I need the answer ASAP

1. In the figure, x is an exterior angle to the triangle below.

(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m

Solution :

It is given that :

P (positive | Has disease) = 0.7

P (positive | No disease) = 0.08

P (has disease) = 0.18

P (No disease) = 1 - 0.18

                        = 0.82

Now if test administered to the individual is positive, the probability that the person actually have the disease is

P (Has disease | positive)  [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]  ......(1)

The P(positive) is,

[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]

                = P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)

                 = 0.7 (0.19) + 0.04 (0.81)

                = 0.1654

Now substituting the values in the equation (1), we get

P (Has disease | positive)  [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]  

                                           [tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]

                                          = 0.8041  

==========================================================

Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

-------------------------

Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

Answer:

They are 20 km away from each other,

Step-by-step explanation:

1cm=5km so 4cm=20km

Answer:

20km

Step-by-step explanation:

its like 1st grade math?

also im posting so you can give the other dude brainliest

Answer:

B. [tex]x = 62[/tex]

Step-by-step explanation:

In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.

[tex]3x-36=2x+26\\[/tex]

Same to both sides:

[tex]x = 62[/tex]

Answer:1 and 1/2

Step-by-step explanation:

My answer: i need a graph

Answer:

D: 4 2/3

Step-by-step explanation:

First convert these mixed numbers into improper fractions:

8/3 x 7/4 =

(8x7)/(3x4)= 56/12.

Now simplify 56/12, which would be 14/3. Now convert this into a mixed number: 4 2/3.

What is 2 2/3 x 1 3/4                                                              estimate: 2 ₓ 4 Or 8

             5 / 2 ₓ 15/ 4 = 75/8

                               =9 3/8                                                 Convert to mixed                                  

                                                                                        number, divide 75 by 8.

Answer:

It should be the first quadrant

Hope that helps!

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Answer:

x=5Y+9, Plot on graph 1/5x-9/5

Step-by-step explanation:

The x intercept is (9,0)

The Y intercept is (0,-9/5)

Answer:

X can either be 7, or -10. You can prove this by plugging in the numbers yourself :)

Step-by-step explanation:

Please mark as brainliest

Answer:

93°

Step-by-step explanation:

In triangle ABC

one angle = 68°

Another angle = 19°

Let the third angle be X Then

x + 68° + 19° = 180° { being sum of angles of triangle }

x = 180° - 87°

x = 93°

The measure of the third Angle is 93°

Hope it will help :)

Answer:

54.5

Step-by-step explanation:

[tex]x \degree = \frac{1}{2} (160 \degree - 51 \degree) \\ \\ x \degree = \frac{1}{2} \times 109 \degree \\ \\ x \degree = 54.5 \\ \\ x = 54.5 [/tex]

Answer:

$480

Step-by-step explanation:

10 times 12 is 120

So 120 ft in yards is 40 yards

40 times 12 is 480

Answer:

x = 7 times the square root of 3      

y = 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!

Answer:

67.5,

Step-by-step explanation:

22.5x3 =67.5,   P=2(l+w)=2·(22.5+67.5)=180

Answer:

Thus, the value of x is 1.

Step-by-step explanation:

4(2x+6)=32

8x+24 =32

8x =32-24

8x =8

x =8÷8

x =1

Answer:60,400,696.72

Step-by-step explanation:

it just is...

Answer: what does this say

Step-by-step explanation:

Answer: it’s 13.25

Step-by-step explanation:

The most appropriate graph is the (d) line graphs

From the question, we understand that:

Clusters and gaps are easily identified in line graphs, more than the other graphs.

This is also known as the dot plot

Hence, the most appropriate graph is the (d) line graphs

Read more about graphs at:

https://brainly.com/question/24309209

#SPJ1

Answer:d) 40 students

for the second one, it would be 26.

Step-by-step explanation:

Answer:

1/125 cm^3

Step-by-step explanation:

Volume of a cube = L^3

L is the side length of the cube

Given

L = 1/5 cm

Volume of the cube = (1/5)^3

Volume of the cube = 1/125

Hence the volume of the cube is 1/125 cm^3

Answer:

3

Step-by-step explanation:

Adding 2x and x gets you 3x-5y+3. Counting each term gives you three seperate terms, meaning your answer is 3.

Answer:

answer is 3

Step-by-step explanation:

adding 2x and x gets you 3x-5y+3