Answer:
x=6
Step-by-step explanation:
A circle equals 360 degrees. There are 3 parts in this circle.
26x-6 + 17x+1 + 107 = 360
Combine like terms
43x +102 = 360
Subtract 102 from each side
43x +102-102 = 360-102
43x = 258
Divide by 43
43x/43 = 258/43
x =6
Answer:
12/51
Step-by-step explanation:
There are 13 cards for each shape in a 52-card deck
If the first card is a heart, that means the probability is 13/52 = 1/4
If the second card is a heart, that means the probability is 12/51.
Here is the answer
A≈61.94cm²
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
Answer:

Step-by-step explanation:
The vertex of this parabola is the midpoint of the focus (-2,4) and where the directrix intersects the axis of symmetry of the parabola (-2,6)
This parabola must open downwards due to the position of the directrix and has equation of the form:

where (h,k) is the vertex.
This implies that:

and

The value of p is the distance from the vertex to the focus:

We substitute all the values into the formula to get:


Or
