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likoan [24]
3 years ago
6

In a​ triangle, the measures of the three angles are​ x, x + 12 ​, and x-9. What is the measure of each​ angle?

Mathematics
2 answers:
Wittaler [7]3 years ago
8 0

Answer:

x+(x+12)+(x-9)=180

3x+12-9=180

3x=180-3

3x=177

x=177/3

x=59

Each angle is 59°, 71° and 500°

ExtremeBDS [4]3 years ago
7 0
X + x + 12 + x - 9 = 180
3x = 180 - 12 + 9
3x = 168 + 9
3x = 177
x = 59 degrees

Angle 1 = 59 degrees
Angle 2 = 59 + 12 = 71 degrees
Angle 3 = 59 - 9 = 50 degrees
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nordsb [41]
Ok so if you did 156-6 (considering it was 6 more you want to subtract it) and then because the girls was doubled the boys (you are now at 150) you must divide that by 3 which will give you 50. But you need to double it (for girls) which is 100 and then you have 50 left over which is for the boys. Boys=50 girls=106
8 0
3 years ago
What is the product of 3/7 and 3/8?​
bixtya [17]

Answer:

9/56

Step-by-step explanation:

..................

7 0
3 years ago
What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus
Monica [59]

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtained by dividing a number with another. Let a number <em>a</em> is divided by number b. Then the quotient of these two number will be,

q=\dfrac{a}{b}

Here, (a, b) are the real numbers.

The given division expression is,

\dfrac{x^2+3x+2}{x+1}

Let the quotient of this division problem is f(x). Thus,

f(x)=\dfrac{x^2+3x+2}{x+1}

Factor the numerator expression as,

f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

brainly.com/question/673545

5 0
2 years ago
Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin
NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)  

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Confidence interval

Assuming that \bar X =5.5 and the ranfom sample n=1086.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=1086-1=1085

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that t_{\alpha/2}=2.33

Now we have everything in order to replace into formula (1):

5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139    

5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861

So on this case the 95% confidence interval would be given by (5.139;5.861)    We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0
3 years ago
PLEASE HELP ME!!!!!! CLICK ON THIS PLEASE
Serhud [2]

Answer:

a) ok, heres what u graph, and ur ordered pairs

graph the following points:

(0,0) (1,5) (2,10) (3,15) (4,20) (5,25) (6,30) (7,35), and so on

b) One of the ordered pairs I can use is (1,5). This is beacuse the ordered pair explains that for every video game (x), 5 will be the cost (y).

7 0
3 years ago
Read 2 more answers
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