1. what is the value of x in the triangle? round only you’re final answer to the nearest hundredth.

2. what is the value of z in the triangle? round only you’re final answer to the nearest hundredth.

3. what is the value of x in the triangle? round only you’re final answer to the nearest hundredth.

1. X = 23.8 cm

2. Z = 12.5 Inches

3. x = 14.03 Degrees

Step-by-step explanation:

1. Given

Hypotenuse=25 cm  

Angle=18 Degrees

We will use the trigonometric ratios for right angled triangles for finding the value of X.

In the given triangle, as X is the base, we will use the ration which involves base and hypotenuse.

So,

cos⁡θ=  Base/Hypotenuse

cos⁡18=X/25

0.9510=X/25

0.9510*25=X

X=23.775

X=23.8 cm

2.The ratio of cos will be used for this one too.

Here,

Base=10 inches

Angle=37 Degrees

cos⁡θ=  Base/Hypotenuse

cos⁡37=10/Z

0.7986=10/Z

Z=10/0.7986

Z=12.521  

Z=12.5 inches

3. As we know the values of perpendicular and base ,  

So the ration which involves these both will be used.

The desired ratio is  

tan⁡ x=Perpendicular/Base

tan ⁡x=5/20

tan⁡ x=0.25

x =  tan^(-1)⁡0.25

x = 14.03 Degrees  ..

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)