Find the perimeter and area of the shaded figure below.

How to solve:

    Let's follow his process step-by-step to analyze what property is being used. The breakdown is as follows:

Jayden's work

Set up equation                                                     9(2 + 7x)

Step 1                                                                      9(7x + 2)

Step 2                                                                     9(7x) + 9(2)

Step 3                                                                      (9*7)x + 18

Breakdown

Set up equation                                                     9(2 + 7x)

Step 1: Commutative Property of Addition

This property states that when adding, the order of the numbers being added does not matter, and are therefore interchangeable.

Original equation: 9(2 + 7x)

Equation's formula: a(b + c)

Changed equation: 9(7x + 2)

Equation's formula: a(c + b)

By swapping the b and c values in the parentheses, Jayden is demonstrating the Commutative Property. Both will still produce the same sum.

Step 2: Distributive Property of Multiplication

This property states that the sum of two addends that are multiplied by the same number is equal to the product of that number multiplying the sum of both addends.

Original equation: 9(7x + 2)

Equation's formula: a(c + b)

Changed equation: 9(7x) + 9(2)

Equation's formula: a(c) + a(b)

By splitting the parentheses and multiplying each term separately, Jayden is demonstrating the Distributive Property. Both will produce the same product.

Step 3: Associative Property of Multiplication

This property states that the product of three terms, where one is outside of the parentheses multiplying the other two, is not affected by changing which term is on the outside of the parentheses.

Original equation: 9(7 * x) +18

Equation's formula: a(c*x) + (ab)

Changed equation: x(7*9) + 18

Equation's forumula: x(c*a) +18

By swapping the 9 and x variables, Jayden is demonstrating the Associative Property. Both will produce the same product.

Simplified:

Step 1 - Commutative Property

Step 2 - Distributive Property

Step 3 - Associative Property

Answer:

See the attached image for solutions.

Step-by-step explanation:

X-ray vision to all students ratio:

6:36, which can be simplified to 1:6.

Flight to all students ratio:

8:36, which can be simplified to 2:9.

Flight to inivisibility ratio:

8:36, which can be simplified to 2:3.

Hope this helps! :)

Answer:

X-ray vision to all students: 6:36 = 1:6

Flight to all students: 8:36 = 2:9

Flight to inivisibility: 8:36 = 2:3

Hope this helps!

Answer:

1435

Step-by-step explanation:

Answer:

1435 mL

Step-by-step explanation:

The milk jug with 885 mL is Jug A, and the milk jug with 550 mL is Jug B.

To find how much milk is in both jugs, you must add the volumes of Jug A and Jug B.

885 + 550 = 1435

hope this helps :)

Answer:

144 cubic inches

Step-by-step explanation:

volume = l x w x h. This = 8 x 6 x 3.

Hope this helps :)

1/12 yards taken for each gifts

Explanation:

[tex]\ \sf total \ material \rightarrow \dfrac{1}{3}[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \div 4[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{3} \ * \ \dfrac{1}{4}[/tex]

[tex]\ \sf each \ gift \ material \rightarrow \dfrac{1}{12}[/tex]

Material per gift:-

Answer: 1/4 OR 1/8

Step-by-step explanation:

the first coin can be heads which has a 1/2 chance of happening and the other coin also has a chance to get tails which is 1/2

if you add the 1/2 and the other 1/2 you can get 1/4 OR 1/8

Answer:

1/4

Step-by-step explanation:

1/2x1/2

half of one half can be achieved by doubling the denominator

1/4

Answer:

A

Step-by-step explanation:

if you need further explanation tell me but i'm assuming you're taking a test

Step-by-step explanation:

Let the number be x

10% of x = 15

10/100 × x= 15

⅒ × x = 15

x= 15×10

x=150

Answer:

I think the volume is 15

Step-by-step explanation:

2.5 x 3 then multiply that by 2

Answer:

I thank it is C

Step-by-step explanation:

hope this helps if not please let me now

Answer:

C) $21,000

*Brainliest would be appreciated.

Step-by-step explanation:

Answer:

The two possible measures tobproduce a ️ are ''Three angles: 62, 32°, and 84°" & "Three sides: 4cm, 7cm, and 9cm"

The triangle is formed by two sides of 4 cm and 7 cm with an angle of 54° between those two sides

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Two sides of 4 cm and 7 cm with an angle of 54° between those two sides would produce two possible triangles.

