Find the exact values of x and r

Below

Step-by-step explanation:

You can use sine law to solve this : sina / A = sinb / B

We will first find side x

We know that since this is a special triangle that side will = 28, but we can prove this mathematically :

sin(45) / 28 = sin(45) / x

= 28 sin(45) / sin(45)

x = 28

Now to find side r just use Pythagorean theorem a^2 + b^2 = c^2 :

c^2 = 28^2 + 28^2

      = 1568

Square root this number

r = 39.597

The just round to however your teacher wants

If you didn't already know about special triangles, an isosceles right triangle like this one has a ratio which is the two legs will equal each other, while the hypotenuse is √2a . You could have also used this to solve.

Hope this helps! Best of luck.  

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2