The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
The answer is below....V
Step-by-step explanation:
Brainliest when you can if you will!!!!
Answer:
0.509
Step-by-step explanation:
Given that a random sample of 1016 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?"
Of the 1016 adults surveyed, 517 indicated that televisions are a luxury they could do without.
To find out the point estimate of population proportion of adults in the country who believe that televisions are a luxury they could do without.
We find that point estimate is nothing but sample proportion
Sample proportion = favourably voters/total people surveyed
= 
Answer:
a) mean = 0.2
variance = 0.0391
standard deviation = 0.198
b) The average hurricane is aprox. category 2.* (B)
Step-by-step explanation:
In order to find the mean, variance, and standard deviation, let us for a table for the data:
level x
1 0.411
2 0.278
3 0.221
4 0.080
5 0.010
Calculating the mean (
)

∴Mean = 0.2
level x
1 0.411 0.211 0.0445
2 0.278 0.078 0.0608
3 0.221 0.021 0.000441
4 0.080 -0.12 0.0144
5 0.010 -0.19 0.0361


standard deviation = √(variance)
Standard deviation = √(0.0391)
Standard deviation = 0.198
b) the average hurricane is aprox. category 2 (B)