B. 52.5 km
C. 50 km
D. 150 km
Answer:
C. 50 km
Step-by-step explanation:
The scale on the map is,
1 cm : 20 km,
That is, the ratio of the scaled distance and actual distance =
Let x be the actual distance between the two cities which are 2.5 cm apart on the map,
So, the ratio of scaled distance and actual distance =
Hence, the actual distance between the cities is 50 km.
Option 'C' is correct.
Answer:
- 0.3
Step-by-step explanation:
B. <HIJ congruent to <JLK by SAS
D. <HIJ congruent to <LKJ by SAS
Similar triangles may or may not be congruent.
The true statement is: A. <HIJ congruent to <LKJ by ASA
The given parameters are:
The above highlights imply that:
This means that, the angle at point J in both shapes are also congruent.
By that, the two shapes have two congruent angles and one congruent side.
So, we can conclude that, triangles HIJ and LKJ are congruent by ASA theorem of similar triangles
Hence, (a) is true
Read more about similar and congruent triangles at:
Using the binomial distribution, it is found that the expected number of heads in 500 tosses of an unbiased coin is 250.
For each coin, there are two possible outcomes, either it is heads, or it is tails. The probability of a coin being head/tails is independent of any other coin, hence the binomial distribution is used.
Binomial distribution:
Probability of x successes on n trials, with p probability.
The expected number of successes is:
In this problem:
The expected number of heads is:
A similar problem is given at brainly.com/question/24261244
Answer:
Currently, Randy has 3 rows of carrots with 3 plants in each row, which gives a total of 3 * 3 = 9 plants.
Next year, Randy plans to plant 4 times the number of rows. Therefore, he will have 4 * 3 = 12 rows of carrots.
If each row still has 3 plants, then next year Randy will have a total of 12 * 3 = 36 plants.
Answer: 36 plants
Step-by-step explanation: 4 times the amount of rows is 12 (4x3) and 12 x 3 (amount of plants in each row) is equal to 36 plants