Answer:
(∠C) ≅ (∠B)
∴ tan(∠B) = tan(∠C) and
Slope AB = Slope BC
Step-by-step explanation:
Part A:
To explain why the slope from point from A to B is the same with the slope from B to C with similar triangles we have;
The angle between segment AB and the vertical is the same as the angle between segment BC and the vertical - (corresponding angles)
The angle between segment AB and the horizontal is the same as the angle between segment BC and the horizontal - (corresponding angles)
The length of a segment opposite to the angle between segment AB and the horizontal is the as the length of a segment opposite to the angle between segment BC and the horizontal
Therefore, the triangle formed by A, B and the point of intersection of the vertical line from A with the horizontal line from B is congruent to the triangle formed by B, C and the point of intersection of the vertical line from B with the horizontal line from C
Which gives the angle with the horizontal at C (∠C) is congruent to the angle with horizontal B (∠B)
The slope AB = tan(∠B)
Slope BC = tan(∠C)
(∠C) ≅ (∠B)
Therefore, tan(∠B) = tan(∠C) and slope AB = Slope BC.
Answer:
so this year she grew 14 tomatoes and 16 roma tomatoes so if u add 14 plus 16 your answer would be 30 she grew 30 tomatoes this year.
Step-by-step explanation:
Answer: - 32
Step-by-step explanation:
-8 + (-24)
Infront of the Positive is a one.
-8 +1 (-24)
If we follow order of operations which is parentheses, exponents, multiply divide, add, and subtract, we can see we need to multiply/ distribute first. And a positive times a negative is a negative.
-8 -24
Now we put the two numbers together.
-32
This is the answer
Answer: 0.0187
Step-by-step explanation:
The binomial distribution formula for probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The probability that the physics majors belong to ethnic minorities =0.33
Number of students selected : n= 8
Now, the probability that more than 5 belong to an ethnic minority :-

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187
Answer:
$8.95
Step-by-step explanation:
you add 7+6+9=22 196.90 divided by 22 is 8.95 hope this helps