Answer:
Let coordinates of vertex D be (x,y)
In parallelogram diagonals are bisect each other.
∴ Mid-point of AC= Mid-point of BD
⇒ (
2
3+(−6)
,
2
−4+2
)=(
2
−1+x
,
2
−3+y
)
⇒ (
2
−3
,
2
−2
)=(
2
−1+x
,
2
−3+y
)
⇒ (
2
−3
,−1)=(
2
−1+x
,
2
−3+y
)
Now,
⇒
2
−3
=
2
−1+x
⇒ −6=−2+2x
⇒ −4=2x
∴ x=−2
⇒ −1=
2
−3+y
⇒ −2=−3+y
⇒ 1=y
∴ y=1
∴ Coordinates of vertex D is (−2,1)
If you would like to know what is the sum of 667 and 23, you can calculate this using the following steps:
the sum of 667 and 23:
667 + 23 = 690
The correct result would be B. 690.
Answer:
54.5%
Step-by-step explanation:
Given data
Cost price= $15
Selling price= $33
Mark up percent =????
%markup= selling-cost/selling*100
substitute
%markup= 33-15/33*100
%markup= 18/33*100
%markup=0.545*100
%markup= 54.5%
Hence the Percent markup is 54.5%
Rate = 2 seats/11 minutes = 2/11 seats/min
Therefore the time required for s seats is
That is,
m = (11s)/2 min
When s = 16, obtain
When s = 19, obtain
Answers:
When s = 16, m = 88 min
When s = 19, m = 104.5 min
Step-by-step explanation:
We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.
-2x+7>17
subtract 7 on both sides
-2x>10
divide by -2. remember that dividing by a negative flips the greater than or less than sign.
x<-5
the answer is D
