Answer:
E. by the SAS similarity theorem.
Step-by-step explanation:
Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)
DC/BC = 240/150 = 1.6
EC/AC = 320/200 = 1.6
This implies that the ratio of two corresponding sides of both triangles are the same.
Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.
Answer=42 degrees
Complementary angles= 90 degrees
90-48=42
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Answer:
y = 12
Step-by-step explanation:
The equation of the expression is given as;
2y = 24
We are to write in slope form';
In slope form, an equation is expressed as;
y = mx + c
where y and x are the intercept
m is the slope
c is the intercept
Now to write 2y = 24 in intercept form, we have;
2y = 24
divide both sides by 2;
y = 12
Answer:
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Step-by-step explanation:
We are given the following in the question:
The exponential growth model is given by:
where k is the growth rate, t is time in years and 
is constant.
The world population is 5.9 billion in 2006.
Thus, t = 0 for 2006
We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Putting these values in the growth model, we have,
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
