Answer:
x=7, angle a= 45 degrees, angle b= 65 degrees
Step-by-step explanation:
All the angles in a triangle must add up to 180. Subtract 70 from 180, add both angle a and angle b to get 16x-2=110, solve for x, x=7. Substitute x out for 7 in the equations then simplify to get angle a=45 and angle b=65
Step-by-step explanation:
other team earned 1/3,
42/1 * 2/3 = 84/3
so 84/3 is 28
then the Falcons = 28
so other team = total score - the Falcons
which is 42 - 28 = 14
Answer:
-1
Step-by-step explanation:
we would use the slope formula which is y2-y2/x2-x1
so 3-4/5-4= -1
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
