Which of the following verifies that AABC is similar to A DEF?

Answer:

the first choice

Step-by-step explanation:

0.25= 0.25

2/3= 0.3333333

56%= 0.56

0.25<0.33<0.56

Answer:

Option B.

Step-by-step explanation:

If equation of a line is y=mx+c, then m is the slope of line.

The given equation is

[tex]y=-\dfrac{2}{3}x+4[/tex]

Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].

We need to find the equation of line that is parallel to given equation and passes through (–2,–2).

We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]

[tex]3(y+2)=-2(x+2)[/tex]

[tex]3y+6=-2x-4[/tex]

[tex]3y=-2x-4-6[/tex]

[tex]3y=-2x-10[/tex]

Divide both sides by 3.

[tex]y=\dfrac{-2x-10}{3}[/tex]

[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]

Therefore, the correct option is B.

Answer:

B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction

Step-by-step explanation:

The vertex form of the quadratic equation is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

For a quadratic equation:

[tex]y = a*x^2 + b*x +c[/tex]

With vertex (h, k), the vertex form is:

[tex]y = a*(x - h)^2 + k[/tex]

In this case, we have the equation:

[tex]h(x) = x^2 - 6x + 3[/tex]

To get the x-value of the vertex we use the general formula:

[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]

To get the y-value, we evaluate the function in x = 3, so we get:

[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]

So the vertex is (3, -6).

Then the vertex form is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

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Answer:

Step-by-step explanation:

Let the numbers be x and y

Sum = x + y

Sum = one number + 20

[tex]x + y = x + 20[/tex]

Cancel equal terms on both sides of the equation.

[tex]y = 20[/tex]

Again,

Finding another number

Sum = other number + 18

[tex]x + y = y + 18[/tex]

Cancel equal terms on both sides of the equation

[tex]x = 18[/tex]

Hence, The two numbers are 18 and 20.

Hope this helps..

Best regards!

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

The area of the figure decreases when the dimension is decreased

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the figure be represented as ABCD

where ABCD is a rectangle

Now , the measures of the sides of the rectangle be

The length of the rectangle = L

The width of the rectangle = W

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle = LW

when the dimension of one of the unit is decreased , we get

when L = L/2

Area of rectangle = ( LW) / 2

So , the area of the figure is decreased bu ( 1/2 )

Hence , the area of the figure decreases

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Answer:

1. an ordered pair is a pair or numbers in a specific order. It's a set of points.

2. The x-value is always first in an ordered pair, y-value second

3. The distance between the points is 5 units

Step-by-step explanation:

1. For example, (x,y)

2. no explanation needed

3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.

hope this helps! please give brainliest!!

An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).

The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.

The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.

The distance between (4, 3) and (4, -2)...

d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.

Since distance can't be negative, the distance between the coordinates is 5 units.

Answer:  see Steps 1 - 5 (attached)

Step-by-step explanation:

I completed #1 for you. Each image shows one of the steps.

Follow the exact same steps to complete #2 - #5

#6 asks for a double angle.  

Add an extra item to step 3: Draw an arc from vertex through the line  

--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''.  Use the measure of the vertex to B'' for the remaining steps.

If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.

Answer:

[tex]5 \frac{1}{3}[/tex] degrees per hour.

Step-by-step explanation:

If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.

[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]

[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]

[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].

So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex]  degrees per hour.

Hope this helped!

Answer:

5 1/3

Step-by-step explanation:

Answer:

(x−3)(x+8)

Step-by-step explanation:

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

Answer:

Step-by-step explanation:

a. The cost of a ticket after n price increases of $5 each will be ...

  c(n) = 50 +5n

The number of season-ticket holders (q) after n price increases will be ...

  q(n) = 200 -10n

__

b. The revenue after n price increases will be ...

  R(n) = c(n)·q(n) = (50 +5n)(200 -10n)

  R(n) = 50(10 +n)(20 -n)

__

c. See the attachment for a graph

__

d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.

Answer:

the radius of the pool is 50.025 feet

Step-by-step explanation:

From the information given:

We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.

So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:

[tex]r^2 + 49^2 = ( r + 20 )^2[/tex]

[tex]r^2 +2401 = r^2 + 40r + 400[/tex]

[tex]2401 = 40r + 400[/tex]

[tex]2401- 400 = 40r[/tex]

2001 = 40 r

r = 2001/40

r = 50.025 feet

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Answer:

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2.

