Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>
Dilation is the increase or decrease in the size of a figure by a scale factor.
Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:
Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC
Find out more on transformation at: brainly.com/question/4289712
#SPJ1
We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)

r2=(third term)/(second term)

r3=(fourth term)/(third term)

r4=(fifth term)/(fourth term)

we can see that all four ratios are same

so, this is geometric sequence
Calculation of general term:
We got
common ratio is

Let's assume
number of terms is n
first term is 2

now, we can use formula

we can plug values
and we get



..................Answer
Answer:
Step-by-step explanation:
Information given
number of people who rent their home
represent the sample size
represent the proportion of people who rent their home
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
Multiply 5 by 4.22 because 5 cups of water is 4.22 liters
Answer:
represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Step-by-step explanation:
For each point (x, y) on the graph, ž is equal to k, where k is the unit rate.