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crimeas [40]
3 years ago
5

If the points A, B and C have the coordinates A(5, 2), B(2, −3) and C(−8, 3), show that the triangle ABC is a right-angled trian

gle.
Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Triangle ABC will be right-angled if 2 of its sides are perpendicular to each other. When sides are perpendicular the product of their slopes = -1.

Slope  of side AB = (-3-2)/(2-5) = -5/-3 = 5/3

Slope of side BC = (3- -3) / -8-2) = 6/-10 = -3/5

The product of the slopes = 5/3 * -3/5 = -15/15 = -1.

So AB is perpendicular to BC  and triangle ABC is right-angled .

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Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of
nikklg [1K]

Answer:

The expected value for the number of times Todd attends a concert during a month is 0.5.

Step-by-step explanation:

We have these following probabilities:

5% probability of attending a concert twice a month, which means that P(X = 2) = 0.05

40% probability of attending a concert once a month, which means that P(X = 1) = 0.4

55% probability of not attending a concert during the month, which means that P(X = 0) = 0.55

What is the expected value for the number of times Todd attends a concert during a month?

We multiply each value by its probability. So

E(X) = 0.05*2 + 0.4*1 + 0.55*0 = 0.1 + 0.4 = 0.5

The expected value for the number of times Todd attends a concert during a month is 0.5.

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3 years ago
HELP ME PLEASE!!!!
Rama09 [41]
The answer is B   
√240= √16 * √15  (√16= 4)

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5 0
4 years ago
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Write the absolute value inequality in the form lx-bl c that has the solution set x<-5 or x<7
irinina [24]
The answer is 5€7=47
4 0
3 years ago
True or False? The segment as is congruent to the segment BC.
cupoosta [38]
Yeah because both share a point ,B
8 0
3 years ago
Plzz help me i really need help guys
OverLord2011 [107]

Answer:

Figure 1: 226 ft^{2}

Figure 2: 111 mm^{2}

Step-by-step explanation:

For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.

For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.

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3 years ago
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