Answer:
We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
Sines: sin A = a/c, sin B = b/c.
Cosines: cos A = b/c, cos B = a/c.
Tangents: tan A = a/b, tan B = b/a.
X = 3
y = -1
get the x or y by itself first (second eq. is easier)
So, x + 2y = 1
-2y -2y
Now we get:
x = -2y +1 Plug it into the other equation.
2x + 3y = 3
2(-2y +1) + 3y = 3
-4y + 2 + 3y = 3
-1y +2 = 3
+1y -3 -3 +1 y
y = -1 (plug into either eq to get x)
<span>x + 2y = 1
</span>x+2(-1) = 1
x-2=1
+2 +2
x = 3
Answer:
6 times the square root 2
Step-by-step explanation:
Hi there!
Since this is a 45-45-90 triangle, we know the sides are a, a, and a times the square root of two.
Since we can see the 6 is on of the sides that has the 90 degree corner, we know that 6 is our a.
Therefore, we know k is the hypotenuse and is 6 times the square root 2.
Hope this helped, have a great day! ^u^
