When do you say that a given quadrilateral is a parallelogram?

Explanation:

The distributive property tells you that multiplication distributes over addition. In equation form, it looks like ...

  a(b +c) = ab +ac

__

The parentheses are a grouping symbol. In the above equation, they indicate that the sum (b+c) is to be treated as a group. When it is multiplied by 'a', everything in the group is multiplied by 'a'.

In the real world, there are many ways things are grouped. Baseball cards are packaged together with bubble gum; Cracker Jacks® are packaged together with a prize; left gloves are packaged together with right gloves; a bicycle is a package that has a frame, 2 wheels, a seat, handlebars. If you purchase a number of any of these packages, each of the items in the package is part of your purchase that number of times.

For example, 3 bicycles will have 3 frames, 3×2 = 6 wheels, 3 seats, 3 sets of handlebars. In algebraic form, this might look like ...

  3(f +2w + s + h) = 3f +6w +3s +3h

__

Using the distributive property to eliminate parentheses is like regrouping the contents of the packages so like items are grouped together. In our above example, the 3 frames were grouped together when we considered that part of the group of 3 bicycles. The multiplier multiplies every member of the group.

__

The reverse of the distributive property tells us we can regroup items into sets. It tells us we can take 3 frames, 6 wheels, 3 seats, and 3 handlebars and group them together in a way that makes 3 bicycles, each having a frame, 2 wheels, a seat, and handlebars.

  3f +6w +3s +3h = 3(f +2w + s + h)

Often, we're asked to choose the multiplier to be the greatest common factor (GCF) of the numbers of things in the group. That makes each group as small as possible. The multiplier only needs to be a common factor, not necessarily the greatest common factor.

Answer: -43010000.

Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.

Have a great day! :)

Hello, the answer to your question is "Sure!"

These are the expressions:

12x-6x-9y+5y

Combine Like Terms:

6x-4y

Bingo! Now, one more:

Hmmm, let me think...

-18x+24x+16y-20y

Combine Like Terms:

6x-4y

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Apply Pythagorean theorem

Now

Again apply Pythagorean theorem

Answer:

the final answer for this problem is √3

This value is approximate since pi = 3.14 is approximate.

=======================================================

Work Shown:

r = radius = diameter/2 = 20/2 = 10 inches

L = slant height = 40 inches

SA = surface area of the cone

[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]

The surface area of the cone is approximately 1570 square inches.

We can abbreviate "square inches" into [tex]\text{in}^2[/tex]

If you want to get a more accurate surface area value, then use more decimal digits of pi.

Answer:

c is the answer

DO MARK BRAINLIEST

Answer: HELLO THERE!  Here's what I found from study dot  com            "4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form)."

Step-by-step explanation:

Hope this helps, have a good day!

Answer: 22.44$

Step-by-step explanation:

1. 30 x 0.20 = 6

2. 30 - 6 = 24

3. 24 x 0.065 = 1.56

24 - 1.56 = 22.44$

Answer:

no

Step-by-step

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

4

b

=

−

6

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

4

y-intercept:

(

0

,

−

6

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

Tap for fewer steps...

Find the x-intercept.

Tap for fewer steps...

To find the x-intercept(s), substitute in

0

for

y

and solve for

x

.

0

=

4

x

−

6

Solve the equation.

Tap for fewer steps...

Rewrite the equation as

4

x

−

6

=

0

.

4

x

−

6

=

0

Add

6

to both sides of the equation.

4

x

=

6

Divide each term by

4

and simplify.

Tap for fewer steps...

Divide each term in

4

x

=

6

by

4

.

4

x

4

=

6

4

Cancel the common factor of

4

.

Tap for fewer steps...

Cancel the common factor.

4

x

4

=

6

4

Divide

x

by

1

.

x

=

6

4

Cancel the common factor of

6

and

4

.

Tap for fewer steps...

Factor

2

out of

6

.

x

=

2

(

3

)

4

Cancel the common factors.

Tap for fewer steps...

Factor

2

out of

4

.

x

=

2

⋅

3

2

⋅

2

Cancel the common factor.

x

=

2

⋅

3

2

⋅

2

Rewrite the expression.

x

=

3

2

x-intercept(s) in point form.

x-intercept(s):

(

3

2

,

0

)

Find the y-intercept.

Tap for fewer steps...

To find the y-intercept(s), substitute in

0

for

x

and solve for

y

.

y

=

4

(

0

)

−

6

Solve the equation.

Tap for fewer steps...

Remove parentheses.

y

=

4

(

0

)

−

6

Simplify

4

(

0

)

−

6

.

Tap for fewer steps...

Multiply

4

by

0

.

y

=

0

−

6

Subtract

6

from

0

.

y

=

−

6

y-intercept(s) in point form.

y-intercept(s):

(

0

,

−

6

)

Create a table of the

x

and

y

values.

x

y

0

−

6

3

2

0

Graph the line using the slope and the y-intercept, or the points.

