Proving the Congruent Supplements Theorem
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Statements Reasons
Given: 21 and 22 are supplements, 23
and 24 are supplements, and
2124
Prove. 22 23
m2 1 + m 2 = 180
m23+ m24 = 180
21 and 22 are supp.
23 and 24 are supp
21 24
m2 1 + m 2 = m 3 + m24
Statements
Reasons
3
2
Assemble the proof by dragging tiles to
the Statements and Reasons columns

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

Answer:

0.36  

or

Step-by-step explanation:

Answer:

f(0) = 3x : 0

f(1) = 3x : 3

f(2) = 3x : 6

f(3) = 3x : 9

Step-by-step explanation:

Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

Answer:

Company B is the better deal. Diego will save $31.5.

Step-by-step explanation:

First, find the area of the rectangle: 45*30=1350 sq.ft.

Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)

Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.

Multiply $3.9 by 135=526.5$

Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.

Dived 1350 by 450 to see how many rolls= 3

Multiply $150 by 3= $450, then add $45= $495

Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.

Diego will save $31.50 by choosing Company B instead of Company A.

For business A:

The yard's entire square footage is calculated as,

⇒ 30 x 45

⇒ 1,350 square feet

The total area covered by each roll of sod must then be determined in square feet is calculated as,

⇒ 2 x 5

⇒ 10 square feet per roll

The total quantity of sod rolls required is calculated as,

⇒ 1,350 / 10

⇒ 135

The price of each roll of sod is $3.90, making the total price of the sod calculated as,

⇒ 135 x $3.90

⇒ $526.5

For business B:

The garden is still 1350 square feet in size overall. Pallets have a surface area of 450 square feet each, thus a total of:

⇒ 1,350 / 450

⇒ 3

The price of the sod is $150.00 per pallet, making the total price calculated as,

⇒ 3 x $150

⇒ $450

In addition, there is a $45.00 one-time shipping fee. Therefore, Company B's overall cost is calculated as,

⇒ $450.00 + $45.00

⇒ $495.00

We can see by comparing the two options that Company B is the better value because it is less expensive than Company A. Diego will save:

⇒ $526.50 - $495.00

⇒ $31.50.

Diego will save $31.50 by choosing Company B instead of Company A.

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Answer:

11a

Step-by-step explanation:

you can't find the exact answer unless we know what a is equal to

Answer:

15.62 feet

Step-by-step explanation:

If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.

[tex]a^{2} + b^{2} = c^{2}[/tex]

let height of flagpole = a

let length of shadow = b

let distance between the two = c

[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]

There are multiple ways of going about this, but what I find easiest for a problem like this is to find the GCF of all the terms.

The GCF of [tex]9x^2,-3x,6x,-45x^2[/tex] is [tex]3x[/tex].

Meaning that we can take out 3x out of all the terms and still be left with the simplest, yet equivalent for of the expression.

[tex]\frac{2x-1}{2-15x}[/tex]

Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

Answer:

x=33

Step-by-step explanation:

First you haft to find what x is to find the answer

x - 4 = 29

First add 4 to -4 so the cancel out and then you add 4 to 29.

x - 4 = 29

  +4    +4

-----------------

x     =   33

Answer:

8

Step-by-step explanation:

find the value of x.

x+7+9=3x-6

x+16=3x-6

10=2x

x=5

plug into the equation for ST.

x+3

5+3 = 8

Answer:

The first picture without the diagram is true, and the other one is false.

Step-by-step explanation:

A relation can be a function if the domain has exactly one range. IT CANT HAVE TWO Y-VALUES.

Answer: 950,000

Step-by-step explanation:

base salary is 22,000

Target 60,000

60,000-22,000 =38,000 which is 4%

So 38,000/4 = 9,500 which is 1%

So 9,500 * 100 = 950,000 which is 100% total sale

So commission of 4% on 950,000 is 38,000

Therefore 38,000 + 22,000 = 60,000

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \sf{see \:below}}}[/tex]

Step-by-step explanation:

d = 64° ( Being vertically opposite angles )

e = 64 ° ( Being alternate angles )

2. g + 125 ° = 180 ° ( sum of supplementary angle)

Move 125 to right hand side and change it's sign

g = 180° - 125°

Subtract 125 ° from 180 °

g = 55 °

f = g ( being alternate angles )

f = 55 °

Hope I helped!

Best regards! :D

Answer:

Z/ pi^3 = h

Step-by-step explanation:

Z= pi^3h

Divide each side by pi ^3

Z/ pi ^3= pi^3h/pi ^3

Z/ pi^3 = h

Answer:

16 = n/12

Step-by-step explanation:

16 = n/12

Step-by-step explanation:

Area of a circle = πr^2 = π(7)^2 = 49πm^2.

Answer:

153.94 meters

Step-by-step explanation:

A= [tex]\\\pi[/tex][tex]r^2[/tex]

[tex]A=\pi \\[/tex][tex]7^2\\[/tex]

[tex]7^2 = 49[/tex]

[tex]\pi[/tex] x [tex]49 = 153.94[/tex]

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

Answer:

c= hy−w /6y

Step-by-step explanation:This is what i got.

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

Step 1

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

Step 2

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

[tex]150 / 20=7.5[/tex]

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

After a translation (x+3, y-2)  the coordinates of D' be  (4, 0).

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given figure of this trapezoid in a coordinate plane, the points of D is (1, 2).

Now, If this trapezoid is moved through the translation (x + 3, y - 2) the coordinates of D' will be (1 + 3, 2 - 0) ⇒ (4, 0).

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Answer:

because the way she asked it and the way she put in in form

Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

It is given that Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4 + 8 = 12 and 1 + 8 = 9. Calculate the ratio now.

The above statement is wrong the ratio will be calculated as:-

12 / 9 = ( 3 x 4 ) / ( 3 x 3 )

Take 3 commons from the numerator and the denominator of the ratio.

         = 4 / 3

Therefore, Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.

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Answer:

51/40

Step-by-step explanation:

2/5+7/8

(2*8/5*8)+(7*5/5*8)

16/40+35/40

=>51/40

Answer:

$37.84

Explanation:

We need to see what to multiply $40.47 by to find the price of the stock from the beginning. First, we need to subtract 100% by the percentage of gain.

100% - 6.5% = 93.5%

Next, we need to divide 93.5% by 100.

93.5% ÷ 100 = 0.935

Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.

40.47 × 0.935 = 37.83945 --> 37.84

Hope this helped!

$37.84

So we know that we need to see what to multiply $40.47 by to find the price of the stock from the beginning.

First, we need to subtract 100% by the percentage of gain.

100% - 6.5% = 93.5%

Next, we need to divide 93.5% by 100.

93.5% ÷ 100 = 0.935

Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.

40.47 × 0.935 = 37.83945 --> 37.84

Fianl result: $37.84

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C