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3 years ago

Find the value of x

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

The larger right triangle with hypotenuse x + 5 and short leg x + 2 is similar to the smaller right triangle with hypotenuse x + 2 and short leg x.

Because of this similarity, we have

(x + 5)/(x + 2) = (x + 2)/x

Solve for x:

x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 4x + 4

x = 4

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Solve the following using pemdas 3 x 9 + 7

MAXImum [283]

27+7 = 34

so, the answer is 34

8 0

2 years ago

Fitness Explosion charges $26 per month for a membership. Fitquest charges $15 per month plus a $55 initiation fee for membershi

hjlf

So after one month, FE (fitness explosion) costs $26 and Fitquest is $70; two months it's FE = $52, FQ = $85; three months it's FE = $78, FQ = $100; four months FE = $104, FQ = $115; five months FE = $130, FQ = $130. So answer C. 5 months is correct.

3 0

3 years ago

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.2 grams with a standard deviat

Sophie [7]

Answer:

12.1%

Step-by-step explanation:

Given that:

Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}$

a) For x < 19.99 g:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{19.99-20.2}{0.18} \\\\z=-1.17$

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%

The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%

6 0

3 years ago

I WILL MA FIRST ANSWER BRANILIST The map shows the location of the houses of Dan, Joe, Lee, and the coordinates of the community

emmasim [6.3K]

Look at the coordinates. They are both negative. (-5,-1)

Let me plot all the coordinates so you can see:

Joe= (-3,4)

Dan= (1,4)

Roy= (2,-3)

Lee= (-3,-4)

The only person with coordinates that are both negative is Lee.

"C" is the answer. Lee.

I hope this helps!
~kaikers

3 0

3 years ago

What is the length of the hypotenuse of the trim angle ?

Ksju [112]

So for this, you'll be using the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ . In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be $10^2+24^2=AB^2$

Firstly, solve the exponents: $100+576=AB^2$

Next, combine 100 and 576: $676=AB^2$

And lastly, square root both sides to get $26=AB$

And in short, Line AB is 26 ft, or the first option.

7 0

3 years ago

Find the value of x​

Find the value of x