All categories

2 years ago

Please help me answer question 12

Mathematics

1 answer:

olasank [31]2 years ago

8 0

Answer:

x = 81, y = 68, z = 99

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the triangle on the left, then

x = 180 - (36 + 63) = 180 - 99 = 81

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle on the right, thus

13 + y = x , that is

13 + y = 81 ( subtract 13 from both sides )

y = 68

Consider the triangle on the right

z = 180 - (13 + y) = 180 - (13 + 68) = 180 - 81 = 99

You might be interested in

Please help me *30 points*

sasho [114]

Answer:

number 1 is -1.5

number 2 is -2 1/6

Step-by-step explanation

7 0

3 years ago

Read 2 more answers

What is the area of the figure?

masya89 [10]

Step-by-step explanation:

∆=3*6=18

[]=5*15=75

75+18=93 in squared

3 0

2 years ago

What is the first quartile (Q1) of the data set?

KATRIN_1 [288]

Sequence = 40, 45, 48, 51, 59, 62, 69, 74

Median = 51+59 / 2 = 55
First quartile = 40, 45, 48, 51
So, it would be: 45 + 48 / 2 = 46.5

In short, Your Answer would be Option C

Hope this helps!

8 0

2 years ago

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)

Rina8888 [55]

Answer:

$g(x)=x^2+4$ and $f(x)=\frac{8}{x}$

Step-by-step explanation:

If we want to express $y$ as $y=f(g(x))$ , this means that put the function $g(x)$ into $x$ of $f(x)$ to get $y$ .

The function $y$ is given as $y=\frac{8}{x^{2}+4}$

<u>So we need to figure out a function $g(x)$ that we can put into another $f(x)$ to get $y$ </u>

If we let $g(x)=x^2+4$ and $f(x)=\frac{8}{x}$ , we can clearly see that putting g(x) into x of f(x) will give us $\frac{8}{x^2+4}$ , which is y.

Hence $g(x)=x^2+4$ and $f(x)=\frac{8}{x}$

3 0

2 years ago

Read 2 more answers

In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of

vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X Southwest , Y X^2 Y^2 XY

45.96 38.76 2112.3216 1502.3376 1781.4096

46.8 45.41 2190.24 2062.0681 2125.188

47.93 15.7 2297.2849 246.49 752.501

51.78 49.58 2681.1684 2458.1764 2567.2524

52.17 44.34 2721.7089 1966.0356 2313.2178

47.36 18 2242.9696 324 852.48

Total 292 211.79 14245.6934 8559.1077 10392.0488

Sample size: n =6

Now

$S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27$

$S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03$

$S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94$

The coefficient of correlation is :

$r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436$

7 0

2 years ago