Kristina walks 7 1/2 miles in 5 hours. At this rate, how many miles can Kristina walk in 9 hours

slamgirl [31]

Answer:

<YXZ and <TUS

Step-by-step explanation:

Alternate exterior angles are angles that are found on opposite sides of a transversal and are found just outside each parallel line that the transversal crosses.

Looking at the diagram given and considering the options available, the angles that are alternate exterior angles are:

<YXZ and <TUS

6 0

3 years ago

Find the solution set of this inequality. Select

hram777 [196]

Answer:

"first number line shown in the diagram"

Step-by-step explanation:

Whenever we have inequality of the form

| x + a | > b

we can write

1. x+a > b, and

2. -(x+a) > b

and solve both.

So we can write

1. 8x + 16 > 16

2. -(8x+16) > 16

<u>Solving 1:</u>

8x > 16 - 16

8x > 0

x > 0

<u>Solving 2:</u>

-(8x+16) > 16

-8x - 16 > 16

-16 -16 > 8x

-32 > 8x

-32/8 > x

-4 > x

Putting these together, we can say x is greater than 0 & x is less than -4

The first number line is right.

6 0

3 years ago

Read 2 more answers

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing

Basile [38]

Answer:

a)

A={RRR,SSS,LLL}

b)

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

Step-by-step explanation:

Sample space=S= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS}

a)

Let A be the event that all three vehicles go in same direction. It means that the all three vehicles go to right or left or straight. Thus, event A can be represented as

A={RRR,SSS,LLL}

b)

Let B be the event that all three vehicles go in different direction. It means that the three vehicles can go to

1. Right, Straight, Left

2. Straight, Left, Right

3. Left, Right, Straight

4. Right, Left, Straight

5. Straight, Right, Left

6. Left, Straight, Right

Thus, event B can be represented as

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

Let C be the event that exactly two of three vehicles turn right. It means that the three vehicles can go to

1. Right, Right , Left

2. Right , Left, Right

3. Left, Right, Right

4. Right, Right , Straight

5. Straight, Right,Right

6. Right , Straight, Right

Thus, event C can be represented as

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

Let D be the event that exactly two of three vehicles go in same direction. It means that the three vehicles can go to

1. Right, Right, Left

2. Right, Right, Straight

3. Right, Left, Right

4. Right, Left, Left

5. Right, Straight, Right

6. Right, Straight, Straight

7. Left, Right, Right

8. Left, Right, Left

9. Left, Left, Right

10. Left, Left, Straight

11. Left, Straight, Left

12. Left, Straight, Straight

13. Straight, Right, Right

14. Straight, Right, Straight

15. Straight, Left, Left

16. Straight, Left, Straight

17. Straight, Straight, Right

18.Straight,Straight, Left

Thus, event D can be represented as

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'=S-D= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS} -{RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

8 0

3 years ago

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which

DanielleElmas [232]

Answer: that the variable can be any number.

Step-by-step explanation:

So we have a linear equation and we end with a relation of the way:

x = x

an example can be if we have:

2*x + 4 = 2*(x + 2)

if you solve that, you will end with a relationship x = x

this means that any value of x will made that equality true.

so x can be any number.

6 0

3 years ago

Triangle ABC is similar to triangle DEF. What is the value of x ?

Delicious77 [7]

48382939392838338383839

5 0

3 years ago