Answer:
90.5398
Step-by-step explanation:
There’s no triangle shown. I think you forgot to upload the pic
<u>Solution-</u>
1- When rotating a figure 180 degrees around the origin (As it does not matter whether you move clockwise or counter-clockwise), we apply the rule (x, y) → (-x, -y).
Co-ordinates of the vertices,
P = (1, -1)
Q = (3, -2)
R = (3, -4)
And then calculating the co-ordinates of P', Q', R'
P' = (-1, 1)
Q' = (-3, 2)
R' = (-3, 4)
2- When reflecting a figure across X-axis, we apply the rule (x, y) → (x, -y).
Co-ordinates of the vertices,
P' = (-1, 1)
Q' = (-3, 2)
R' = (-3, 4)
And then calculating the co-ordinates of P'', Q'', R''
P'' = (-1, -1)
Q'' = (-3, -2)
R'' = (-3, -4)
The pattern is adding 11 each time. So the next answer would be 40, then 51, then 62, and so on.
Answer:
X = 54
Step-by-step explanation:
Let's solve your equation step-by-step.
1/2x−4=1/3x+5
Step 1: Subtract 1/3x from both sides.
1/2x−4−1/3x=1/3x+5−1/3x
1/6x−4=5
Step 2: Add 4 to both sides.
1/6x−4+4=5+4
1/6x=9
Step 3: Multiply both sides by 6.
6*(1/6x)=(6)*(9)
x=54