Answer:
4:05 PM / 16:05
Step-by-step explanation:
Time starts at 2:25.
After the ride home (15 minutes), it will be 2:40.
Then, after the bike ride it will be 3:10.
When he's finished with his homework, it will be 4:05.
Answer:
a=21
AB=23.9
BC=19.5
CD=(23.9)
AD=19.5
Step-by-step explanation:
Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:
a-1.5=19.5
add 1.5 to both sides
a=21
now substitute 21 in for a in each equation.
AB=CD so
AB=23.9
BC=AD so
BC=19.5
CD=(21)+2.9 so
CD=(23.9)
AD is given so
AD=19.5
Givens
<FOP = 2x + 2
<POQ = 10x - 8
<OF is bisects POQ
Comment
If you multiply POF (which is 2x + 2) by 2 it will be the same size as <POQ because POF is one of the bisected angles of < POQ.
Create an equation and solve
2(2x + 2) = 10x - 8 Remove the brackets.
4x + 4 = 10x - 8 Add 8 to both sides.
4x + 4 + 8 = 10x Combine like terms.
4x + 12 = 10x Subtract 4x from both sides.
12 = 10x - 4x
12 = 6x Divide by 6
x = 12/ 6
x = 2 <<<< answer A
Find <POF
< POF = 2x + 2
< POF = 2(2) + 2
<POF = 4 + 2
<POF = 6 <<<< answer B
Find <QOF
<QOF = <POF
<QOF = 6 <<<<< Answer C
Find <POQ
<POQ = 10x - 8
<POQ = 10(2) - 8
<POQ = 20 - 8
<POQ = 12 <<<<< Answer D
Answer:
m=148
Step-by-step explanation:
2=m/2 -72
2+72=m/2
74*2=m
m=148