In the diagram below, which pair of angles has the same measure?

Answer:

See explanation

Step-by-step explanation:

Given

[tex]Flat = 20[/tex]

[tex]Visit = 5[/tex]

Required

The function to represent x visits

This is calculated as:

[tex]f(x) = Flat + Visit * x[/tex]

So, we have:

[tex]f(x) = 20 + 5 * x[/tex]

[tex]f(x) = 20 + 5x[/tex]

The second question is incomplete; however, I will explain how to calculate the horizontal asymptote of a rational function.

For polynomials with the same degree (i.e. m = n), the horizontal asymptote is calculated by dividing the coefficients of the highest degrees.

e.g.

[tex]f(x) = \frac{6x^2 + 1}{3x^2 + 4}[/tex] ---the degrees of both is 2

So, the horizontal asymptote is:

[tex]y = 6/3[/tex]

[tex]y =2[/tex]

If the numerator has a higher degree, then there is no horizontal asymptote.

If the denominator has a higher degree, then the horizontal asymptote is:

[tex]y = 0[/tex]

Answer:

First one is B, Second is 5

Step-by-step explanation:

got it right on edge

Can you put picture, it is not clear

Answer:

I tried out part a) not so sure though. I also think that for part b) u have to convert the m to cm then divide the answers by 50

The real length and width of the dinning room is 7 m and 6.2 m.

The length and width of the lounge in centimeters is 800 cm and 680 cm.

To convert the meter to cm, multiply the given meter value by 100 cm.

To convert the measurement from centimeters to meters, divide the number of centimeters by 100 or multiply the number of centimeters by 0.01.

According to the question

A plan of a house is drawn to a scale of 1:50

On the plan, the dining room is 14 cm long and 12.4 cm wide.

1 m = 100 cm

a. Length of the dinning room = 14 cm  = [tex]\frac{14}{100}[/tex] = 0.14 m

Width of the dinning room = 12.4 cm = [tex]\frac{12.4}{100}[/tex] = 0.124 m

Actual length = 0.14 × 50 = 7 m

Actual width = 0.124 × 50 = 6.2 m

Hence, the real length and width of the dinning room is 7 m and 6.2 m

b. Length of lounge = 8 m

Width of lounge = 6.8 m

1 m = 100 cm

Length of lounge (cm) = 8 × 100 = 800 cm

Width of lounge (cm) = 6.8 × 100 = 680 cm

Hence, the length and width of the lounge is 800 cm and 680 cm.

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Answer:

26/35

Step-by-step explanation:

So we gotta add it together, so 1/7+0.6 or 1/7+3/5. Common denominator is 35, so the answer is 26/35

Answer:

Step-by-step explanation:

15. = 2.39

and jus use mathaway lma

Answer:

Step-by-step explanation:

Relation 1 is a function

Relation 2 is not a function

Relation 3 is a function

Realation 4 is not a function

Answer:

-3/2

Step-by-step explanation:

Using the slope formula, we can find the slope of the line shown

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

    = ( -1-3)/(-3-3)

   = -4/-6

  = 2/3

A line that is perpendicular is the negative reciprocal

-1/ (2/3) = -3/2

Answer:

the slope is 0

Step-by-step explanation:

y2-y1/x2-x1=-1-3/-3-3

y=0

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°

Answer:

x>4

Step-by-step explanation:

3/(x-4) >0

Divide each side by 3

3/(x-4) * 1/3 >0*1/3

1/(x-4) >0

We know if 1/(x-4) >0 then x-4 > 0

x-4>0

Add 4 to each side

x-4+4 >0+4

x>4

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]:\implies{\dfrac{3}{x-4}>0}\\\\:\hookrightarrow{\dfrac{3}{x-4}×\dfrac{1}{3}>0×\dfrac{1}{3}}\\\\:\longrightarrow{x-4>0}\\\\:\implies{x-4+4>0+4}\\\\ :\dashrightarrow{\sf{x>4}}[/tex]

Answer:

