Given: Lines a and b are parallel and line c is a transversal.
Prove: ∠2 is supplementary to ∠8


What is the missing reason in the proof?

Statement Reason
1. a || b, is a transv 1. given
2. ∠6 ≅ ∠2 2. ?
3. m∠6 = m∠2 3. def. of congruent
4. ∠6 is supp. to ∠8 4. def. of linear pair
5. ∠2 is supp. to ∠8 5. congruent supplements theorem

A: vertical angles theorem

B: alternate interior angles theorem

C: corresponding angles theorem

D: alternate exterior angles theorem

Answer: 0.39

Step-by-step explanation:

Given the following classification :

Heavy smokers (H) = 10%

Light smokers (L) = 20%

Non smokers (N) = 70%

Given that :

The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively

Let probability of death = D

P(D | N) = d

P(D | H) = 5d

P(D | L) = 3d

Hence,

P(D) = [P(H) * P(D | H) + P(L) * P(D | L) + P(N) * P(D | N)]

P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]

P(D) = [0.5d + 0.6d + 0.7d]

P(D) = 1.8d

A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.

P(N | D) = [P(N) * P(D | N)] / P(D)

P(N | D) = 0.7d / 1.8d

P(N | D) = 0.3888

= 0.39

Answer:

John's steps

-distrubute the 2 through the parentheseas

-subtract 18-12

-subtract 10 on both sides

-divide both sides of the equation by 2

-y=-2

Marias steps

-divide both sides by 2

-subtract both sides by -5

-y=-2

Step-by-step explanation:

all you had to do is list the steps out. Hope this helps

Answer:

10 1/2 minutes

Step-by-step explanation:

Becuase 7/2=3.5 then 7+3.5=10.5

Answer:

the x entecepts of a graph are the solutions of the equation,

a quadratic equation can have one of three types of solutions

Answer:

530.66 square cm

Step-by-step explanation:

Area of the circle

[tex] = \pi {r}^{2} \\ = 3.14 \times {13}^{2} \\ = 3.14 \times 169 \\ = 530.66 \: {cm}^{2} \\ [/tex]

Answer:

Step-by-step explanation:

The area of a triangle can be found by using the formula

[tex]A = \frac{1}{2} \times bh[/tex]

where

b is the base

h is the height

From the question

b = 27 ft

h = 14 ft

Substitute the values into the above formula and solve

That's

[tex]A = \frac{1}{2} \times 27 \times 14 \\ = \frac{1}{2} \times 378 [/tex]

We have the final answer as

Hope this helps you

Answer:

189ft²

Step-by-step explanation:

Triangle

Solve for area

A=189ft²

b Base

27

ft

hb Height

14

ft

Answer:

For the parallel line it will still have a slpoe of 2/3

Step-by-step explanation:

as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.

Answer:

[tex] (\frac{3}{13}, -3) [/tex]

Step-by-step explanation:

Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-3, -6) = (x_1, y_1) [/tex]

[tex] B(11, 7) = (x_2, y_2) [/tex]

[tex] m = 3, n = 10 [/tex]

Finding the x coordinate:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(11) + 10(-3)}{3 + 10} [/tex]

[tex] x = \frac{33 - 30}{13} [/tex]

[tex] x = \frac{3}{13} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(7) + 10(-6)}{3 + 10} [/tex]

[tex] y = \frac{21 - 60}{13} [/tex]

[tex] y = \frac{-39}{13} [/tex]

[tex] y = -3 [/tex]

The coordinates of the point 3/10 of the way from A to B are [tex] (\frac{3}{13}, -3) [/tex]

Answer:

B

Step-by-step explanation:

To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.

The equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the line with slope -2 which goes through the point (-6,-9).

Substitute m=-2 and (x, y)=(-6,-9) in y=mx+c, we get

-9=-2×(-6)+c

-9=12+c

c=-21

Substitute m=-2 and c=-21 in y=mx+c, we get

y=-2x-21

Therefore, the equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.

To learn more about the the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2

Answer:

60

Step-by-step explanation:

Since Jim sold 1/3 of his stamps on Monday, the remainder would be 2/3 of his total stamps.

Divide 360 stamps by 3. Minus the stamps sold on Monday from 360 to get the remainder.

stamps sold on Monday = 360 ÷ 3 = 120

remainder = 360 - 120 = 240

He sold 1/4 of the remainder on Tuesday.

Divide the remainder by 4.

stamps sold on Tuesday = 240 ÷ 4 = 60

He sold 60 stamps on Tuesday.

Answer:

[tex]f(a)+g(a)=6a-2[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(a)=2a-1\text{ and } g(a)=4a-1[/tex]

And we want to find f(a) + g(a).

So, substitute:

[tex]f(a)+g(a)[/tex]

This is the same as:

[tex]=(2a-1)+(4a-1)[/tex]

Combine like terms:

[tex]=(2a+4a)+(-1-1)[/tex]

Add or subtract:

[tex]=6a-2[/tex]

And we're done!

Answer: 200

Step-by-step explanation:

anything times 2 is just doubled

Steps to solve:

k + 10 = 27

~Subtract 10 to both sides

k = 17

Best of Luck!

Answer: The answer is D

Answer:

D

Step-by-step explanation:

4 ÷ x+3.

4 + x(a number) + 3

4/x+3

Answer:

44

Step-by-step explanation:

use the order of operations

5 (3) 2 + 3 + 11. solve within parenthesis

15 × 2 + 3 + 11. multiply left to right

30 + 3 + 11. multiply left to right

33 + 11. add left to right

44. add

the order of operations is more commonly known as PEMDAS.

(parenthesis, exponents, multiply and divide, add and subtract)

If you are still confused there is a Brain Pop about PEMDAS. just search "order of operations" on the brain pop website

Answer:

y = -2x + 9

Step-by-step explanation:

Let's start from the -2x, the slope is -2. The x is basically what says, this is the slope. The plus nine is the y-intercept. If you think in graph terms (which is how you solve this problem) you will see that on the y-axis the line will intercept at the 9. The every x integer it goes down it goes that times two. For example, if you go sideways 1 spot, the line will be at y=11.

Answer:

97

Step-by-step explanation:

Sorry for messy working out

Answer:

x

=

−

v

3

24

−

17

24

Step-by-step explanation:

Answer:

10.5 wait can it be a decimal

Step-by-step explanation:

Answer:

iconic compounds

Step-by-step explanation:

Ionic components are formed up of ions, which are charged particles formed whenever an atom (or group of atoms) acquires or loses electrons.

Therefore, the final answer is "ionic compounds".

Learn more:

brainly.com/question/4191889

Answer:

4P3

Step-by-step explanation:

Answer:

4P3 is greater

Step-by-step explanation:

Answer: x = 7

Step-by-step explanation:

Corresponding angles have congruent measures. Thus, 11x - 2 = 75

11x - 2 = 75

11x = 77

x = 7

Answer:

147.0336

Step-by-step explanation: