Answer: c. OSRN
Step-by-step explanation:
Sides of similar shapes are proportional.
For Rectangle LOSP,
Length = LO = 4+6+8 = 18 units
Width = OS= 12 units
Here, 
[proportionality constant]
a. For Rectangle LMQP,
Length = MQ = 12 units
Width = LM = 4 units
Here, 
LMQP is not similar to LOSP.
b. Similarly, for LNRP,
Width = LN= 4+6 = 10
length = NR = 12
LNRP is not similar to LOSP.
c. For OSRN,
Length = OS = 12
Width = ON = 8
OSRN is similar to LOSP.
d. For MNRQ,
Length= NR = 12
Width = MN = 6
MNRQ is not similar to LOSP.
Hence, the shape similar to rectangle LOSP is OSRN.
Answer:
Mika would be 84 meters ahead
Step-by-step explanation:
48/4= 12
12*3= 36
36+48=84
Total Numbers = 5
Mean (Average) = 85.2
Standard deviation = 10.70981
Variance(Standard deviation) = 114.7
Population Standard deviation = 9.57914
Variance(Population Standard deviation) = 91.76
Answer:
Engineering
Step-by-step explanation:
Start by eliminating illogical choices: dentistry, business, literature.
That leaves science and engineering.
Designs of suspension bridges usually include half parabolas or half hyperbolas, which indicates that engingeering is the logical choice here.
Science is discovery and understanding of the natural, physical world, whereras engineering is the application of knowledge and tools, of which space curves (such as hyperbolas) are one.
Holly has 20 balls, and there are 100 balls in total.
So there are 100-20 = 80 balls left.
Alex had 2 * the amount Holly had, which is 20.
So Alex has 20 * 2 = 40 balls.
Together, they have 60 balls.
Which means 100-60 = 40. So Ben has 40 balls.
Check:
Holly: 20
Alex: 40
Ben: 40
Add them: 20 + 40 + 40 = 100
