Ken makes a plan before writing a proof to show that the opposite angles of the
quadrilateral are congruent. What is missing from his plan?

Answer:

90,000

Step-by-step explanation:

Step-by-step explanation:

4 is the common difference

Answer:

[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]

Step-by-step explanation:

Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].

Option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".

For the above situation,

The length of the rectangle be 'l'

The breadth of the rectangle be 'b'

Perimeter of the rectangle, P = 2(l+b)

Option A : 1 foot by 2 feet

Here, l = 1 feet and b = 2 feet

⇒ [tex]P=2(l+b)[/tex]

⇒ [tex]P=2(1+2)\\[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.

Option B : 1 foot by 5 feet

Here, l = 1 and b = 5 feet

⇒ [tex]P=2(1+5)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.

Option C :  2 feet by 1 foot

Here, l = 2 and b = 1 feet

⇒ [tex]P=2(2+1)[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.

Option D : 2 feet by 4 foot

Here, l = 2 and b = 4 feet

⇒ [tex]P=2(2+4)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.

Option E :  3 feet by 3 feet

Here, l = 3 and b = 3 feet

⇒ [tex]P=2(3+3)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.

Option F : 4 feet by 2 feet

Here, l = 4 and b = 2 feet

⇒ [tex]P=2(4+2)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.

Option G : 5 feet by 1 foot

Here, l = 5 and b = 1 feet

⇒ [tex]P=2(5+1)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.

Hence we can conclude that option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.

Learn more about the rectangle here

https://brainly.com/question/4074407

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Answer:

18

Step-by-step explanation:

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

995 pounds took the test got it right

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

% (percent) means 100

0.5% of (1000 pounds)

= 0.5% × (1000 pounds)

= 0.5 ÷ 100 (1000 pounds)

=  5 pounds

Answer:

the y intercept is (0,29)

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

We can't see the container. You should ask again with a different picture so you can get the right answer.

Answer:

the answer is 33.4 because 33.4 x 2 is 66.8 and you add 1.2 + 1.2 that is 2.4. you add both and you get 69.2. Th answer is 33.4

Step-by-step explanation:

33.4 x 2 (1.2 x 2) + 69.2

brainliest pls.

Answer:

a = 33.4

Step-by-step explanation:

The short sides are both 1.2. You have to take them into account.

P = 2L + 2W

L is arbitrarily chosen to be the long side. The short side is W.

Givens

P = 69.2

L = a

W = 1.2

Solution

69.2 = 2 * 1.2 + 2a

69.2 = 2.4 + 2a

69.2 - 2.4 = 2a

66.8 = 2a                    

66.8/2 = a

a = 33.4

Answer:

B. Angles that add up to 180°

Step-by-step explanation:

I think that's the answer because supplementary angles add up to 180°

Answer:

X = 70

Step-by-step explanation:

180 - 40 = 140

140/2 = 70

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

The Correct Answer is: 15 bicycles and 6 skateboards.

Step-by-step explanation:

I'm sure it is that one. No Doubts.

Answer:

26.4 (srr if incorrect)

Step-by-step explanation:

Now Mark me Brainiest

Answer:

[tex](3x-4)(5x+2)[/tex]

Step-by-step explanation:

Answer:

I believe you would write the answer is 7 * x is less than 94 (use actual less than symbol for answer).

Step-by-step explanation:

"The sum of negative two and nine" is saying -2 + 9.

"times a number" is saying the answer of -2 + 9 is multiplied by a number, or x.

"is less than ninety four."​ is saying that -2 + 9 * x is less than (use symbol) 94.

So the equation looks like this:

-2 + 9 * x is less than 94.

Now you can simplify the equation:

-2 + 9 = 7

7 * x is less than(use actual less than symbol) 94.

Could I get brainliest please?

Answer:

5/6 in simpleest form is 5/6

It is already the lowest it can go

Answer:

Step-by-step explanation:

5/ 6  is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

Find the GCD (or HCF) of numerator and denominator

GCD of 5 and 6 is 1

Divide both the numerator and denominator by the GCD

5 ÷ 1

6 ÷ 1

Reduced fraction:  

5/ 6

Therefore, 5/6 simplified to lowest terms is 5/6.

Answer:

180-116-30=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

180-116-30=y

Answer:

72 and -2

Step-by-step explanation:

x - y = 74

2x + 3y = 138

x - y = 74

y = x - 74

2x + 3(x - 74) = 138

2x + 3x - 222 = 138

5x = 360

x = 72

x - y = 74

72 - y = 74

-y = 2

y = -2

Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108

Answer:

 =  − 2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Answer:

-5x - 5

Step-by-step explanation:

distribute both -4 and -1/2

it should look like this...

-4x - 8 - x + 3 now add the like terms

-5x - 5

Final answer: -5x - 5

Answer:

New Rural Urban distribution = 56.4 , 43.4

Step-by-step explanation:

Let the total population be = 100

The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively

Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.

Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.

So, New rural population = old rural - rural to urban shift + urban to rural shift  = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4

New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4

So, the new distribution is =  56.4 , 43.4

Answer: x<=24

Step-by-step explanation:

Data: x/4<=6 and to find the answer, we have to find(Isolate) x

x/4(4)<=6(4) which is x<=24

Since we have found x, we have our answer which is x<=24

I hope this helps!