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olganol [36]
3 years ago
6

What is the value of a?

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

a = 62

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

a + 47+71 = 180

Combine like terms

a +118 = 180

Subtract 118 from each side

a+118-118=180-118

a =62

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John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart
Rina8888 [55]
<h2>Answer:</h2>

Probability=\frac{1}{24}

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is \frac{1}{24}</u></em>

3 0
3 years ago
A train traveling 90mph takes 4 seconds to completely enter a tunnel and 40 additional seconds to pass through the tunnel.
Sunny_sXe [5.5K]
90miles/hour
divide by 360 to convert to miles per second
multiply by 5280 to get to feet per second
multiply by number of seconds to get length (in feet) of each object
4 0
3 years ago
If John has pairs of red, orange, yellow, blue and green socks, how many can he wear them in over 5 days, repetition is allowed
iren [92.7K]

Answer:

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

Step-by-step explanation:

John has pairs of red, orange, yellow, blue and green socks.

Which means that John has 5 different colors pairs of socks.

We are asked to find out in how many ways can he wear them over 5 days.

1st Day:

On the first day John has 5 ways to choose from.

2nd Day:

On the second day John has 5×5 ways to choose from.

(Since repetition is allowed)

3rd Day:

On the third day John has 5×5×5 ways to choose from.

4th Day:

On the fourth day John has 5×5×5×5 ways to choose from.

5th Day:

On the fifth day John has 5×5×5×5×5 ways to choose from.

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

7 0
3 years ago
Can the sides of a triangle have lengths 2, 8, and 19?
Ber [7]

Answer:

No

Step-by-step explanation:

NO...... any two sides added together must be GREATER THAN the third side .... 2 + 8 is NOT greater than 19

4 0
2 years ago
When you bundle ten tens together they make 100, or a hundred
Ket [755]
100 is your answer!!!!!!
8 0
3 years ago
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