write an expression using division that could be used to find the width of the rectangle

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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Answer:  x = -3/2

Step-by-step explanation:

Answer:

3 and 7 = co-interior angles

3 and 8 = corresponding angles

4 and 7 = Alternate angles

6 and 8 = Vertically Opposite Angles

1 and 2 = supplementary angles

2 and 5 = i don't know

Answer:

1.  370, 670 - 300 = 370

2. 123.3%, 670 - 300 / 300 x 100 = 123.3%

3. 14.7%, 47.2 - 32.5 = 14.7%

Answer:

Step-by-step explanation:

The common ratio of this sequence is 3.  Next 3 terms are  -81, -243, and -729.

Answer: B. Sameer did not use the correct equation

Step-by-step explanation:

12 IS three-fourths OF x

IS: equals

OF: multiplication

\(12=\dfrac{3}{4}x\)

48 = 3x

16 = x

Answer:

it's b in Edg

Step-by-step explanation:

The missing angles in triangle RST and LMN are 121° and 15° respectively.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The Latin word "angulus," which means "corner," is where the term "angle" originates.

Angle position describes how a line interacts with another line or plane. The amount of rotation of the body relative to the reference position is used to calculate the angle of position.

Theta (), the sign used to represent the angular position, can represent the angle in degrees (°), radians (rads), or revolutions.

So, in the triangle RST:

Missing angle:

44 + 15 + x = 180

x = 180 - 59

x = 121°

In triangle LMN:

121 + 44 + x = 180

x = 180 - 165

x = 15°

Therefore, the missing angles in triangle RST and LMN are 121° and 15° respectively.

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Answer:

B 12.375 is the answer

Step-by-step explanation:

Key skills needed: Fraction to Decimal Conversion

1) The mixed number that is in the question is --> \(12\frac{3}{8}\)

2) We need to find 12 and 3/8 as a decimal.

\(12\frac{3}{8}= 12 + \frac{3}{8}\)

This means it would be 12."something"

We need to find out what \(\frac{3}{8}\) as a decimal is.

3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).

4) Check the image I posted to see how I did 3 ÷ 8.

5) Well based on the division, 3 divided by 8 is 0.375

This means that \(12 + \frac{3}{8} = 12 + 0.375 = 12.375\)

Therefore 12.375 is your answer

Hope you understood and have a nice day!! :D

Answer:

-11

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

4*-2=-8

-8 -3=-5

Answer:

See below ~

Step-by-step explanation:

Q3

Q4

#3

Simiilary

#4

And

Answer:

10 feet

Step-by-step explanation:

Find the hypotenuse

a^2 + b^2 = c^2

6^2 + 8^2 =c^2

36+ 64 = c^2

100=c^2

(square root) 100 = 10

c=10

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

(6, 3)

Step-by-step explanation:

x=6 y=3

2(6) -3 =9

12 -3 = 9

Answer:

(3,-3)

but there are infinately many more.

Step-by-step explanation:

We need to find a pair of numbers that when substituted in 2x-y we get 9.

because this equation is linear there are actually an infinite number of solutions. So all we have to to is pick a random number for x, say 3, and there will only be 1 value of y that will satisfy the equation, so we just plug it in.

let x =3

2x - y = 9 ⇒ 2×3 - y = 9

                ⇒ 6 -y = 9

                ⇒ -y = 3

                ⇒ y = -3

so (3,-3) is a solution

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

This is the same as writing y = sqrt(4(x+5)) - 1

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

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer: B: cone with a height of 4 units and a radius of 3 units

Step-by-step explanation:

Surface Area: 9pi + 15pi = 24pi square units

Volume: 9pi x 4 x 1/3 = 12pi cubic units

Answer:

18.5

Step-by-step explanation:

27 rounds up to 30. 53 rounds up to 50

Answer:

19.00

Step-by-step explanation:

Answer:

The answer to this question should be D. 0.67

Hope this helped.

Answer:

6/18

Step-by-step explanation:

Answer:$18.90

Step-by-step explanation: Average cost of 1 avocado is $2.10 so you would do $2.10*9

Answer:

A) Yes, because the sum of any two side lengths is greater than the third side length.

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is greater than 10, and the other two combinations (4 + 10 and 8 + 10) also satisfy this rule. Therefore, the given side lengths do form a triangle.

Step-by-step explanation:

Answer:

58593750

Step-by-step explanation:

Each of the number time 5

Answer:

Burger meal costs $8 and hot dog meal costs $6.

Step-by-step explanation:

To find the price per meal, write a system of equations.

Let b = cost of a burger meal and d = cost of a hot dog meal.

Write the equation 3b + 4d = 48 for the Woodsons.

Write the equation 6b + 2d = 60 for the Barkers.

Use elimination to solve the system. Begin by making the coefficients of one variable the same in both equations by multiplying 3b + 4d = 48 by 2.

2(3b + 4d = 48) ----> 6b + 8d = 96

Stack the equations and subtract.

  6b + 8d = 96

-   6b + 2d = 60

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

           6d = 36

             d = 6

Substitute d = 6 into one equation to solve for b.

3b + 4(6) = 48

3b + 24 = 48

3b = 24

b = 8

Answer:

1 2/5

Step-by-step explanation:

Flip 2/5 to be 5/2

Multiply.

2/3 ⋅ 2/5 = 10/6

Simplify.

1 2/5

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Answer:

4) 34.1 ft²

6) 9.9 ft²

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.

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

4) A = 1/2 × 11 × 6.2

5.5 × 6.2 = 34.1 ft²

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

6) A = 1/2 × 6 × 3.3

3 × 3.3 = 9.9 ft²

hope this helps!

Answer:

  46

Step-by-step explanation:

The midsegment DF has half the length of the side AC it is parallel to.

__

AC = 2×DF = 2×23

AC = 46