The two triangles are similar.
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
Answer:
5 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 30 = x/15
15 tan 30 = x
15 ( sqrt(3)/3) = x
5 sqrt(3) =x
Answer:
you add all the values up on the dot plot and then you divide that number by how many dots are in the plot and that is your median.
X = gummy bears, y = jelly beans, z = gobstoppers
x + y + z = 13
x + 2y + 2z = 20
x = 3y
3y + y + z = 13
4y + z = 13
3y + 2y + 2z = 20
5y + 2z = 20
4y + z = 13....multiply by -2
5y + 2z = 20
-----------------
-8y - 2z = -26
5y + 2z = 20
---------------add
-3y = -6
y = 2........2 lbs jelly beans
x = 3y
x = 3(2)
x = 6....6 lbs gummy bears
x + y + z = 13
6 + 2 + z = 13
8 + z = 13
z = 13 - 8
z = 5........5 lbs gobstoppers
so we have : 6 lbs gummy bears (x), 2 lbs jelly beans (y), and 5 lbs gobstoppers (z)