Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
If Gavin got 11 sweets, then the new ratio would be: 11:44:11
Colin got 44 sweets.
D. because for every hour it goes down 5 degrees and since there is a 1 hour gap in between 7 am and 9 am
Answer:
and 
Step-by-step explanation:
We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).
Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:
Vertex for this formula is given by (h,k)
Compare that with given vertex (1,-9), we get: h=1, k=-9
So plug these into vertex formula:
...(i)
Plug given point (0, -6). into (i)
Plug a=3 into (i)
Now to find x-intercept, we just plug y=0 and solve for x
Hence final answer are
and
Answer:
m∠VST = 105°
Step-by-step explanation:
Two central angles are marked as having the same measure. The measure of the corresponding arcs are the same. The sum of all arc measures is 360°.
(-37x +2) +2(-27x -3) = 360
-91x -4 = 360
-91x = 364
x = -4
m∠VST = (-27(-4) -3) = 105 . . . . degrees
