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Bogdan [553]
3 years ago
8

24 points!! What is the measure of angle B in the triangle?

Mathematics
1 answer:
mestny [16]3 years ago
6 0
Sum of all the angles in a triangle is 180
so, 120 + x + x+16 = 180
136 + 2x = 180
2x = 180 - 136
x = 44/2
x = 22

Now, Angle B = x = 22

In short, Your Answer would be 22

Hope this helps!
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Which unit should be used to measure the amount of water used
Vesna [10]

Answer:

iters and millimets

Step-by-step explanation:

Ur welcome:)

7 0
3 years ago
Consider rolling two fair dice one 3-sided the other 5-sided
Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

1\leq x\leq 3,\quad 1\leq y \leq 5

We have P(X=x)=\frac{1}{3} and P(Y=y)=\frac{1}{5}, because the dice are fair.

Now we use the assumption of independence to claim that

P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

  • 2 in a unique way (1+1)
  • 3 in two possible ways (1+2, 2+1)
  • 4 in three possible ways
  • 5 in three possible ways
  • 6 in three possible ways
  • 7 in two possible ways
  • 8 in a unique way

This implies that the probabilities of the outcomes of W=X+Y are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0
3 years ago
On Monday 430 students went on a trip to the zoo all 9 buses were filled and seven students had to travel in cars how many stude
tankabanditka [31]

Answer: 47 students

Step-by-step explanation:

430 students went on a trip with the majority of them going on buses.

7 students however, had to use cars.

The number of students who used buses are:

= 430 - 7

= 423 students

The number of students in each bus is:

= No. of students taking buses / no. of buses

= 423 / 9 buses

= 47 students

7 0
3 years ago
Bulletin board is 8 feet long and 5 feet wide. How many feet of border does it need?
Musya8 [376]
8 × 5 = 40

So the border has to be 40 feet.

Hope this helps!

Work:

length × width = answer

length = 8
width = 5
answer = 40
7 0
3 years ago
Read 2 more answers
Which compound inequality has no solution? x > 2 and 3x ≤ 9 x > 1 and 2x ≤ –2 x > –1 and 4x ≥ –8 x > –2 and 5x ≥ 15
antoniya [11.8K]

Answer:

4x > -8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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