All categories

4 years ago

PLEASE HELP BRAINLIEST Find the value of x in the figure.

Mathematics

1 answer:

goblinko [34]4 years ago

6 0

Answer:

x = 27

Step-by-step explanation:

Using the information in the figure, we can conclude that the 3x - 17, x + 40, and 2x - 5 would be the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180° (use the equation: (n-2) × 180°).

By using this information, we can conclude that (3x - 17) + (x + 40) + (2x - 5) would equal 180. We can put this into the equation:

(3x - 17) + (x + 40) + (2x - 5) = 180

To find the value of x in this equation (solve for x), we would have to get the equation into the form x = _.

(3x - 17) + (x + 40) + (2x - 5) = 180

3x - 17 + x + 40 + 2x - 5 = 180

Combine like terms.

6x + 18 = 180

Subtract 18 from both sides to get rid of the +18 on the left side.

6x = 180 - 18

Simplify.

6x = 162

Divide 6 form both sides to get rid of the coefficient of 6 on the left side.

x = 162 ÷ 6

Simplify.

x = 27

x = 27

I hope this helps. :)

You might be interested in

The room numbers on one side of a school corridor are consecutive positive even integers. The product of The room numbers for tw

Vinvika [58]

Numbers are n, n+2 and we have n(n+2)=7224. Or
n^2+2n-7224=0
Using the quadratic equation
n=84. So n+2=86
The numbers are 84, 86

8 0

3 years ago

Makaila read 44 pages of her book yesterday and 2/3 of the book today. If she read a total of 200 pages in the past two days how

pogonyaev

Answer:

Total number of pages in the book is 234.

Step-by-step explanation:

Let us assume that the total number of pages in the book = x

Now, it is given that Makaila read 44 pages yesterday.

Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of x number of pages today.

Number of pages read by Makaila today = $\frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{2x}{3}$

Now, it is also given that, Makaila read a total of 200 pages in the past two days.

∴ according to question,

Pages read yesterday + Pages read today = 200

⇒ $44+\frac{22x}{3}=200$

⇒ $\frac{44\times3+2x}{3}=200$

⇒ $\frac{132+2x}{3}=200$

⇒ $132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]$

⇒ $132+2x=600$

⇒ $2x=600-132$

⇒ $2x=468$

⇒ $x=\frac{468}{2}=234$

∴ Total number of pages in the book = x = 234

6 0

3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

11 ft 15 ft 13 ft what is the volumn

MakcuM [25]

Answer:

2145 ft^3

Step-by-step explanation:

7 0

3 years ago

tamaranim1 [39]

Answer:

3000

Step-by-step explanation:

640x3 = 1920

90x12 = 1080

7 0

2 years ago

PLEASE HELP BRAINLIEST Find the value of x in the figure. ​

PLEASE HELP BRAINLIEST Find the value of x in the figure.