\ \\cos(x)=0.92\\\\x=cos^{-1}(0.92)=22.62$

Learn more about the right angle triangle here:

link

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical

Answer from: gabistel06

Complete second part is;

A right triangle is shown with one leg measuring 12 and the hypotenuse is labeled 13. An angle made with the leg measuring 12 and the hypotenuse is marked x degrees.

22.62°

Step-by-step explanation:

I have attached an image showing the right angles triangle.

From the image, we can see that the adjacent part is 12 while the hypotenuse is 13 and the angle between the adjacent part and hypotenuse is x.

Thus, from trigonometric ratios, we can solve as;

Adj/hyp = cos x

Thus;

12/13 = cos x

cos x = 0.9231

x = cos^(-1) 0.9231

x = 22.62°

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

step-by-step explanation:

it have the same area.brainliest

Which of these shapes is congruent to the given shape ?

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