Please help number 9
A living room is 19 feet wide. The carpeted portion of the room is 5x feet long and the adjacent 9) tiled portion of the room is 7y feet long. Use the distributive property to find an expression for the
total area of the living room.
A) 95x + 133y square feet B) 24x + 26y square feet C) 228(x + y) square feet D) 95x + 7y square feet

Answer:

b

Step-by-step explanation:

the triangles are all the same so they are congruent. They are also right triangles so they must be a right triangle the only answer that combine this is b

The green, orange and gray triangles are congruent and right triangles. Thus option B is correct.

Two triangles are congruent triangles if they are of same size and shape.

Right triangle is a triangle with one of angle 90°.

The given triangles of green, orange and gray triangles are of same shape and size . Therefore  we can say that they are congruent triangles

Also we can see that they all have right angle on the left corner therefore they are right triangles . If they are right triangles then they will be also acute triangles too as the some of other two angles of each triangle will be 90 it means they both are less than 90 and congruent means they are similar too as similar triangles have same shape.

Therefore the most appropriate option is Option B , that given triangles are congruent right triangles.

Also, Learn more about the congruent triangles from the given below link:

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Answer:

3rd,5th,6th

Step-by-step explanation:

complementary angles has 90 degree angles and 5x+40 = 5x10+40 = 50+40 = 90 and adjacent angles are angles that add up to a complementary or supplementary angle and do not overlap.

Hope this helps!

Answer:

Step-by-step explanation:

3rd option

x=10

angle ABD + angle DBC = 90

ie 5x + 40= 90

5x=90-40

5x=50

x=10

5th option

both are complementary angles

as  they are sum is 90 degree

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Answer:

The tall of the tree is about 109.85 feet

Step-by-step explanation:

- The tree and its shadow formed a right angle triangle with legs

 x the tall of the tree and 125 feet the shadow of the tree

- Ellie and her shadow formed a right triangle with legs 4 feet and

10 inches the tall of Ellie and 5.5 feet the shadow of Ellie

- The two triangles are similar

- There is an equal ratio between the corresponding sides of the

similar triangles

∵ The tall of the tree is x

∵ The tall of Ellie is 4 feet and 10 inches

babyface17

∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet

∵ The shadow of the tree is 125 feet

∵ The shadow of Ellie is 5.5 feet

- By using similarity ratio

∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie

∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication

∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5

∴ x ≅ 109.85 feet

* The tall of the tree is about 109.85 feet

Answer:

109.85 ft

Step-by-step explanation:

5.5'/ 4'10"=125 ft/x

5.5*12/(4*12+10)=125/x

66/58=125/x

x=125*58/66

x=109.85 ft

Answer:

A) $90.60

B)$304

C)$394.60

D)$304

Step-by-step explanation:A) If she makes 8 cents per product produced and she's produced 755, you multiply 755 times 8 and get 6,040. Place the tenths decimal and you get your answer.

B)She makes 8 an hour and works 38 hours, 38 multiplied by 8 equals $304.

C) Add the answers to both A and C and you get $394.6

D) Refer back to B

Answer:

7959.83

Step-by-step explanation:

A = P ( 1+r/n)^ nt

Where A is the amount in the account

P is the principal

r is the rate

n is the number of compoundings per year

t is the years

A =3000 ( 1+.10/2)^ 2*10

A =3000 ( 1+.05)^ 20

   =7959.83

Answer:

$66,000

Step-by-step explanation:

if they earn 6,000 every year and  another $600 through interest, add 6,000 + 600 = 6,600 x 10 = $66,000.

Answer:

The correct answer is D.

Step-by-step explanation:

hope it works out !!

Answer:

its A

Step-by-step explanation:

i just did it

Answer:

yes it is

Step-by-step explanation:

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors that are prime.

Numbers we can multiply together to get another number.

Example: 2 and 3 are factors of 6, because 2 × 3 = 6

A number can have MANY factors!

Example: What are the factors of 12?

• 3 × 4 = 12, so 3 and 4 are factors of 12

• 2 × 6 = 12, so 2 and 6 are also factors of 12

• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well

So 1, 2, 3, 4, 6 and 12 are all factors of 12

And -1, -2, -3, -4, -6 and -12 also, because multiplying negatives makes a positive.

In Algebra, factors can be expressions like "x+3" etc

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Answer:

56w-7 56/7= 8 -7/7=-1

Step-by-step explanation:

8w-1 answer here

Answer:

B. $57.00

Step-by-step explanation:

The totals add up to just under $55.00, so an overestimate would be $57.00

The value of X is 92.

please see the attached picture for full solution

Hope it helps

Answer: I think it might be the angle in between D and B

Add all the angles in the triangle.

Find the amount missing to make an overall of 180 degrees.

85+33=118 degrees

We are currently missing angle which is 62 degrees.

