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3 years ago

What is the value of x.

Mathematics

1 answer:

charle [14.2K]3 years ago

5 0

Answer:

$x=13$

Step-by-step explanation:

The angle on a straight line is always 180 degrees.

Thus,

$(12x-26)+50=180$

Remove the brackets:

$12x-26+50=180$

$12x+24=180$

Subtract 24 from both sides:

$12x+24-24=180-24$

$12x=156$

Divide both sides by 12:

$\frac{12x}{12}=\frac{156}{12}\\$

$x=13$

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Find the number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4. Hint consider the

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Answer:

1364 is the number of possibilities for positive integers less than 1,00,000.

Step-by-step explanation:

1. 5 digit numbers:

We have 5 places here, and each place can have 4 options because repetition is allowed.

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$4 \times 4 \times 4 \times 4 \times 4\\ \Rightarrow 1024$

2. 4 digit numbers:

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So, total number of possibilities for 4 digit numbers:

$4 \times 4 \times 4 \times 4 \\ \Rightarrow 256$

3. 3 digit numbers:

We have 3 places here, and each place can have 4 options because repetition is allowed.

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4. 2 digit numbers:

We have 2 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 2 digit numbers:

$4 \times 4 \\ \Rightarrow 16$

5. 1 digit numbers:

We have 1 place here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 1 digit numbers:

$4$

We can add all the above possibilities to find the total.

So, number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = 1364

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Answer:

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Step-by-step explanation

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4 years ago

What is the value of x.​

What is the value of x.