Answer:
Infinity Many
Step-by-step explanation:
x can pretty much be any number possible. It will just equal something different every time.
Answer:
im pretty sure its "D" It can contain any number of triangles greater than or equal to 4.
Step-by-step explanation:
By segment addition rule AB + BC = AC
3x + 2x - 7 = 2x + 35
3x = 42
x = 1 4
CHECK
3(14) = 42
2(14)-7= 21
-------------------
2(14)+ 35= 63
Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
Answer:
x = 52, y = 137 degrees.
Step-by-step explanation:
x = 180 - 90 - 38
x = 52 degrees (as there is 180 degrees in a triangle).
As they are the same side inner angles between 2 parallel lines:
x + (y - 9) = 180
52 + y - 9 = 180
y = 180 - 52 + 9
y = 137 degrees.
