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Evgen [1.6K]
3 years ago
14

Find the value of x HELP PLS

Mathematics
2 answers:
ale4655 [162]3 years ago
5 0

2x - 15 = x + 30

2x - 15 + 15 = x + 30 + 15

2x = x + 45

2x - x = x - x + 45

x = 45

Novay_Z [31]3 years ago
3 0

Answer:

x=45

Step-by-step explanation:

both angles are opposite angles with the same measurements

Set your formula up as

x+30=2x-15

30=2x-15-x

45=x

Now substitute 45 in place of x

x+30

45+30 = 75

2x-15

2*45-15 = 75

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The formula for the area of a triangle is A = 1/2bh. Solve for h.
Hitman42 [59]

Answer:

h = 2A/b

Step-by-step explanation:

The given area triangle is denoted by:

A=1/2bh

By solving for "h", we're simply asked to make "h" the subject of the formula, that is putting "h" on one side of the equation and all other variable/values on the other side of the equation.

By doing this, we move other variables presently on the right side with "h" and the left hand side of the equation takes them all except "h", then we have:

2A/b = h.

6 0
4 years ago
Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end
Semmy [17]

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

7 0
3 years ago
A sphere has a radius of 6. Using 3.14 for pi, what is the volume?
sp2606 [1]

Answer:

v= 904.78

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLZ HELP PLZ 100 POINTS SO IMPORTANT BRAINLIEST
snow_tiger [21]

Answer:

only the first two i am pretty sure thw other ones make any sense  

Step-by-step explanation:

4 0
3 years ago
The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
3 years ago
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