70 cents or 0.70 dollars

Step-by-step explanation:

one dime is 10 cents so if you have 7 than you have 70 cents

Answer: Is this a question? Or statement Yes they can be angles

Step-by-step explanation:

Answer:

A) 4.7 < x < -3

B) 1.14 < x < 1.09

Step-by-step explanation:

a)

x + 14 < 4x + 2 < 3x + 11

x + 14 < 4x

14 < 4x - x

14 < 3x

4.7 < x

2 < 3x + 11

2 - 11 < 3x

-9 < 3x

-3 < x

4.7 < x - 3 < x

4.7 < x < -3

b)

x + 8 < 8x - 6 < 5x + 12

x + 8 < 8x

8 < 8x - x

8 < 7x

1.14 < x

-6 < 5x + 12

12 < 5x + 6

12 < 11x

1.09 < x

1.14 < x 1.09 < x

1.14 < x < 1.09

Answer:

x < -51/10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-2(5x + 1) > 49

Step 2: Solve for x

Answer:

x < -51/10

Step-by-step explanation:

-10x -2 > 49

-10x > 51

x < -51/10

Answer: [tex]864\ m^2,\ 24\ m[/tex]

Step-by-step explanation:

Given

Perimeter of the rhombus is [tex]120\ m[/tex]

Length of one of the diagonal is [tex]d_1=36\ m[/tex]

All the sides of the rhombus are equal

[tex]\Rightarrow 4a=120\\\Rightarrow a=30\ m[/tex]

Area of the rhombus with side and one diagonal is

[tex]\Rightarrow \text{Area=}\dfrac{1}{2}d\sqrt{4a^2-d^2}[/tex]

Insert the values

[tex]\Rightarrow \text{Area=}\dfrac{1}{2}\times 36\times \sqrt{4\cdot 30^2-36^2}\\\\\Rightarrow \text{Area= }18\sqrt{3600-1296}\\\Rightarrow \text{Area= }18\times 48\\\Rightarrow \text{Area= }864\ m^2[/tex]

Area with two diagonals length can be given by

[tex]\Rightarrow \text{Area =}0.5\times d_1\times d_2 \\\text{Insert the values}\\\Rightarrow 864=36\times d_2\\\Rightarrow d_2=24\ m[/tex]

Thus, the area of the rhombus is [tex]864\ m^2[/tex] and the length of the other diagonal is [tex]24\ m[/tex]

Answer:

Supplementary angles

Step-by-step explanation:

Angles 1 and 2 form a straight line which is 180 degrees.

They are supplementary angles

Answer:

Step-by-step explanation:

Answer:

4,1,-6

3,-3,-4

x-axis,5,0

2,-7,3

1,4,2

y-axis,0,-4

Step-by-step explanation:

Answer:

[tex]TD \cong GS[/tex]

Step-by-step explanation:

See comment for complete question

Given:

[tex]TM \cong GL[/tex]

[tex]MD \cong LS[/tex]

Required

The information that shows [tex]\triangle MTD \cong \triangle LGS[/tex] by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

[tex]TM \cong GL[/tex]

[tex]MD \cong LS[/tex]

The third side of [tex]\triangle MTD[/tex] is [tex]TD[/tex]

The third side of [tex]\triangle LGS[/tex] is [tex]GS[/tex]

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

[tex]TD \cong GS[/tex]

Answer:

1. 22:24 and 33:36

2. Yes, because for every time x move two times y will move three times in a graph, just like if a ratio between boys and girls was 2:3 it would mean that for every 2 boys there are 3 girls.

Step-by-step explanation:

11:12 = 22:24 and 33:36

Answer:

see graph

Step-by-step explanation:

The function that is shown below is the graph of the given function [tex]y = log_{4}(x+3)[/tex] .

"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."

