Answer: y = 90°
Step-by-step explanation:
55.30786941 = sin-1 (148/180) round to 55.3° angle x
34.69213059 = cos-1 (148/180) . round to 34.7° "angle z" at right
34.7 +55.3 = 90
Sum of All angles of the triangle = 180° 180 -90 = 90
If angle x is 55.7 and angle z is 34.7° Angle y must be 90°
Ratio of inscribed arcs = ratio of chord to diameter
This is all about proportions. You can make this into fractions:
3/5 = 12/x
A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)
So then you have this:
12/20 = 12/x
It's basically a fill in the blank from there. x= 20
Elena's team played 20 games
1) To write 0.259 as a fraction let's firstly rewrite as

2) Count the digits the dot has gone to the left. Each digit to the left means divided by ten. Like this:
3) Since it starts with a zero then it can't be a Mixed number. So it is an improper fraction. No further simplification could be done.
Distance sqrt of (x2-x1)/(y2-y1).
Distance = sqrt of 8/-7
Hope this helps!
Answer:
DF=13
Step-by-step explanation:
DE+EF=DF
2x+3+4=3x+4
2x+7=3x+4
7-4=3x-2x
x=3
DF=3x+4
DF=3(3)+4
DF=13