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  ..

answer: i literally just answered this question but they want me to do it again

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)