Slope:

4

y-intercept:

(

0

,

−

6

)

x

y

0

−

6

3

2

0

Answer:

1. n/52 = 180/120

180/120 = 1.5

n/52 = 1.5

Multiply 52 on both sides to simplify:

n=78

2. 18/n = 21/28

21/28 = 0.75

18/n = 0.75

Multiply n on both sides to remove

fraction: 18 = 0.75n and divide both sides

by 0.75 to simplify again.

n=24

3. n/4 = 24/6

24/6 = 4

n/4 = 4

Multiply 4 by both sides to simplify:

n=16

4. n/56 = 10/16

10/16 = 0.625

n/56 = 0.625

Multiply 56 on both sides to simplify:

n=35

Step-by-step explanation:

(1)

If there are three times as many males as females, the ratio of males to females would be 3:1.

To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.

We can then say there are 75 males and 25 females.

Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;

[tex]r(m) = \frac{3}{4} [/tex]

(2)

Let x be the number of cola bottles

Let y be the number of smarties

Let z be the number of marshmallows

x=3y (since there are 3 times more x than y)

y=2z (since there are 2 times more y than z)

we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.

Adding up our total sweets we get;

1+2+6=9

But how many of those are cola bottles? 6!

So the ratio of cola bottles can be expressed as,

[tex]r(c) = \frac{6}{9} = \frac{2}{3} [/tex]

You can simplify the numerator and denominator by 3 to get 2 over 3.

Answer:

That would be a compass.

Step-by-step explanation:

This allows you to draw circles with great accuracy.

Answer:

Step-by-step explanation:

The rate of change can be found by using the difference quotient formula and in this case it would be -0.5

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

[tex]f (x)= x^{2},(2, 3) -2[/tex]

The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

HOPE THIS HELPS

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

Answer:

The Answer Is 2200in^3

Step-by-step explanation:

I Took The Test And Got It Right

[tex]\qquad\qquad\huge\underline{{\sf Answer♪}}[/tex]

If the given triangles are congruent, then their corresponding sides are equal as well ~

So, let's use this condition

[tex]\qquad \sf  \dashrightarrow \:2y + 5 = 3y + 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:3y - 2y = 5 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 3[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:2x + 7 = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

Answer:

9/15 (0.6)

Step-by-step explanation:

(9/5) x(1/3)= 9/15

Answer:

32\15

Step-by-step explanation

Step-by-step explanation:

you need to calculate all the sides that are given to get the other side

It seems like they have shown you how to calculate so give it a try

Answer:

V≈180.96

Step-by-step explanation:

Answer:

a ground fault circuit interrupted

Answer:

By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]

Thus the missing side length is 13.2 cm

Hope that helps!

Let's solve

[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]

[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]

[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]

[tex]\\ \rm\rightarrowtail -40.92[/tex]

Both did error in signs

Answer:

Given expression:

-2.5(1.4+3.1) + 6.9(-4.3)

Student P

Step 1:  -3.5 + 7.75 + 6.9(-4.3)

Step 2: -3.5 + 7.75 - 29.67

Step 3: 7.75 - 3.5 - 29.67

Step 4: -25.42

Student P made an error in step 1.  When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.  

So Step 1 should be:  -3.5 - 7.75 + 6.9(-4.3).  

This error then impacted all following steps and gave an incorrect final solution.

Student Q

Step 1: -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 - 7.75 - 29.67)

Step 4: -(-33.92)

Step 5: 33.92

Student Q made an error in step 3.  When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.

So Step 3 should be: -(3.5 + 7.75 + 29.67).  

This error then impacted all following steps and gave an incorrect final solution.

Correct steps and solution

Step 1:  -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 + 7.75 + 29.67)

Step 4: -(40.92)

Step 5: -40.92

Step-by-step explanation:

I hope its helped ?? huhuhu sorry if im wrong:)

Answer: 5040

Step-by-step explanation:

7•6•5•4•3•2•1=5040

Answer:

One

Step-by-step explanation:

       First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.

       To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.

            However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.

Answer:

y = -2x - 2

Step-by-step explanation:

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

[tex]m\angle 1 = 180\degree- 160\degree[/tex]

[tex]\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}[/tex]

Alternate method:

[tex]m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)][/tex]

[tex]\implies m\angle 1 = 180\degree- [360\degree-200\degree][/tex]

[tex]\implies m\angle 1 = 180\degree- 160\degree[/tex]

[tex]\implies m\angle 1 = 20\degree[/tex]

Answer:

m∠1 = 20°

Step-by-step explanation:

Alternate interior angle theorem (z-angles): when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.

Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).

Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)

Sum of interior angles of a quadrilateral = 360°

⇒ x + 40° + 70° + 90° = 360°

⇒ x + 200° = 360°

⇒ x = 160°

Angles on a straight line add up to 180°

⇒ x + m∠1 = 180°

⇒ 160° + m∠1 = 180°

⇒ m∠1 = 20°

Answer:

31.4

Step-by-step explanation:

diameter (d) = 10

circumference = (3.14)d

                        = (3.14)10 = 31.4

circumference = 31.4

Answer:

16.02

Step-by-step explanation:

2. What inference can you make by comparing the measures

of variability?

I need the answer

16.02

Answer:

31/10

Step-by-step explanation: