given: ABC - DEF prove: the perimeters P1 and P2 of ABC and DEF are the same ratio, r, as the lengths of their corresponding sides.
match each statement to its corresponding reason. scroll down to see all the choices. drag the items on the left to the correct location on the right.

Answer:

Options A, C and D

Step-by-step explanation:

Option A

Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]

If b║f and line a is a transversal line,

m∠p = 90.5° [Alternate exterior angles]

True

Option B

If B║D and line a is a transversal,

m∠q = 89.5° [vertically opposite angles]

∠q + 89.5° = 89.5° + 89.5° = 179°

But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.

So the given statement is False.

Option C

c║e

Since, m∠r = 91.5° [Vertically opposite angle]

And m∠r + 89.5° = 180° [Consecutive interior angles]

True.

Option D

c║d

Since, ∠r and ∠q are consecutive interior angles,

m∠r + m∠q = 180°

91.5° + 89.5° = 180°

True

Option E.

d║f

m∠s = 90.5°[Vertically opposite angles]

Since, ∠s and angle with measure 89.5° are the alternate interior angles,

So measure of angle s should be 89.5°.

Therefore, d║f is False.

Option F.

If e║f, angles with measures 89.5° and 90.5° should be equal.

But measures of both are different.

Therefore, e║f is False.

Options A, C and D are the correct options.

Step-by-step explanation:

78/ 3

= 26

26 leaves will be in each book

hope it helps!

Answer:

26

Step-by-step explanation:

78/3=26

Answer:

407/125

Step-by-step explanation:

3.256=3256/1000

814/500

407/125

Answer:

66.25 fluid ounce

Step-by-step explanation:

Given that :

Capacity of original container = 53 fluid ounces

Percentage addition of new container = 25%

Capacity of new container :

Capacity of original container * ( 1 + percentage addition)

53 * ( 1 + 0.25)

53 * (1.25)

= 66.25 fluid ounce

9514 1404 393

Answer:

  ASA, SAS, SSS, SAS, ASA

Step-by-step explanation:

In order of attachments, left to right:

1) ASA . . . . the bisected angles are on either end of the common segment. ∆ABC ≅ ∆ADC

__

2) SAS . . . . the vertical angle lies between the sides congruent by virtue of the midpoint being X. ∆RSX ≅ ∆PQX

__

3) SSS . . . . two sides and the shared segment are congruent. ∆KLM ≅ ∆KGM

__

4) SAS . . . . the parts of the bisected angle lie between the congruent sides and the common side. ∆WXZ ≅ ∆YXZ

__

5) ASA . . . . the common segment lies between parts of a bisected angle and ones that are given as congruent. ∆PQR ≅ ∆SQR

Answer:

x

Step-by-step explanation:

2/3x+1/3x=x

Answer:

1

Step-by-step explanation:

2/3x + 1/3x

2+1/3x

3/3x

=x

one x value is 1

Answer:

??? is this all of the question?

Answer:

Step-by-step explanation:

Simplify fractions and multiply

Step-by-step explanation:

Answer:

A. 82

hope it helps....

Answer:

11:29.

Step-by-step explanation:

10:47 - 11:00 is 13 minutes, which leaves 29 minutes. So then you add that to 11:00, 11:29.

Answer:11:29

Step-by-step explanation:

If Doug starts at 10:47 and sweeps for 42 minutes

First you add 42 minutes to the 47.

Remember there are 60 minutes in an hour.

So do 47+42=89

Next do 89-60 (because there are 60 minutes in an hour)

You get 29 minutes.

Add one to the 10

That makes 11:29

Step-by-step explanation:

When x = 3,

6x² + 18x - 15

= 6(3²) + 18(3) - 15 = 54 + 54 - 15 = 93. (B)

Answer:

It will take 12years to triple itself

Step-by-step explanation:

let the sum of money=x

In 8years x becomes 2x

thus

2x-8years

Then 3x-?

