Both sides are identical.
Step 6 wants us to show two angles which are also two interior angles that are located on the same side.
Interior angles are angles that are INSIDE the parallel lines.
On the diagram given, there are two pairs of interior angles that are on the same side:
Angle VQT and angle ZRS
Angle UQT and angle WRS
Two interior angles on the same sides add up to 180°
The missing statement that would fit statement in Step 6 is:
m∠VQT + m∠ZRS = 180°
Answer: Second option
Your triangle has acute angles X and Y, and right angle Z.
For an acute angle A in a right triangle:
The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp
The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp
The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.
The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.
For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.
Using the ratios mentioned above for sine and cosine, you get:
sin X = opp/hyp = sqrt(119)/12
cos X = adj/hyp = 5/12
Step-by-step explanation:
Answer:
Sample: few thousand adults
Population: all the adults
Step-by-step explanation:
A sample is a subset of the population, selected randomly.
In this case:
The sample consist of the few thousand adults selected to determine the opinions about the National polls.
The population consist of all the adults belonging to the said nation.
Consider an example about the new President election.
To determine which of the two candidates (say <em>A</em> and <em>B</em>) has a higher probability of winning the President election, the election society took a random sample of voters and asked who they think will be a better president.
The sample selected will be large enough, probably 10% of the population of all voters.
From this study it can be estimated which candidate has the higher chance of winning.