This is because if the angle is between the two sides, the two sides can be positioned in two different ways to form two distinct triangles, whereas if the angle is not between the two sides, only one triangle can be formed.

The other measures listed do not provide enough information to determine if there are one or two possible triangles.

Hence , the triangle is solved

To learn more about triangles click :

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Answer:

4/3 ounces

Step-by-step explanation:

There are 8 in each tray, and there are 3 trays

8 * 3 = 24 empanadas

32/24 = 4/3

Camilo uses 4/3 ounces of filling in each empanada.

Hope this helps!

Answer:

4/3 ounces

Step-by-step explanation:

Step-by-step explanation:

Hope it helps you

Please mark me as brainlist

Answer:

The answer is d and b hope this helps!

Answer:

3.75 quarts, rounded to 3.8 quarts

Step-by-step explanation:

3 quarts of solution is 10% antifreeze, so 0.3 quarts are already antifreeze, and 2.7 quarts are not.

a(the antifreeze we already have)+x(what we're going to add)= 1.5*2.7

Let me explain. If we have 60% antifreeze, 40% is not. 60/40=1.5

Substitute a for 0.3

0.3+x=4.05  Subtract 0.3 from both sides

x=3.75

Answer:

She biked 8 blocks

Step-by-step explanation:

Answer: ∠DOB: 48°

Step-by-step explanation:

1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°

2. now we can solve for the missing variable, n.

108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°

3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°

hope this heped! ♡

Answer:

focus only on parallel lines which are A and B

angle 5 = angle 6

angle 4 = angle (4x+5)

angle 1 equals angle 3

angle 2 equals angle (3x+7)

notice pattern

look in your notes to see what these angles are called

see pattern?

another pattern......

on same side of parallel lines,

the angles equal same

so angle 3 = angle 6= angle (3x+7)

equals angle (4x+5)

and on left side of parrallel line with intersection ;line,... same concept all same

so if 4x +5 equals 3x+7...... what would be the next step?

stop and think... .... you can solve with those two equations

look above at statement with equals.... what math symbol do you replace with equals?   use algebra to solve

Step-by-step explanation:

8 1/4 feet or

8.25 feet

Answer:

8 1/4 ft

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

So,0= the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values for different conditions were calculated with the help of trigonometric functions.

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths

Part A

Given that,

f(x)=2sinθ+[tex]\sqrt{2}[/tex]

Non compressed length = [tex]\sqrt{2}[/tex]

Then

2sinθ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sinθ=0

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Part B

Here angle is doubled

Then,

2sin2θ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sin2θ=0

sin2θ=0

Here θ will be the integer multiple of [tex]\frac{\pi }{2}[/tex]

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

g(x)=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

Here

f(x)=g(x)

2sinθ+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

2sinθ=1-[tex]cos^{2}[/tex]θ

we know that [tex]1-cos^{2}[/tex]θ=[tex]sin^{2}[/tex]θ

2sinθ=[tex]sin^{2}[/tex]θ

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Hence, we have solved that

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

Learn more about Trigonometric functions here

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Answer:

6

Step-by-step explanation:

3+3x1=6 when you do math you go by PEMDAS (parentheses, exponents, multiplication,division,addition, and subtraction) always go in the order of PEMDAS. So with this question you do M (multiplication) then you do A(addition). so it will be 3x1=3+3=6 hope this sums it up

Answer:

36 meters 75 meters and 2 times greater

Step-by-step explanation:

i just used a caculator.

Answer:

25= first

50= second

 2= third/last

Step-by-step explanation:

Answer:

$30.135 or if rounded up $30.14

Step-by-step explanation:

subtract 35 from 396.62

396.62 - 35 = 361.62

divide 361.62 by 12

361.62/12 = 30.135

Answer:

e

Step-by-step explanation:

Jayden bought an item for $396.62 with sale tax.

He already payed $35 as a down payment.

396.62 - 35 = 361.62

He pays the item in 12 equal monthly payments.

361.62 / 12 ≈ 30.14

(really equal to 30.135)

he pays abt $30.14 each month

hope this helps :)

Answer:

33/4 = 8 and 1/4 = 8.25

Step-by-step explanation:

3 1/4 + 3 1/4 +7/8 + 7/8 = 33/4

Answer:

33/4 = 8 and 1/4 = 8.25

Step-by-step explanation:

brainliest pls

Answer:

240000

You have you multiply 40*6,000=240000. So that is your answer.

Answer:

240,000

Step-by-step explanation:

6,000x40=240,000