Which statement correctly names the congruent triangles and justifies the reason for congruence?
2 answers:
Answer:
<h2>ΔBAC ≅ ΔDEF by AAS</h2>Step-by-step explanation:
According to the image attached, the congruence is between triangles BAC and DEF, becayse that's the corresponding order to have an actual congruence.
Notice that angle C is congruent to angle F. Also, angle A is congruent to angle E. And side AB is congruent to side DE.
Therefore, by Angle-Angle-Side Theorem, those triangles are congruent.
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Answer:
- See below
Step-by-step explanation:
<u>Given system:</u>
- y ≥ 2x + 1
- y ≤ 2x – 2
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
Answer:
0.6 is the probability of success of a single trial of the experiment
Complete Problem Statement:
In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by
What is the probability of success of a single trial of this experiment?
Options:
- 0.07
- 0.56
- 0.79
- 0.6
Step-by-step explanation:
So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:
=
now,
so,
by comparing with , we get:
μ=np=27
=3.29
put np=27
we get:
=3.29
take square on both sides:
10.8241=27-27p
27p=27-10.8241
p=0.6
Which is the probability of success of a single trial of the experiment