Answer:
ABC ~ EDF
Step-by-step explanation:
By the order of the letters, we can determine which triangles are similar.
We know that Angle D is congruent to Angle B. So we have to look for a set of triangles where D and B have the same place holders.
For example, if D is the first letter, then B also has to be the first letter.
The same thing applies for Angle E, and Angle A, since they are congruent to each other.
Wherever Angle E is, Angle A has to be in that same place holder.
Triangle ABC, has Angle B, as the second angle. Therefore we know the similar triangle has to be _D_.
Similarly, Angle A is congruent to Angle E, so we know that Angle E has to be in the first place holder. ED_
By process of elimination we know that the only corresponding angles left are C and F, they must be congruent. So the last thing to write is F.
Triangle ABC ~ Triangle EDF
Answer:
The 98% confidence interval for the proportion of successful launches for the new rocket launching system is (0.553, 0.797).
Step-by-step explanation:
We have to calculate a 98% confidence interval for the proportion.
The sample proportion is p=0.675.
The standard error of the proportion is:
The critical z-value for a 98% confidence interval is z=2.326.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 98% confidence interval for the population proportion is (0.553, 0.797).
Answer:
False
Step-by-step explanation:
70 is larger than 58 to be a factor and that makes the point that this is false.
J: (3, 10)
K: (2, 8)
L: (8, 6)
Answer:
D (assuming f(x)=-3x^2+4x+6)
Step-by-step explanation:
Let's find f(2) and f(3).
I'm going to make the assumption you meant f(x)=-3x^2+4x+6 (please correct if this is not the function you had).
f(2) means replace x with 2.
f(2)=-3(2)^2+4(2)+6
Use pemdas to simplify: -3(4)+4(2)+6=-12+8+6=-4+6=2.
So f(2)=2
f(3) means replace x with 3.
f(3)=-3(3)^2+4(3)+6
Use pemdas to simplify: -3(9)+4(3)+6=-27+12+6=-15+6=-9
So f(3)=-9
-9 is smaller than 2 is the same as saying f(3) is smaller than f(2) or that f(2) is bigger than f(3).