Using ratio and proportion,

x=3/2×8years=12years

Answer:

The equation of the parabola  ( y +3)² = 4 ( x-3)

Step-by-step explanation:

Step(i):-

we know that the focus of the parabola (h + a , k ) and directrix is   x = h - a

Given

 focus of the parabola (h + a , k ) = ( 4, -3 )

  Equating                h + a =4 ..(i)

                              and k =-3

Given directrix is   x = 2

                          h - a =2 ..(ii)

Adding (i) and (ii) equations , we get

                   h + a + h-a = 4+2

                      2 h = 6

                         h =3

   substitute h=3 in equation (i)

                h + a =4

               3 + a =4

                  a = 1

The length of Latus rectum 4a = 4(1) =4

Step(ii):-

The vertex ( h, k) = ( 3 , -3) and a = 1>0

Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis

The equation of the parabola

( y - k )² = 4 a ( x - h )

( y - (-3))²= 4(1) ( x - 3 )

The equation of the parabola  ( y +3)² = 4 ( x-3)

Answer:

5

Step-by-step explanation:

it is the constant slope 5 over 1

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

c(x) = 18x -10

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

 c(x) = 18x - 10

comparing with the slope-intercept form of the line equation

Assuming the total cost i.e. c(x) = $530

In order to determine the value of x, set c(x) = 530

i.e.

530 = 18x -10

switch sides

18x - 10 = 530

add 10 to both sides

18x - 10 + 10 = 530 + 10

18x = 540

Divide 18 to both sides

18x/18 = 540/18

x = 30

Therefore, if you can buy x = 30 tickets if you pay 530 dollars.

Answer:

D.

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Step-by-step explanation:

There are 41 cards were in each card album.

Step-by-step explanation:

7x^×2-16x-15

14x^-16x-15

Answer:

VUT- FEG

QRS-QGF

Step-by-step explanation:

Complete question :

A dog needs 4/3 liters of water for 2/5 of a day. How many liters of water does the dog need for an entire day?

Answer:

10/3 litres

Step-by-step explanation:

Given that:

Amount of water needed for 2/5 of a day = 4/3 litres ;

An entire day = 1/ 1 of a day

Hence, If;

2/5 = 4/3 litres of water

1/1 = x

Cross multiply ;

(2/5)x = 4/3

2x /5 = 4/ 3

2x * 3 = 5 * 4

6x = 20

x = 20 /6

x = 10 /3 litres

Answer:

y=2x+10

Step-by-step explanation:

y is the height x is the number of years

It takes 9 years for it to reach 28ft

Answer:

3

Step-by-step explanation:

y=mx + b, slope = m.

Answer:

$97.20

Step-by-step explanation:

you make the 8% into a decimal by moving the decimal to places to the left.

8%=0.08, Then you multiply that by the whole number of 90 dollars.

0.08 x 90 = $97.20

Total cost of the jacket with sales tax is given by the equation A = $ 97.20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the jacket with the sales tax be A

Now , the equation will be

The cost of the jacket = $ 90

The sales tax percentage = 8 %

So , the sales tax amount = ( 8 / 100 ) x cost of the jacket

Substituting the values in the equation , we get

The sales tax amount = 0.08 x 90

The sales tax amount = $ 7.20

Now , the total cost of the jacket with the sales tax = cost of the jacket + sales tax amount

Substituting the values in the equation , we get

The total cost of the jacket with the sales tax A = 90 + 7.20

The total cost of the jacket with the sales tax A = $ 97.20

Hence , the total cost is $ 97.20

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

Total number of students = 200

The number of girls  = 90

Step-by-step explanation:

Girls = 45%

Boy = (100 - 45)% = 55%

Let the total students = x

Number of boys = 110

55% of x = 110

 [tex]\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\[/tex]

  x = 2 * 100

  x = 200 students

Girls = 45% of x

       [tex]= \frac{45}{100}*200[/tex]

        = 45 * 2

Girls = 90

Answer:

2 4/15 km

Step-by-step explanation:

We know from the above question that:

A hiker walks at a speed of 3 2/5 km per hour.

Step 1

Convert 40 minutes to hour

60 minutes = 1 hour

40 minutes = x

Cross Multiply

60x = 40

x = 40/60

x = 2/3hr

Step 2

How many km will the hiker walk in 40 min?

The above question can be calculated as:

1 hour = 3 2/5km

2/3 hour = x km

Cross Multiply

1 × x km = 2/3 × 3 2/5 km

x km = 2/3 × 17/5 km

x km = 34/15 km

x km = 2 4/15 km

Hence the hiker would walk 2 4/15 km in 4 minutes

Answer:

The answer is 4,761

Answer:

if the cost on gas is 1.64 you can divide 23.78 by 1.64 which is 14.5

Step-by-step explanation:

23.78 divided by 1.64 =14.5

Answer:

14.45

Step-by-step explanation:

Answer:

+ 2

Step-by-step explanation:

+ 3 + (- 1) = + 2