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
Gemiola [76]
3 years ago
7

What is the exterior angle?

Mathematics
1 answer:
olganol [36]3 years ago
7 0

Answer:

angle YUT = 120

Step-by-step explanation:

in Triangle SUT

angle 70 + angle 50 + angle x = 180

 70 + 50 + x = 180

 120 + x = 180

 x = 180 - 120

 x = 60

angle SUT = 60



angle SUT + angle YUT = 180 ( straight line)

60 + x = 180

 x = 120


Therefore angle YUT ( exterior angle ) = 120

You might be interested in
0=x^2-4x+3 how many roots does this equation have
mars1129 [50]

Answer:

No complex roots; 3 real roots

Step-by-step explanation:

If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots.  In this particular case, the polynomial has three real roots, as can be determined by graphing the function.  The graph crosses the x-axis in 3 places.

5 0
3 years ago
Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh?
stepladder [879]
His purchase weighed a total of 8.2 pounds.
4 0
3 years ago
Read 2 more answers
The summer monsoon brings 80% of India's rainfall and is essential for the country's agriculture.
Natasha_Volkova [10]

Answer:

Step 1. Between 688 and 1016mm. Step 2. Less than 688mm.

Step-by-step explanation:

The <em>68-95-99.7 rule </em>roughly states that in a <em>normal distribution</em> 68%, 95% and 99.7% of the values lie within one, two and three standard deviation(s) around the mean. The z-scores <em>represent values from the mean</em> in a <em>standard normal distribution</em>, and they are transformed values from which we can obtain any probability for any normal distribution. This transformation is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

\\ \mu\;is\;the\;population\;mean

\\ \sigma\;is\;the\;population\;standard\;deviation

And <em>x</em> is any value which can be transformed to a z-value.

Then, z = 1 and z = -1 represent values for <em>one standard deviation</em> above and below the mean, respectively; values of z = 2 and z =-2, represent values for two standard deviations above and below the mean, respectively and so on.

Because of the 68-95-99.7 rule, we know that approximately 95% of the values for a normal distribution lie between z = -2 and z = 2, that is, two standard deviations below and above the mean as remarked before.

<h3>Step 1: Between what values do the monsoon rains fall in 95% of all years?</h3>

Having all this information above and using equation (1):

\\ z = \frac{x - \mu}{\sigma}  

For z = -2:

\\ -2 = \frac{x - 852}{82}

\\ -2*82 + 852 = x

\\ x_{below} = 688mm

For z = 2:

\\ 2 = \frac{x - 852}{82}

\\ 2*82 = x - 852

\\ 2*82 + 852 = x

\\ x_{above} = 1016mm

Thus, the values for the monsoon rains fall between 688mm and 1016mm for approximately 95% of all years.

<h3>Step 2: How small are the monsoon rains in the driest 2.5% of all years?</h3>

The <em>driest of all years</em> means those with small monsoon rains compare to those with high values for precipitations. The smallest values are below the mean and at the left part of the normal distribution.

As you can see, in the previous question we found that about 95% of the values are between 688mm and 1016mm. The rest of the values represent 5% of the total area of the normal distribution. But, since the normal distribution is <em>symmetrical</em>, one half of the 5% (2.5%) of the remaining values are below the mean, and the other half of the 5% (2.5%) of the remaining values are above the mean. Those represent the smallest 2.5% and the greatest 2.5% values for the normally distributed data corresponding to the monsoon rains.

As a consequence, the value <em>x </em>for the smallest 2.5% of the data is precisely the same at z = -2 (a distance of two standard deviations from the mean), since the symmetry of the normal distribution permits that from the remaining 5%, half of them lie below the mean and the other half above the mean (as we explained in the previous paragraph). We already know that this value is <em>x</em> = 688mm and the smallest monsoons rains of all year are <em>less than this value of x = </em><em>688mm</em>, representing the smallest 2.5% of values of the normally distributed data.

The graph below shows these values. The shaded area are 95% of the values, and below 688mm lie the 2.5% of the smallest values.

3 0
3 years ago
HELP ME PLEASE ASAP
Mumz [18]
5p + 4g = 42.5 
<span>3p + 6g = 34.5 </span>

<span>15p + 12g = 127.5 </span>
<span>-6p - 12g = -69 </span>
<span>9p = 58.5 </span>
<span>p = 6.5 </span>
<span>g = 2.5 </span>

<span>popcorn = $6.50 </span>
<span>granola = $2.50
 A is the answer </span>
6 0
3 years ago
Read 2 more answers
The inverse of the function graphed below is a function.<br><br>A. True<br>B. False
Anuta_ua [19.1K]
False.  In order to have an inverse, your function must pass the horizontal line test.  The graph fails the test.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which one of the following letters would be considered formal?
    9·1 answer
  • A company paid $150,000, plus a 7% commission and $5,000 in closing costs for a property. The property included land appraised a
    11·1 answer
  • A potter makes 6 bowls in 3 hours. How long would it take the potter to make 14 bowls?
    8·2 answers
  • Fifty balls numbered 1 through 50 are mixed up in a barrel. How many balls must you draw from the barrel (without looking) to be
    5·1 answer
  • Write the quadratic equation whose roots are -1 and -5 , and whose leading coefficient is 2 . (Use the letter to represent the v
    7·1 answer
  • Need help with this question please
    15·1 answer
  • Find the number that makes the ratio equivalent to 1:2.<br> 9:
    15·1 answer
  • What is the A value in the quadratic: X^2+3x-2* ​
    12·1 answer
  • Mr. Loe gave a 15 question quiz worth 23 points. Multiple
    7·1 answer
  • What is the solution to the linear equation? 6k 10. 5 = 3k 12 k = 0. 5 k = 2 k = 7. 3 k = 9.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!