we are given that
two triangles are similar
so, the ratio of their sides must be same
we get

now, we can solve for x
step-1: Cross multiply both sides

step-2: Simplify left side

step-3: Subtract both sides by 2x


step-4: Divide both sides by 4

so,
............Answer
The last one......y=1/2x + 8
Answer:
D the last one
Step-by-step explanation:
Answer:
Rectangle:6+5=11(Odd)
Triangle:6+6=12(even)
Star:4+3=7(odd)
Pentagon:9+8=17(odd)
Hexagon:6+6+12(even)
Circle:4+4=8(even)
Step-by-step explanation:
Hope this helps:)
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.