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Vedmedyk [2.9K]
2 years ago
14

I need help on this question

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
5 0

Answer:

the first one

Step-by-step explanation:

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Can some help on these 2
Neporo4naja [7]

I'll help with number 5 since number 4 is a bit too small and squished to read.

Check out the attached image below for the full two-column proof. The added entries are in red.

The given statement is basically what the teacher shows at the top of the problem, which is the fact that angle 5 and angle 2 are congruent. You just repeat this statement.  

The reason for statement 2 is that angle 2 and angle 4 are vertical angles. They are opposite angles formed by a pair of intersecting lines. This is the vertical angle theorem at work. We'll use the vertical angle theorem again for statement 4 when we say that angle 5 and angle 8 are the same measure.

The transitive property comes into play when we connect angles 2, 5, and 4 together, which helps us get line 3. We also connect angles 4, 5 and 8 together to get the last line, which is why the reason for statement 5 is "transitive property"

7 0
3 years ago
A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. ​a) The card is a diam
Inga [223]

Answer:

a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

a)

Let A denotes the event that the card is a diamond​ and B denotes the card is red.

P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}

b)

Let A denotes the event that the card is red​ and B denotes the card is diamond.

P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}

c)

Let A denotes the event that the card is nine and B denotes the card is red.

P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}

d)

Let A denotes the event that the card is a king and B denotes the card is a face card.

P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}

7 0
2 years ago
Find the value of of 8 4/3
Fantom [35]

Answer:

32/3

Step-by-step explanation:

Hope it helps you to

5 0
3 years ago
Read 2 more answers
In ABC, if CB AC≅ , m∠A = 3x + 18, m∠B = 7x – 58, and m∠C = 2x – 8, find x and the measure of each angle.
lesya692 [45]

9514 1404 393

Answer:

  x = 19

  A = 30°

  B = C = 75°

Step-by-step explanation:

In an isosceles triangle, the angles opposite the congruent sides have the same measures.

  A = B

  3x +18 = 7x -58

  76 = 4x . . . . . . . . add 58-4x

  19 = x . . . . . . . . . divide by 4

Then the equal angles measure ...

  A = B = 3(19) +18 = 75

  C = 2(19) -8 = 30

Angles A, B, C measure 75°, 75°, 30°, respectively.

_____

<em>Alternate solution</em>

The sum of angles in a triangle is 180°, so you could write ...

  (3x +18) +(7x -58) +(2x -8) = 180

  12x = 228 . . . . . add 48

  x = 19 . . . . . divide by 12

6 0
2 years ago
Help on this question
ad-work [718]

Answer:

is it me or can I not see anything

6 0
3 years ago
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