Answer:
Since this is a parallelogram it's congruent (the angles on one side are equal the other basically). The angles on the other side are already given and they have to be congruent to the others since it's a parallelogram. As such <TUV would be 48° and <UTV would be 54°
Answer: See the attached image
You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically
. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.
The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.
An equation is formed of two equal expressions. The solution of the equation is 41.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation,
x + 21 = 62
x = 62 - 21
x = 41
Hence, the solution of the equation is 41.
Learn more about Equation:
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Answer:
We need a sample of at least 752 students.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error of the interval is:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large of a sample must she have to get a margin of error less than 0.03
We need a sample of at least n students.
n is found when M = 0.03.
We have no information about the true proportion, so we use
.






Rounding up
We need a sample of at least 752 students.