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Vlad1618 [11]
2 years ago
13

Triangle ABC id isoceles. What is the measure of C?​

Mathematics
1 answer:
valentinak56 [21]2 years ago
5 0
The measure of angle B is equal to the measure of angle C which allows us to create this equation.

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Translate to a system of equations:
omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0
3 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

3 0
3 years ago
Find the distance between the points 4,7 and -5,7
GenaCL600 [577]

Answer:

9

Step-by-step explanation:

Horizontal line from 4 to -5.

3 0
2 years ago
Read 2 more answers
Isabella's rain gauge showed 3 centimeters/cra) last Tuesday. This Tuesday,
Llana [10]
<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday,  the rain gauge showed 5 7/10  centimeters. How many more centimeters of rain  fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm​

<h3><u>Answer:</u></h3>

Option D

1\frac{9}{10}  more centimeters of rain  fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm

Also given that,

This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm

<em><u>How many more centimeters of rain  fell during the week?</u></em>

This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}

Thus 1\frac{9}{10}  more centimeters of rain  fell during this week than last week

8 0
2 years ago
In 2012 there were approximately 8,950 public libraries in the united states. A survey found that 76% of those libraries offered
Bingel [31]
6820 Libraries offered free electronic books.
3 0
3 years ago
Read 2 more answers
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