3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W.
Which pair of angles are vertical angles?

Using logarithmic properties, the solution to the given logarithmic equation is y = 7

From the question, we are to determine the solution to the given equation

The given equation is

[tex]log_{11}(y+8) + log_{11}(4) = log_{11}(60)[/tex]

Applying the product law of logarithms, we get

[tex]log_{11}(y+8) \times (4) = log_{11}(60)[/tex]

This gives

[tex]log_{11}(4y+32) = log_{11}(60)[/tex]

Applying the equality law of logarithm, we get

[tex]4y + 32 = 60[/tex]

[tex]4y = 60-32[/tex]

[tex]4y =28[/tex]

∴ y = 28/4

y = 7

Hence, the solution to the given logarithmic equation is y = 7

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Answer:

mean for data set 1 is 41

data set 1 MAD is 16.4

data set 2 MAD is 16.8

mean for data set 2 is 38

Step-by-step explanation:

Finding the mean:

formula: sum of the data set / total number of terms

sum of the data set: 18 + 29 + 35 + 58 + 65 = 205

total number of terms: there is 5 numbers in the data set

mean = 205 / 5

mean = 41

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

18, 29, 35, 58, 65

Distance between 18 and 41 is 23               (41 - 18 = 23)

Distance between 29 and 41 is 12               (41 - 29 = 12)

Distance between 35 and 41 is 6               (41 - 35 = 6)

Distance between 58 and 41 is -17             (41 - 58 = -17)

Distance between 65 and 41 is -24           (41 - 65 = -24)

step 3: take the absolute value of any negative numbers

|-17| and |-24| is 17 and 24

step 4: add all the distances

23 + 12 + 6 + 17 + 24 = 82

step 5: divided it by the number of data

82 / 5 = 16.4

formula: sum of the data set / total number of terms

sum of the data set: 19 + 26 + 27 + 45 + 73 = 190

total number of terms: there is 5 numbers in the data set

mean = 190 / 5

mean = 38

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

19, 26, 27, 45, 73

Distance between 19 and 38 is 19                (38 - 19 = 19)

Distance between 26 and 38 is 12              (38 - 26 = 12)

Distance between 27 and 38 is 11               (38 - 27 = 11)

Distance between 45 and 38 is -7             (38 - 45 = -7)

Distance between 73 and 38 is -35           (38 - 73 = -35)

step 3: take the absolute value of any negative numbers

|-7| and |-35| is 7 and 35

step 4: add all the distances

19 + 11 + 12 + 7 + 35 = 84

step 5: divided it by the number of data

84 / 5 = 16.8

Let me know if you have any questions !

Answer:

Y=-0.22X+6.33

Step-by-step explanation:

Y-yo=m(X-x0)

punto A=(-3,5)

punto B=(6,3)

ecuacion de la recta: Y-yo=m(X-x0)

m=Pendiente=[tex]\frac{5-3}{(-3-6)} =\frac{2}{-9}[/tex]

sea B(6,3)  xo=6  y yo=3

reemplazando:

Y-6=[tex]\frac{-2}{9}[/tex](X-3)

Y-6=-0.22X+0.33

Y=-0.22X+6.33

The factor pair of 36 whose sum is -20 are -2 and -18.

Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.

For example, 10 = 2 × 5

So we can say that 2 and 5 are factors of 10.

Let x and y be the two factors of the number 36.

Then we have,

x × y = 36

Write the factors of the number 36 as the product.

36 = 1 × 36, sum = 1 + 36 = 37

36 = -1 × -36, sum = -1 - 36 = -37

36 = 2 × 18, sum = 2 + 18 = 20

36 = -2 × -18, sum = -2 - 18 = -20

Hence the factor pair of 36 whose sum is -20 are -2 and -18.

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By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).

A dilation is a type of rigid transformation. Rigid transformations are transformations applied to geometric loci such that Euclidean distances are conserved.

There is a triangle and its image must be a triangle, the new triangle is found by transforming the three vertices of the prior one following this formula:

A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)]     (1)

Where:

If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:

Point A

A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]

A'(x, y) = (-12, 0)

Point B

B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]

B'(x, y) = (0, -9)

Point C

C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]

C'(x, y) = (-12, -9)

Lastly, we draw the two triangles, which are presented in the image attached below.

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Answer:

x > −61/24

Step-by-step explanation:

Answer:

3\2 is the marked

y cos x,=2

3\2=0.5

x=0.5*2=3.0

=3.0*2=6.0

Answer: Three

Step-by-step explanation:

I am going to assume the first value is 6xy² and not 6xy2

    6xy² − xy + 8 + 12y

   The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).

    The degree of the polynomial is the same as the degree of the highest term, so your answer is:

           three

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Answer:

answer is A

Step-by-step explanation:

The answer is A

The  length of the radius (r) to the nearest tenth is 13.2

The theorem states that the square of the longest side is equal to the sum of the square of other two sides.

