Answer:
F=140
Step-by-step explanation:
Remember that all angles will be able to add to 720 so you should get something like this:
130+120+110+x-20+x-60+x-40=720
Then solve for x to do this:
130+120+110+x-20+x-60+x-40=720
360-120+3x=720
3x+240=720
3x=480
x=480/3
x=160
With x=160, you can plug in to solve and find that F=140
Answer:
1) x=67, y=83, z=80 2) x=5
Step-by-step explanation:
1) 28+85=113 a triangle is 180 degrees so 180-113=67 so x=67
x and y are supplementary meaning both sides equal 150 so 150-67=83
83+17=100 now going back how much did i say a triangle should equal? 180 so z is 80
2)a triangle = 180 since the triangle is a right angle it includes the angle 90 so make the equation to solve for x
180=90+8x+2+9x+3
take 90 to other side so you are subtracting 180-90
90=8x+2+9x+3
combine like terms
90=17x+5
subtrcat 5 from 90
85=17x
now divide 85 by 17 and you get x=5
Answer:
15 students do not like either sport
Step-by-step explanation:
See the attached image.
Step 1: put 35 in the "like to play both" (intersection) area.
Step 2: subtract those 35 from the 65 football players. 65 - 35 = 30 players like football but not cricket. Put 35 in the football but not cricket area.
Step 3: subtract 35 from the 55 cricket players. 55 - 35 = 20 players like cricket but not football. Put 20 in the cricket but not football area.
Step 4: Add the 30 + 35 + 20 = 85 together. So 85 players are accounted for as players of one or more sports.
Step 5: 100 - 85 = 15 must be the number of students who did not like either sport. Put 15 in the area outside both circles.