15^2+ b^2=25^2

225+b^2= 625

b^2=400

b= 20 or x=20

Answer:

x = 20

Step-by-step explanation:

This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve.  The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

Subtract 225 from both sides to get b^2 alone.

b^2 = 625 - 225

b^2 = 400

Find the square root of both sides.

b = 20 or x =  20

Would appreciate it if you gave me brainliest answer :)

Answer:

No equal

Step-by-step explanation:

If you multiply through you get

4x+8+3x+7 which equals

7x+15 which is not equal to 7x+14

Answer:

Step-by-step explanation:

Let's solve:

[tex]4(x + 2) + 3x + 7[/tex]

Distribute 4 through the parentheses

[tex] = 4x + 8 + 3x + 7[/tex]

Collect like terms

[tex] = 7x + 8 + 7[/tex]

Add the numbers

[tex] = 7x + 15[/tex]

Hope this helps..

best regards!

Answer:

Step-by-step explanation:

Let the equation of the exponential function is f(x) = a(b)ˣ

Two points (-2, 4) and (-1, 2) lie on the graph,

For (-2, 4),

By substituting the values in the given function,

[tex]4=a(b)^{(-2)}[/tex]

[tex]4=\frac{a}{b^{2} }[/tex] ------(1)

For second point (-1, 2),

[tex]2=a(b)^{-1}[/tex]

[tex]2=\frac{a}{b}[/tex] -----(2)

Dividing equation (1) by equation (2),

[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]

[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]

[tex]2=\frac{1}{b}[/tex]

b = [tex]\frac{1}{2}[/tex]

From equation (1),

[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]

4 = 4a

a = 1

Therefore, equation of the exponential function will be,

f(x) = [tex]1.(\frac{1}{2})^{x}[/tex]

[tex]f(x)=(\frac{1}{2})^x[/tex]

Option (A) will be the answer.

Answer:Answer:

Option (A)

Step-by-step explanation:

Let the equation of the exponential function is f(x) = a(b)ˣ

Two points (-2, 4) and (-1, 2) lie on the graph,

For (-2, 4),

By substituting the values in the given function,

------(1)

For second point (-1, 2),

-----(2)

Dividing equation (1) by equation (2),

b =

From equation (1),

4 = 4a

a = 1

Therefore, equation of the exponential function will be,

f(x) =

Option (A) will be the answer.

Step-by-step explanation:

Answer:

f = 27

Step-by-step explanation:

11 = f - 16

Add 16 to both sides.

11 + 16 = f - 16 + 16

27 = f

Answer:

D. 25 inch²

Step-by-step explanation:

Area of sector of a circle =(r^2∅) /2

where,

r = radius of the circle

∅= angle subtended by the arc at the center of circle in radians.

Given :

∅ =155°  

radius =4.3 in

Convert 155° to radian

πradian=180°

155°=π / 180°*155°

=2.705 radians

Area of sector of a circle =(r^2∅) /2

=(4.3^2 * 2.705) / 2

=(18.49 * 2.705) / 2

=50.01545 / 2

=25.007725 inch²

Approximately 25 inch²

25in^2

hope this helpsss ✓✓✓

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

Answer:

  see below for a table; see second attachment for a graph

Step-by-step explanation:

Each of the distance values in km in the table will be 3 times the time value in hours.

The slope of the line on the graph is 3. The practical domain of the distance function is 0 to 5 hours.

Answer:

You can try substituting the 1's for different variables (E, D) in the formula , to get answers for each.

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

The answer is in the picture

Answer:

47

Step-by-step explanation:

If a number x < 0, |x| = -x, in this case, x = -47, therefore |-47| = -(-47) = 47.

Answer:

1.5

Step-by-step explanation:

[tex]y \: \alpha \: \frac{1}{x} [/tex]

y = k ÷ x

yx = k

y = 6 , x = 3

6 • 3 = k

18 = k

when y = 12 , x = ?

yx = k

12x = 18

x = 18÷12

x = 3/2

x = 1.5

Answer:

ab² - a²b

Step-by-step explanation:

a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.

Answer:

C. 5.5 = 27.5

Step-by-step explanation:

The customer did not provide any supplies which means that the number 3.25 should not even be apart of the answer choice because it is not being deducted.

5.50 multiplied by how many widows (w) are washed should equal 27.50

Therefore C. 5.5 = 27.5 is the answer

Answer:

C) 5.5 w = 27.5

Complete question :

In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Earned revenue = $53,000

Cash received from customers = $45000

Incurred expenses = $29,500

Cash paid towards incurred expenses = $23,050

Cash which will not be expensed till next year = $8,750

Cash Accounting:

Cash received $45,000

Expenses ($23,050 + $8750) = $31,800

Net Income $(45,000 - 31,800) = $13,200

Accrual Accounting :

Revenue earned $53,000

Expenses incurred $29,500

Net income $(53,000 - 29,500) = $23500

Answer:

B is the correct answer.

Step-by-step explanation: If tanx=1, then cosx=√2/2. Use your half angle formulas to plug cosx in, and you should get B as your answer.

Answer:

competitions

Step-by-step explanation:

I got it right.