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svet-max [94.6K]
3 years ago
13

The largest angle of a triangle measures 60 more degrees than the smallest angle. The middle angle measures 30 more degrees than

the smallest. Find the measures of all three angles in the triangle.
Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:small =30 Medium= 60. Large = 90

Step-by-step explanation: small=X. M= X+30. L= X+60

X+X+30+X+60= 180

3X+90=180

-90=-90

3X=90

Divide by 3

X=30

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Pls answer this question cuz i don't know what is the answer on this one
Paha777 [63]

Answer:

1/7 because you do the inverse.

4 0
3 years ago
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A single card is drawn from a deck of 52 cards, find the following
aleksandr82 [10.1K]

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

  • There are total 52 cards.
  • 26 cards are red and 26 cards are black
  • Out of 26 red cards; 13 cards are of diamond and 13 cards are of heart
  • Out of 26 black cards; 13 cards are of spade and 13 cards are of clubs
  • In spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack

<u>a. result is a queen</u>

<em>Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart</em>

There are total 4 queens

Total number of cards is 52

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 4/52

Probability = 1/13

<u>b. result is a queen result is a face card </u>

<em>From my understanding, this question is result is a queen given that result is a face card.</em>

<em>Queen: 4 cards</em>

<em>Face card means King, Queen and Jack</em>

<em>Each set has one King, one Queen and one Jack</em>

<em>There are total 4 sets</em>

<em>Therefore, there are 4 Kings, 4 Queens and 4 Jacks</em>

<em>Face cards: 12-4 (because 4 queens have already been taken out) = 8</em>

<em>Total number of cards: 52-4 (because 4 queens have already been taken out) = 48</em>

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

<u>c. result is a heart</u>

<em>Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart</em>

Heart = 13 cards

Total number of cards = 52 cards

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 13/52

Probability = 1/4

<u>d. result is a heart | result is a red card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator</em>

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

<u>e. result is a heart result is a black card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator</em>

<em>= 26/39 = 2/3</em>

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

<u>f. result is a heart result is not a diamond</u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39</em>

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

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3 years ago
Which equation does not have the same solution as the others?
dem82 [27]
<span>The answer is B. X-9=17 
Hope this helped! :)</span>
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3 years ago
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Twenty less than 8 times a number is the same as 15 more than the number.
Nezavi [6.7K]
X-number
8x-20=15+x (subtract x)
7x-20=15 (then add 20)
7x=35 (then divide by 7)

I think you've got it from now, if not, just do 35 divided by 7. But go over the steps, so that you know how to do these types of questions.






7 0
3 years ago
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What is the slope of the line?<br><br> A. 3<br><br> B. -3<br><br> C. 1/3 <br><br> D. -1/3
Inessa05 [86]

Answer:

B. -3

Step-by-step explanation:

Starting from the y-intercept of [0, -2], you do <em>rise\</em><em>run</em><em> </em>by either moving three blocks <em>north</em><em> </em>over<em> </em>one block <em>west</em><em>,</em><em> </em>or three blocks <em>south</em><em> </em>over one block <em>east</em><em> </em>[<em>west</em> and <em>south</em> are negatives].

I am joyous to assist you anytime.

3 0
3 years ago
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