Check the picture below, notice those three quadrilaterals, bearing in mind that a square and rhombus both have equal sides all around.
Length of AB is 18
Step-by-step explanation:
- Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.
sin 60 = opposite side/hypotenuse = 9√3/x
x = 9√3/sin 60
= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)
= 18
The line can be written in the form y=mx+b. Plugging -2 in for m , 1 in for x, and -3 in for y, we get -3=-2*1+b=-2+b. Adding 2 to both sides, we get b=-1 and our equation turns into y=-2x-1 since y and x stay variables. Plugging it into a graphing calculator, we get in (0,b) that b = -1
Equation: 0.5x + 8.3
Plug in 12 for x and solve