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2 years ago

An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?

1 answer:

3 0

82 degrees and 98 degrees

First, find the original equation

180 = (x) + (x + 16)

Simplify: 180 = 2x + 16

Next, use the subtraction property of equality to subtract 16 from both sides

180 - 16 = 2x + 16 - 16

Simplify: 164 = 2x

Then, you can use the division property of equality to find the value of x

164/2 = 2x/2

Simplify: 82 = x

Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees

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Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

$P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444$

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

$P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333$

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172$

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

5 0

3 years ago

Is -5 greater than -9

sveta [45]

Answer: Yes! -5 is greater than -9, because with negatives the smaller numbers are the greatest because they are below 0. Have a good day and Good Luck!

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A w=-8 B w=-5 C w=5 D w=8

algol [13]

Answer:

Step-by-step explanation:

Plug in every scenario, in see if it equal to each other.

D is the only one that is equal.

8 0

3 years ago

Need Help ASAP 1.5x+6=2+3x 2.2(6-2y)=-1(4y-9) 3.2z-6=2(z+2)+10

zavuch27 [327]

1. 5x + 6 = 2 + 3x
-3x. - 3x
-------------------------
2x + 6 = 2
- 6. - 6
-------------------------
2x = -4
---- -----
2. 2

x = -2

2. 2(6 -2y) = -1(4y-9)
12 -4y = -4y + 9
+4y. +4y
----------------------------
.12 /=\ 9
No solution

3. 2z-6 = 2(z+2) + 10
2z -6 = 2z + 4 + 10
2z -6 = 2z +14
-2z. -2z
-6 /=\ 14
No solution.

4 0

3 years ago

working together, melissa and jing can mow a lawn in 5 hours. It would take melissa 8 hours to do the job alone. What is the val

lubasha [3.4K]

Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours

King could mow (1 / 13.33) of the lawn in one hour.

8 0

3 years ago