The given function is:

[tex]y = log_{4}(x+3)[/tex]

For [tex]x = -2[/tex], [tex]y = log_{4}(-2+3) = log_{4}1 = 0[/tex]

For [tex]x = -1[/tex], [tex]y = log_{4}(-1+3) = log_{4}2 = 0.5[/tex]

For [tex]x = 0[/tex], [tex]y = log_{4}(0+3) = log_{4}3 = 0.793[/tex]

For [tex]x = 1[/tex], [tex]y = log_{4}(1+3) = log_{4}4 = 1[/tex]

For [tex]x = 2[/tex], [tex]y = log_{4}(2+3) = log_{4}5 = 1.161[/tex]

By putting the values of (x, y) in the graph, we get the graph of [tex]y = log_{4}(x+3)[/tex].

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Answer:

Step-by-step explanation:

In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:

[tex]m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}[/tex]

Since there's only one choice with that slope, that is the choice you want.

Answer:

1/27

Step-by-step explanation:

- substitute the variable with the given datas

[3^-5 * 3^4]^3 * [3^-4 * (-9)^3]^0

- use  the properties of power

(3^-1)^3 * 1

3^-3

(1/3)^3

1/27

The answer is number 3 i.e. 1/27

Answer:

The correct answer is B. $13,875.

Step-by-step explanation:

Since X and Y are in partnership with capital contributions of $ 50000 and $ 30000 respectively, and the partnership agreement provides that profits are to be shared in proportion to capital contributions and each partner is entitled to 10% interest on capital, and profit for the year was $ 37000, to determine what was the total amount credited to Y’s current account at the end of the year the following calculation must be performed:

50,000 + 30,000 = 80,000

80,000 = 100

30,000 = X

30,000 x 100 / 80,000 = X

37.5 = X

37,000 x 0.375 = X

13.875 = X

Answer: [tex]x =\dfrac{\fbox{-3}+i \sqrt{} \fbox{11} }{\fbox{10}}\: \: \: \: or\: \: \: \: x =\dfrac{\fbox{-3}-i\sqrt{} \fbox{11} }{\fbox{10}}[/tex]

Step-by-step explanation:

Find the discriminant.

-5x² - 3x - 1 = 0

D = b² - 4a · c

a = - 5

b = - 3

c = - 1

[tex]D=(-3)^{2} -4 \cdot (-5) \cdot (-1) = -11 < 0\\\\D=-11=- 1 \cdot 11 = i^{2} \cdot 11\\\\\sqrt{D} =\sqrt{i^{2} \cdot 11} =i\sqrt{11}\\\\ x_{1} =\dfrac{3+i\sqrt{11} }{2 \cdot (- 5)} =\dfrac{3+i\sqrt{11} }{-10}=\dfrac{-3-i\sqrt{11} }{10}\\\\x_{2} =\dfrac{3-i\sqrt{11} }{2 \cdot (- 5)} =\dfrac{3-i\sqrt{11} }{-10}=\dfrac{-3+i\sqrt{11} }{10}[/tex]

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

Answer:

the correct answer is option 1.

The correct explanation is: All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

In an equilateral triangle, all three sides are congruent, and all three angles are congruent.

Therefore, any equilateral triangle can be transformed into any other equilateral triangle through a combination of translations, rotations, and reflections, without changing the size or shape of the triangle.

Thus, all equilateral triangles are similar, with side lengths in a 1:1 ratio, since they have the same shape but may differ in size.

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Answer:

A(-2,1)》A1(-8, 4)

B(-3,3)》B1(-12,12)

C(-1,3)》C1(-4,12)

HOPE IT HELPS....

Answer: The median is 29

Step-by-step explanation:

I started by arranging the data points from smallest to largest to get 20, 25, 27, 29, 37, 38, 39. Then I found the middle number in the data set and got 29.

Answer:

Hello,

Answer 8a²c(a+3c) =8a³c+24a²c

Step-by-step explanation:

2a²+6ac=2a(a+3c)

4a²c+12ac²=4ac(a+3c)

H.C.F=2a(a+3c)*4ac=8a²c(a+3c)

Answer:

1st expression:2a×a+2×3×a×c

2nd expression:2×2×a×a+2×2×3×a×c×c

here,

2×a×a+2×3×a×c

2a^a+6ac