When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
Answer:
A. -4
Step-by-step explanation:
For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.
You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.
The value of b is 61°.
you solve by doing this:
add up the two given angles, 58° and 61° to get 119°. then you subtract from 180° to get 61.
Answer:
Step-by-step explanation:
We can calculate probability by looking at the outcomes of an experiment or by reasoning about the possible outcomes.
Answer:
Z=2.36
P=0.0091
Step-by-step explanation:
The hypothesis is:
π > 0.55 which is the population proportion
The formula to get the test statistic is
Zstat = P-π/√π(1-π)/n
P =507.4/860 = 0.59 (sample proportion )
n =860 (sample size)
π =0.55(population porportion)
Zstat = 0.59-0.55/√0.55(1-0.55)/860
Zstat =2.36
From Z table the probability of Z score of 2.36 is 0.9909
To calculate for P- value will then be
P= 1 - 0.9909
P= 0.0091
