Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46
Answer:
80 roses
Step-by-step explanation:
Divide 100 by 5 to find the unit rate, which is 20 roses for every flower arrangement. Multiply 20 by 4 to find how many roses the florist would use for 4 arrangements.
Answer : $18.75
Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours and her gross pay was $575.
Total hours worked = 44 hours
Normal 40 hours + 4 hours extra
Let x be the amount earned for 1 hour for regular 40 hours
1.5x be the amount earned for extra hours
40 (amount earned for normal hours ) + 4(amount for extra hours ) = gross pay
40x + 4(1.5x) = 575
40x + 6x = 575
46 x = 575
Now divide both sides by 46
x = 12.5
1.5x is the amount earned for extra hours
1.5 * 12.5 = 18.75
Bethany earn for each hour of overtime she worked is $18.75
If you want this simplified then
24/8
turns into
12/4
turns into
6/2
turns into
3/1
3 cookies for every 1 drink
