Triangle BCD is rotated 80° clockwise about the origin to form ΔKLM. If m∠KLM = 30°, what is m∠BCD? A. 110° B. 30° C. 80° D. 50°
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
Given information: Triangle BCD is rotated 80° clockwise about the origin to form ΔKLM and ∠KLM = 30°.
Rotation is a rigid transformation, it means the size and shape or image and preimage are same.
Triangle BCD is rotated 80° clockwise about the origin to form ΔKLM. It means both triangles are congruent.
The corresponding parts of congruent triangles are congruent, so
(CPCTC)
The measure of angle BCD is 30°. Therefore the correct option is B.
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Given Information:
Starting population = P₀ = 45
rate of growth = 22%
Required Information:
Population every five years from this year to the year 2050 = ?
Answer:
Step-by-step explanation:
The population growth can be modeled as an exponential function,
Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.
We are given that starting population of 45 and growth rate of 22%
Assuming that the starting year is 2020,
Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.
Answer:
The no. of possible handshakes takes place are 45.
Step-by-step explanation:
Given : There are 10 people in the party .
To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?
Solution:
We are given that there are 10 people in the party
No. of people involved in one handshake = 2
To find the no. of possible handshakes between 10 people we will use combination over here
Formula :
n = 10
r= 2
Substitute the values in the formula
No. of possible handshakes are 45
Hence The no. of possible handshakes takes place are 45.