So if Beth ran the 400 meter dash in 57.2 seconds, and that time was 2.4 seconds faster than her previous time, she would have run a 59.6 second previous time. The equation would be X (current time) + Y (time difference) = Z (Previous time) we can see that her current time is 57.2 seconds, so that would replace X. We now have 57.2+Y=Z. So we can see in the problem that it was 2.4 seconds faster, so that’s the time difference. Our new equation is 57.2+2.4=Z. Now all we have to do is add 57.2 and 2.4 and you get her previous time, which is 59.6 seconds. Hope this helped! :D
Answer:
78
Step-by-step explanation:
The mean is the sum of the 5 numbers, divided by 5:
µ = (9 + 18 + 27 + 30 + x)/5 = (84 +x)/5 = 16.8 +x/5
The median of a 5-number set will be the middle number. Depending on the value of x, the mean/median may be 18, x, or 27, so we have three possible equations for x.
16.8 +x/5 = 18
x/5 = 1.2 . . . . . subtract 16.8
x = 6 . . . . . . . . multiply by 5
___
16.8 +x/5 = x
16.8 = 4/5x . . . . subtract x/5
21 = x . . . . . . . . . multiply by 5/4
___
16.8 +x/5 = 27
x/5 = 10.2 . . . . . . subtract 16.8
x = 51 . . . . . . . . . . multiply by 5
___
The sum of the possible values of x is ...
sum = 6 + 21 + 51 = 78
Tan a = opposite side/adjacent side
tan 30 = 1050/ ?
1050/tan30=?
about 1818= ?
Answer:
LF = PF given
ΔLFP is isosceles definition of isosceles triangle
∠FLP = ∠FPL isosceles triangle theorem: if two sides of a triangle are
congruent, then angles opposite those sides are
congruent.
LP = PL reflexive property
∠PDL = ∠LKP Perpendicular lines postulate (perpendicular lines form 90
degree angles)
ΔPDL ≅ ΔLKP AAS
LK = PD corresponding parts of congruent triangles are congruent
Answer: x=2
Step-by-step explanation:Algebraically solve this equation. First subtract x from 2x which gets you just x. then subract 3 from 4 which gets you 1. Then subract 1 from 3 which gets you to the equation x=2. You can plug it in and check
2(2)-3-2+4=3 which is 4-3-2+4=3 which is -1+4=3 which is 3=3 which is correct.
Hope this helps :)
