Since this is a right triangle, you can use the pythagorean theorem, 
, to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:
In short, XY is √514, or 22.67 rounded to the hundreths, units long.
Answer: 15
Step-by-step explanation:
I am assuming the equation is set up like this:
(x+9)/3 = 8
Multipy by 3 to both sides
x + 9 = 24
Subtract 9
x = 15
Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
The answer is C (SAS)
Explanation:
AC = EC
BC = DC
angle ACB = angle DCE (Vertically Opposite Angles)
Therefore, the triangles are congruent by the Side-Angle-Side congruency
