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Svetach [21]
2 years ago
11

Given triangle JKL find m

Mathematics
1 answer:
timama [110]2 years ago
3 0
I would set all 3 given measures equal to 180.
13x-9+4x+11+2x+7 = 180
19x +9 = 180
19x = 171
x= 9

angle l = 4 (9) + 11= 47
answer = 47
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600 can be written as 2a x b x cd where a,b,c and d are all prime numbers find the values of a, b, c and d
mihalych1998 [28]
The prime factorisation of 600 is given by

600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 = 2^3 \times 3 \times 5^2

Therefore, a = 3, b = 3, c = 5 and d = 2.
4 0
2 years ago
Sarah and thomas are going bowling. the probability that sarah scores more than 175 is 0.4, and the probability that thomas scor
pychu [463]

When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;

\\  
P(A\cap B)=P(A)\times P(B)

where, P(A) = probability of occurrence of event A

and P(B) = probability of occurrence of event B

(a).

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

and P(B)= Probability that Thomas scores more than 175 = 0.2

Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,

\\  
P(A\cap B)=P(A)\times P(B)\\  
P(A\cap B)= 0.4\times 0.2= 0.08\\

Hence, the required probability is 0.08

(b).

When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;

\\  
P(A\cap B)=P(A)\times P(B\setminus A)\\

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

         P(B)= Probability that Thomas scores more than 175 = 0.2

and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3

Thus, the required probability is calculated as follows;

\\  
P(A\cap B)=P(A)\times P(B\setminus A)\\  
P(A\cap B)=0.2\times 0.3=0.06



             



             


7 0
1 year ago
The probability that Evan purchases a comic book from the bookstore (event A) is 0.67, and the probability that Glen purchases a
Sveta_85 [38]
The question is asking to choose among the following choices that states the statement that is true about the said information and base on the given data, I would say the answer among them is <span>Events A and B are dependent because P(A and B) do not equal P(A) x P(B). I hope you are satisfied with my answer and feel free to ask for more</span>
7 0
2 years ago
Read 2 more answers
Factor completely.<br> ​ <br> 18b−32<br> ​<br> Enter your answer in the boxes.<br><br> ___(___)
Kamila [148]
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
5 0
2 years ago
Read 2 more answers
Mr. And Mrs. Harper are planning to install a deck and a garden. Help them determine which of the two choices below is most effi
Iteru [2.4K]

Answer:

Plan A

Step-by-step explanation:

To find the better plan, you must find which plan has a bigger area.

First, we're going to find Plan A using the area formula (A = L * W)

A = L * W

A = 18 * 25

A = 450

Now we must find the area of the garden.

A = 9 * 12

A = 108

Add both areas together to get the area of Plan A.

450 + 108 = 558. Plan A has an area of 558 feet.

Second, Now we're going to find Plan B's area using the circle formula and area formula.

To find the area of the deck, use the formula.

A = L * W

A = 16 * 20

A = 320  

Now we will find the area of the garden.

Since the garden is a circle and we are given the radius, we will use the formula A = πr²

A = 3.14 * 5²

A = 3.14 * 25

A = 78.5

Now add both areas together.

78.5 + 320 = 398.5. Plan B has an area of 398.5 feet.

558 > 398.5, so <u>Plan A is more efficient, judging solely on size.</u>

4 0
1 year ago
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