How ever to find the second missing angle you will need this angle (62) specifically.

because it is on a straight line, take 62 away from 180 to get 118 degrees

the answer is 118 degrees hopefully this helped you

Answer:

Step-by-step explanation:

Exterior angle equals the sum of opposite interior angles

∠DAB = ∠ABC + ∠ACB

          = 85 + 33

∠DAB = 118°

Answer:

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )

x = - 3 ± 3[tex]\sqrt{3}[/tex]

x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a

Answer:

a

Step-by-step explanation:

Answer:

Area of the grass in the circular lawn is 1256 square feet

Step-by-step explanation:

Lawn is in the shape of circle having radius = 20 feet

Area of the circular lawn will be represented by the formula,

Area = πr² [ Here 'r' = Radius of the circular lawn]

        = (3.14)(20)²

        = 3.14 × 400

        = 1256 square feet

Therefore, area of the grass in the circular lawn will be 1256 square feet.

Answer:

they are corresponding angles

Step-by-step explanation:

Answer:

4. [tex]\frac{13}{23}[/tex]

5. [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

4. The relative frequency is how often it happens divided by the whole number of outcomes.

In this case it would be [tex]\frac{13}{23}[/tex]

5. Find the relative frequency again:

[tex]\frac{12}{28}=\frac{4}{7}[/tex]

Answer: A

Step-by-step explanation:

The missing angle is <CVB.

An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.

An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner".

We have m < AVC = 39

and, m <VCB = 23

Thus, by adding the above angle we get the whole angle AVB.

Sp. m< AVB = m <AVC + <VCB

m <AVB = 23 + 39

m <AVB = 62

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Answer

D (12)

Step-by-step explanation:

60-20=40

40-18=22

22-10=12

Answer:

-3/11

Step-by-step explanation:

The slope of the line is given by

m = (y2-y1)/(x2-x1)

   = (-1-2)/(5--6)

   = -3/(5+6)

   = -3/11

Answer:

[tex]\frac{-3}{11}[/tex]

Step-by-step explanation:

You use the formula to solve:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m =\frac{-1-2}{5+6}\\m = \frac{-3}{11}[/tex]

Answer:

Rotation

Step-by-step explanation:

The type of transformation maps triangle GFH onto triangle G'F'H' will be; Rotation.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs.

We are given that Triangle GFH is rotated to form triangle G prime F prime H prime.

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]

Horizontal stretch by a factor k: [tex]y = f\left(\dfrac{x}{k}\right)[/tex]

The rotation transformation maps triangle GFH onto triangle G'F'H'

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Answer:

B. (x - 4)² + y² = 12

Step-by-step explanation:

Rewrite in standard form to find the center (h,k) and radius r.

Answer:

B?

Step-by-step explanation:

Answer:

The probability is most likely to occur

Step-by-step explanation:

Answer:

p = {0, -1.095445115, 1.095445115}Step-by-step explanation:

Answer:

30p^3-36p. Also, my day was niceeeee.

Step-by-step explanation:

To simplify this, we have to use the distributive property. First, you do 6 times 5p^3, and then you get 30p^3. Then you do 6 times 6p, which gives you 36p. So, the final answer would be 30p^3-36p.

Answer:

C

Step-by-step explanation:

"at least" is denoted by ≥. The amount of figures Carlos and Josh have can be represented by 5x + 4 and 3x + 14 respectively where x is the amount of figures in a set. We can write:

5x + 4 ≥ 3x + 14

2x ≥ 10

x ≥ 5

Answer:

4, 2, not have the same effect on, halves, 1/4

Step-by-step explanation:

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Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

We are given a right cone with;

radius = 2

height 6

volume is; V = ¹/₃π(2)²6 = 8π units³

If the height is now 3, then the new volume is;

¹/₃π(2)²3 = 4π units.

If the radius is now 1, then the new volume is;

¹/₃π(1)²6 = 2 units.

Therefore, changing the height to half of its original value and changing the radius to half of its original value does not have the same effect on the volume. Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

Read more about Volume of Cone at; https://brainly.com/question/12004994

Answer:

Undefined

Step-by-step explanation:

Slope of CD

[tex] = \frac{8 - ( - 7)}{4 - 4} = \frac{8 + 7}{0} = \infty \\ [/tex]

Hence, Slope of CD is undefined.

Answer:

1.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer will be

2/16 + 5/8 = 3/4

Answer:

(2, 2.5)

Step-by-step explanation:

To find the midpoint, the middle point of a line segment

Add the x coordinates together and divide by 2

(1+3)/2 = 4/2 =2

Add the y coordinates together and divide by 2

(7-2)/2 = 5/2 =2.5

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The right answer is (2,2.5)

please see theattachedpicture for full solution

Hope it helps

Good luck on your assignment

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