Answer:
C.
Step-by-step explanation:
Similar triangles have congruent corresponding angles, and proportional corresponding sides.
The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)
__
The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)
The remaining choices have side ratios of ...
B. DE : DF = 16 : 21 ≠ 3 : 4
C. DE : DF = 12 : 16 = 3 : 4
The set of measurements that would make ΔABC ~ ΔDEF is ...
DE = 12, DF = 16, and ∠D = 35°
1. Volume of the sphere
Choice c
2. Algebra making a token effort to pretend to be geometry. Complementary angles add to 90 degrees.
(x+1) + (x-3)=90
2x -2 = 90
2x = 92
x = 46
Angles x+1=47 and x-3=43
Choice b
3. midpoint A=-5, E=5
The midpoint is just the average of A and E, here zero, point D
choice b
4. I can't really tell if x is supposed to be an angle or a length in this figure; presumably a length. I suppose we're to assume parallel lines; so this makes similar shapes, i.e. a proportionality:
Choice a
Answer:
3.7777777777 or you could round it to 3.8
Step-by-step explanation:
Answer:
each person gets 2 1/4 of a cupcake
Step-by-step explanation:
the correct division expression is 9/4=the amount of cupcakes each person gets
Answer:
Yes, the test was conducted with a risk of a type I error.
Step-by-step explanation:
If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.
Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.
if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.
In general terms:
‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.
