1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slava [35]
3 years ago
9

The two triangles are similar. What is the value of x?

Mathematics
1 answer:
denpristay [2]3 years ago
3 0
[8/(2x-2)=(8+6)/(3x)
 8/(2x-2)=14/(3x)
 14(2x-2)=8(3x)
 28x-28=24x
x=7
So by using the similarity of the sides, we can make ratios that can give is the value of x.<span />
You might be interested in
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So \mu = 373, \sigma = 67

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So n = 5, s = \frac{67}{\sqrt{5}} = 29.96

This probability is 1 subtracted by the pvalue of Z when X = 410.

Z = \frac{X - \mu}{s}

Z = \frac{410 - 373}{29.96}

Z = 1.23

Z = 1.23 has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So \mu = 526, \sigma = 107

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So n = 5, s = \frac{107}{\sqrt{5}} = 47.86

This probability is 1 subtracted by the pvalue of Z when X = 410.

Z = \frac{X - \mu}{s}

Z = \frac{410 - 526}{47.86}

Z = -2.42

Z = -2.42 has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0
3 years ago
What is the value of the digit7in the population of Memphis
Keith_Richards [23]
70,00 Is the the answer
7 0
3 years ago
Hi im so good at algebra i can replace your x and you wouldnt even know y
Naddika [18.5K]

Answer:

If you were words on a page, you'd be <em>Fine Print.</em>

6 0
3 years ago
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in s
Tema [17]

Answer: -\dfrac{2\sqrt{14}}{9}

Step-by-step explanation:

Given

\cos a=\dfrac{5}{9}

a lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity \sin ^2 x+\cos^2 x=1 to find sine value

\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}

\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}

8 0
2 years ago
Shawn found that a solution of x = 3 was extraneous for his function. What would be a possible denominator in Shawn's function?
Alex_Xolod [135]

Your answer is B. x2 -2x -3

Hope this helps!!

6 0
2 years ago
Read 2 more answers
Other questions:
  • Cape Hatteras Lighthouse was built in 1870 and rises 208 feet above sea level. From the top of the lighthouse, the lighthouse ke
    9·1 answer
  • Graph the equation by translating y = |x|.
    11·1 answer
  • Write a polynomial of least degree with roots 6 and. -8
    11·1 answer
  • Solving equations-variables on both sides!
    13·1 answer
  • Solve the system 8x + 2y = -3, 3x - 2y = 8
    8·1 answer
  • WILL GIVE YOU BRAINLIEST
    7·1 answer
  • Which inequality represents the stated situation : A theater is made to receive no more than 750 spectators. Group of answer cho
    10·1 answer
  • PlEASE help so confused? <br><br> THANKS
    15·2 answers
  • Solve the simultaneous equations
    14·2 answers
  • Write an equivalent expression in simplest form. 3+2(5x)-7
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!