Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?

converse of the corresponding angles theorem

converse of the alternate interior angles theorem

converse of the same side interior angles theorem

converse of the alternate exterior angles theorem

Answer:

2 Cups

Step-by-step explanation:

Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.

The number of cups she can fill will be 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.

The number of cups will be calculated as follows:-

Number = ( 3 / 5 ) ÷ ( 3 / 10 )

Number = ( 3 / 5 ) ÷ ( 10 / 3 )

Number = 10 / 5 ) = 2

Therefore, the number of cups she can fill will be 2.

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Answer:

half a cup

Step-by-step explanation:

if one fourth is needed for 17 and thirty four is the double of 17, then

1/4 x 2 = 2/4

2/4 simplified is 1/2->half

Answer:

Step-by-step explanation:

The operation in the problem is division

The inverse is multiplication

(-14)

Answer: division inverse= multiplication answer=-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve for w.

s=a+lw

Step 1: Flip the equation.

lw+a=s

Step 2: Add -a to both sides.

lw+a+−a=s+−a

lw=−a+s

Step 3: Divide both sides by l

[tex]\frac{lw}{l} =\frac{-a+s}{l}[/tex]

Answer:

x=7

y=10

Step-by-step explanation:

8x and 11y+14 are same side interior angles so they add to 180 degrees

11y+14 and 10x+54 are vertical angles so they are equal

8x + 11y+14 = 180

11y+ 14 = 10x+54

Substitute 10x+54 for 11y+14 in the first equation

8x +10x+54 = 180

Combine like terms

18x+54 =180

Subtract 54

18x+54-54=180-54

18x =126

Divide by 18

18x/18 = 126/18

x=7

Now we can find  y

11y+ 14 = 10x+54

11y + 14 = 10*7+54

11y+14 = 70+54

11y+14 =124

Subtract 14 from each side

11y = 124-14

11y =110

Divide by 11

11y/11=110/11

y =10

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

Answer:

(3,2)

Step-by-step explanation:

I hope this helps : )

The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:

60cm2=12(d1⋅d2)

where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.

The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by

(152 ) 2 + (82)2 = s 2

or s = 172cm.

The perimeter is therefore 4 X 172 = 34 cm.

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

Answer

3*a*2*b equals 6ab

Step-by-step explanation:

5.75 dollers cause 23 ÷ by 4 is 5.75

Answer:

A

Step-by-step explanation:

There is no way to tell a pattern.

Answer:

The answer is 22.4.

Answer:

22.4

Step-by-step explanation:

you multiply 6 and -2.4 by 9

that gives you 54 and -21.6

then you add -10 to -21.6 giving you -31.6

lastly subtract -31.6 out of 54

which gives you 22.4

Answer: 10%

Step-by-step explanation:

The following information can be gotten from the question regarding the number of people that went to the swimming pool are:

First week of July = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 130 = 1050

Fourth week = 1050 - 132 = 918

The percentage decrease over the four weeks will be:

= (1020 - 918)/1020 × 100

= 102/1020 × 100

= 10%

Answer:

there are 438 blue marbles and 162 red marbles

Step-by-step explanation:

If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply  27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.

hope this helps

Answer:

x=75

The measures of the polygon are 75, 105, 70 and 110.

Step-by-step explanation:

Since the sum of the angles is 360, we can set up an equation, where all the angles add up to 360:

(x-5)+(x+35)+(1.4x)+(x)=360

x-5+x+35+1.4x+x=360

4.4x+30=360

4.4x=330

x=75

Now, to find the angles, all you have to do is plug in 75 for x in every angle:

First angle: 75

Second angle: 1.4*75=105

Third angle: 75-5=70

Fourth angle: 75+35=110

Answer:

9:30

Step-by-step explanation:

IM BUILT DIFFERENT

Answer:

it is the 1.2 answer

Step-by-step explanation:

0.50

Step-by-step explanation:

Its right <3

In the graph the constant of  proportionality is 0.5

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

From the given graph let us take one point (1, 0.5)

k=0.5/1

Constant of proportionality is 0.5

Hence, in the graph the constant of  proportionality is 0.5

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Answer:

the answer is b 

Step-by-step explanation:

Answer:

The percent increase is approximately 45%.

Step-by-step explanation:

hope this helped!

Answer:

y = -1/2x +3

Step-by-step explanation:

basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line

Answer:

this expression is not factorable luv :)

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

Got Correct On MyPath.

The order of rotational symmetry for a rhombus is 2.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end

A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral.

In a rhombus, opposite sides are parallel and the opposite angles are equal.

All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles

Rotational Symmetry of a Rhombus has four equal sides but of varying angles.

A rhombus has two lines of symmetry (vertical and horizontal), an order of two, and the angle of rotation of 180 degrees

Hence,  the order of rotational symmetry for a rhombus is 2.

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Answer:

24,29,34,39

Step-by-step explanation:

4,9,14,19,24,29,34,39

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

Answer:

x = -35

Step-by-step explanation:

I hope this helps!

Answer:

So he could use 3 pounds for apples, and two for bananas.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

first u should make your equation: y= -1/5 (x-5) - 3

y= -1/5x +1 -3

y= -1/5 x -2

then u should setting some number like 1 ,2 ..... instead of *x* and when u done this u should dissolve it (now your *y* is came out too) so you have your x,y now

According to the points you get, you put it on the chart and connect it

if you do not understand something, tell me to draw on paper so you can understand better