Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem

Answer:

x = 9, y = 4 and z = 6.67

Step-by-step explanation:

Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.

Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]

z = [tex]\frac{10\times 8}{12}[/tex]

z = [tex]\frac{20}{3}[/tex] = 6.67

And [tex]\frac{6}{y}=\frac{12}{8}[/tex]

y = [tex]\frac{8\times 6}{12}[/tex]

y = 4

Therefore, x = 9, y = 4 and z = 6.67 will be the values.

Answer:

The  graph of G (x) is the graph of f(x) shifted 2 units to the left.

The graph of G (x) is the graph of f(x) shifted 2 units to the left.

For any kind of the parent function f(x) the graph of the transformed function should be g(x) = f(x +a)

It is a shift of the parent function f(x) also it should be either to the left or the right based on the value of a.

In the case when a>0 so the shift is 'a' units to the left

and if a<0 so the shift is 'a' units to the right.

Therefore, we can conclude that The graph of G (x) is the graph of f(x) shifted 2 units to the left.

It is an incomplete question. Kindly find the options below.

A. the graph of G(x) is the graph of F(x) shifted 2 units to the right B thr graph of G(x) is the graph​ of F(x) shifted 2 units down C the graph of G(x) is the graph of F(x) shifted 2 units up D the graph of G (x) is the graph of f(x) shifted 2 units to the left

Learn more about graph here: https://brainly.com/question/19661552

Answer:

Eighteen decreased by a number, m, is seven point two.

Step-by-step explanation:

18+m=7.2

m=7.2-18

m= -10.8

18+(-10.8)

18-10.8=7.2

Eighteen decreased by a number m is seven point two

The statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.

Word problem are used in mathematical solutions to create a word out of mathematical expressions and vice versa.

According to this question, the following expression is given: 18+m = 7.2

The mathematical expression can also be written as m = 7.2 - 18

Therefore, the statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.

Learn more about word problems at: https://brainly.com/question/468645

Answer: D; vertical angles

Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.

Concluding, that the answer would be D; vertical angles

Hope this helps

<3

-Carrie

P.S. It would mean a lot if you marked brainliest

Answer:

Yes you are correct for x AND y

Step-by-step explanation:

Yes, your answer is correct.

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

I guess you have to put the amounts in the boxes based on your data :) hope that helped a little

I think it should go like

3|6

1|2

Answer:

49 cubed

Step-by-step explanation:

6287-6238

ANSWER: 49 cubed!

Answer:

49 m³

Step-by-step explanation:

Volume used between August and November = 6287 - 6238

= 49 m³

Answer:

x = -14

Step-by-step explanation:

-3x - 10 = 32

Add 10 on both sides

-3x = 42

divide both sides by -3 to isolate x

x = 42/-3

x = -14

Answer: -14

Step-by-step explanation:

-3x - 10 = 32

-3x = 32 + 10

x = -42/3 = -14

Answer:

-5

Step-by-step explanation:

Score in first round = +15

Scores lost in second round = -30

Score in third round = 10

Total points = 15+-30+10= -5

Answer: Trevor drinks 3 3/4 pints against his coach's 4 pints

Step-by-step explanation:

8 ounces per day x 8 times = 64 ounces = 8 cups = 4 pints

Water bottle holds 1 1/4 pints x 3 = 3 3/4 pints.

Answer:

b<1            b>0

Step-by-step explanation:

7b<7

b<1

7b>0

b>0

Answer:

Step-by-step explanation:

1. it is an equilateral triangle.

let  base=2x

let h be the height from centre.

h/8=sin 30=1/2

h=1/2×8=4

so total height=8+4=12

again  x/8=cos 60

x=(√3/2)×8=4√3

Base=2x=2×4√3=8√3

area of triangle=1/2×8√3×12=48√3 sq. units.

2.

one diagonal=3+8=11

second diagonal=5+5=10

area=1/2 d1d2=1/2×11×10=55 sq units

Answer:

$6 per week, $600 total

Step-by-step explanation:

$30 total divided equally by 5 weeks = $6 per week. She will rase $6 per week.

After she raises $30 more, her total will be $200. Since her father and mother will also match her total they will both give $200.

$200+$200+$200 (Father+mother+Jane)=$600 total by the family

have a nice day :)

Answer:

a.-2

b.4

c.-3

Step-by-step explanation:

write a,b,c on top of each number to the left of the =0

Answer:

The values are: a ; (-2) b ; (4) c ; (-3)

Step-by-step explanation:

The quadratic equation is: ax^2+bx+c = 0

So, you can get your answers by using that.

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

[tex]<JKM+<MKL=180^\circ\\\\[/tex]

Substitute the values of both angle to solve the equation:

[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

Answer:

The answer would be the last one

_________________________________

Solution

(5r+2)(3r-4)

=5r(3r-4)+2(3r-4)

=15r^2-20r+6r-8

=15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8.

Hope it helps

Good luck on your assignment

______________________________

Answer:

7.19 is the tip

Step-by-step explanation:

Take the amount of the bill and multiply by the tip percentage

47.96 * 15%

Change to decimal form

47.96 * .15

7.194

Round to 2 decimal places

7.19

Answer: $7.19

Step-by-step explanation:

15/100 = 0.15

We only want the tip, not the total cost:

Do 0.15 * $47.96 to get about $7.19

Answer:

6*sqrt(3)

Step-by-step explanation:

x, 2x, x*sqrt(3)

12is 2x

the x side is x*sqrt(3)

(12/2)*sqrt(3)=x side

x side = 6*sqrt(3)

Answer:

32000

Step-by-step explanation:

1.04x=33280

32000

9514 1404 393

Answer:

  3

Step-by-step explanation:

The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.

Answer:

short answer middle picture :)

Step-by-step explanation:

Answer:

d, 700

Step-by-step explanation:

it's the only one that makes sense

Answer: C

Step by step explanation-

Answer:

A

Step-by-step explanation:

It is consistent dependent system , since:

inconsistent has no solutions

consistent independent has one solution,

while...

consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system

Answer:

Option A. 56

Step-by-step explanation:

The question talks about chosing 5 presenters out of 8 presenter.

This can be achieved b using the following formula:

nCr = n! /r! (n–r)!

n = 8

r = 5

8C5 = 8! / 5! (8 – 5)!

8C5 = 8! / 5! 3!

8C5 = (8 x 7 x 6) / (3 x 2 x 1)

8C5 = 56

Therefore, there are 56 ways in which the teacher can chose the presenters.

Answer: Choice A

Step-by-step explanation:

Answer:

19 is d 26 is c 27 is b

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

5 cant be put into 2

Answer:

not a function

Step-by-step explanation:

Since one input goes to two different outputs, this is not a one to one correspondence, then this is not a function

Answer:

8 kilometers per hour.

Step-by-step explanation:

1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.

2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.

3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

Answer:

∠F=56.5⁰

Step-by-step explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5