In order to determine the radius of the circle, we will use the theorem above to have:

AO² = AB² +r²

Given

AB = 15

AO = 20

Substitute

20² = 15² +r²

r² = 400 - 225

r² = 175

r = 13.2

Hence the  length of the radius (r) to the nearest tenth is 13.2

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The expected count for the cell corresponding to the white car in the sampling will be 204.

From the information given, the certain car model comes in four different colors, and can either have automatic or manual transmission.

The expected count for the cell corresponding to the white car will be:

= 96 × 204/384

= 51

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Answer:

Step-by-step explanation:

The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]

Answer: 8/10

Step-by-step explanation: so you have to multiply 5 times x u till you get 10 so you’ll multiply it 2 times and since you multiplied the left 5 times two you have to multiply the 4 by 2 also to keep everything equal so the final answer is 8/10

Based on the function shown on the graph, we can find the domain to be C. x ≥ 0.

The domain refers to where all the values of x and y for the function fall within the graph.

As seen from the graph, there is no negative value of x and the lowest value of x is 0.

The domain for x is therefore:

x ≥ 0.

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As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.

The correct answer is option E. which is the product will be 13.86594.

Multiplication is the process of determining the product of two or more numbers in mathematics. Given numbers are 3.278 and 4.23.

The product of the two numbers will be calculated as:-

P = 3.278 x 4.23

P = 13.86594.

Therefore the correct answer is option E. which is the product will be 13.86594.

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Answer:b

Step-by-step explanation:

The probability of spinning green and rolling an even number will be 0.125.

The missing diagram is given below.

The percentage of favorable events to the total number of occurrences.

The probability of spinning green will be

Toial event = 4 {R, G, B, Y}

Favorable event = 1 {G}

P(G) = 1/4

The probability of an even number on dice will be

Toial event = 6 {1, 2, 3, 4, 5, 6}

Favorable event = 3 {2, 4, 6}

P(E) = 3/6

P(E) = 1/2

Then the probability of spinning green and rolling an even number will be

P = P(G) x P(E)

P = 1/4 x 1/2

P = 0.125

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Answer:

in asurvey of people 80%have crop farming 30%have animal farming and every farmer has at least one farming

Answer:

While most Americans enjoyed relative prosperity for most of the 1920s, the Great Depression for the American farmer really began after World War I. Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery.<3

Step-by-step explanation:

Answer:

more difficult

Step-by-step explanation:

Answer:

No, there are less than 90 people at the party.

Step-by-step explanation:

This is because the number of women cannot go above 48 as it says "Some women leave".

-> This means that the ratio 10:11 actually states that there are 40(or less) women and 44(or less) men in the party now which is less

than 90 overall, so the answer is No.

:)

Answer:

the answer is -3/4 c

Step-by-step explanation:

it's down 3 over 4

The fish, the fishing pole and the water surface are all in equivalent ratio, and the fish is 21 feet from the hook

To do this, we make use of the following equivalent ratio

3 : 12.6 = 5 : x

Where x represents the distance between the fish and the hook

Express the ratio as a fraction

12.6/3 = x/5

Multiply both sides by 5

x = 5 * 12.6/3

Evaluate

x = 21

Hence, the fish is 21 feet from the hook

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Answer:

50 inches

Step-by-step explanation:

48^2 + 14^2 = h^2

Answer is 50 inches if you solve...

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]3x + 18 = 11x - 6 [/tex]

[tex]24 = 8x[/tex]

[tex]x = 3[/tex]

Answer:

UV = 5

Step-by-step explanation:

Hello there!

Given such a problem, you have to consider where you are beginning, the middle and you end point. Here we have T (starting point), U ( middle- not necessarily center) and V (end point).

From our question, we have;

TV = 13 and TU = 8

To get UV, we subtract TU from TV as shown:

UV = TV - TU

= (13 - 8)

= 5

. ° . UV is 5

I hope this helps.

Have a nice studies.

Considerando la definición de potencia, en total hay 125 frascos.

La potencia es la manera de simplificar la multiplicación de un factor por sí mismo varias veces.

Las potencias están formadas por la base y por el exponente. La base es el número que se está multiplicando varias veces y el exponente es el número de veces que se multiplica la base.

Siendo "b" la base y "n" el exponente, la potencia se representa como [tex]b^{n}[/tex].

En una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel. Esto se puede representar mediante la potenciación como: 5³

Resolviendo se obtiene: 5³= 125

Finalmente, en total hay 125 frascos.

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Using it's concept, it is found that the probability of randomly selecting a tree or a flower is given by:

[tex]p = \frac{8}{15}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 30 cards, 8 + 8 = 16 are trees or flowers, hence the probability is given by:

[tex]p = \frac{16}{30} = \frac{8}{15}[/tex]

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Answer:

(0, 20); y= one over eighty x squared +20

Step-by-step explanation: