What is the total surface area??

Answer:

x=16

Step-by-step explanation:

I apologize I have not done geo in a while so I am not sure what the theorem is, but there is a theorem that states that when a transversal intersects with two parallel lines, two angles that are facing the same direction are the same angle. (the two white angles that i have marked are equal)

next, two lines that intersect each other will have the same angle measurements on opposite sides (the green marked angles are equal)

so that means 3x - 8 = x + 24

and when you simplify that, you get 2x = 32 ---> x = 16

Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

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Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1

Based on the information given, the total number of Goals Scored in all 10 games combined is 11 goals.

It should be noted that in Mathematics, frequency simply has to do with the number of occurence that an event has based on the data or the information that's illustrated.

Based on the information given, it should be noted that the number of goals as well as the frequency are given. This will be illustrated we:

Total number of goals will be:

= (0 × 3) + (1 × 4) + (2 × 2) + (3 × 1)

= 0 + 4 + 4 + 3

= 11 goals

Therefore, 11 goals are scored.

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The unit price per ounce of the jar of jam is $0.50

From the question, the given parameters are

Volume = 5 oz

Cost of jam = $2.50

The unit rate of the jam is calculated as

Unit rate = Cost of jam/Volume

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 2.50/5

Evaluate the quotient

So, we have the following equation

Unit rate = 0.5

Hence, the unit price per ounce is $0.50

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Answer:

Step-by-step explanation:

By dividing and multiplyinh the decimal by 10, we will see that:

-0.6 = -6/10

Here we have the following decimal: -0.6

And we want to write it as a fraction.

To do so, we just need to multiply it and divide it by 10 as many times as digits we have after the decimal point. In this case we have only one digit after the decimal point, so we multiply and divide by 10 only once.

-0.6 = -0.6*(10/10) = (-0.6*10)/10 = -6/10

That is the fraction form of the given decimal.

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The simplified expression of (2^3×2^4) is 2^7

The expression is given as

(2^3×2^4)

The base of the above expression are the same

i.e. Base = 2

This means that we can apply the law of indices

When the law of indices is applied, we have the following equation:

(2^3×2^4) = 2^(3 + 4)

Evaluate the sum in the above equation

So, we have

(2^3×2^4) = 2^7

Hence, the simplified expression of the expression given as (2^3×2^4) is 2^7

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Answer:

Step-by-step explanation:

By using internal angles of the triangles and the definition of supplementary angles, the measure of the angle MNP is equal to 54°.

Herein we find a geometric system formed by two common semirrays with a common vertex at point N and a line segment MP such that triangle MPN is a right triangle. By Euclidean geometry we know that the sum of the measures in the internal angles equals 180°:

m ∠ NMP + m ∠ MNP + m ∠ MPN = 180°      (1)

And the two angles at point P are supplementary angles:

24 · x + m ∠ MPN = 180°      (2)

Then, by (1):

90° + 9 · x + m ∠ MPN = 180°

m ∠ MPN = 90° - 9 · x

By (1) in (2):

24 · x + 90° - 9 · x = 180°

15 · x = 90°

x = 6

Then, the measure of the angle MPN is equal to:

m ∠ MNP = 9 · x

m ∠ MNP = 9 · 6

m ∠ MNP = 54°

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The vertex and the axis of symmetry are (-2, -6) and x = -2, respectively

The equation of the function is given as

f(x) = x^2 + 4x - 2

The above equation is a quadratic equation

Next, we plot the equation on a graph (see attachment)

The vertex of the graph is the minimum or the maximum of the graph

In this case, we have

Minimum= (-2, -6)

This means that

Vertex = (-2, -6)

The axis of symmetry is the x-coordinates of the vertex

So, we have

x = -2

Hence, the vertex is (-2, -6) and the axis of symmetry is x = -2

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For this study, the mean of 16.7 minutes is an example of a (B) Statistic.

So, the appropriate choice is an option (B).

Therefore, for this study, the mean of 16.7 minutes is an example of a (B) Statistic.

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The correct question is given below:
A researcher is interested in the travel time of Utrecht University students to college. A group of 50 students is interviewed. Their mean travel time in 16.7 minutes. For this study, the mean of 16.7 minutes is an example of a(n)

A. Parameter

B. Statistic

C. Population

D. Sample.

The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².

It should be noted that the area of a circle is given the formula:

Area of a circle = πr²

where π = 22/7

r = radius = 5 1/4

Therefore, the area will be:

Area = πr²

Area = 22/7 × (5 1/4)²

Area = 22/7 × 25 1/16

Area = 86.625 feet²

The area is 86.625 feet².

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Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

If a costumer decides to pay in cash then saved £3.6.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A cash discount of 8% is allowed on an item which costs £45.

Now, The amount of Saved money calculated as;

Since, A cash discount of 8% is allowed on an item which costs £45.

Hence,

Saved money = 8% of £45

                      = 8 x 45 / 100

                      = 3.6

Thus, Saved money = 3.6

Therefore, If a costumer decides to pay in cash then saved £3.6.

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The area of the triangle for the given parameter is 12.4 squared cm.

How to calculate the area of the triangle?

In mathematics, the area of the triangle is classified into three forms isosceles, scalene and equilateral. Depending upon the sides of the triangle, it is classified. That means, when the two sides are equal then the triangle is isosceles triangle.

According to the question, the given parameters for the calculation of the area of the triangle is as written below:

Side of the triangle(a) = 5.2 cm. Angle of a triangle(B) = 67°.

Using standard formula for the area of the triangle, we get:

Area of the triangle = (1/2)(5.2)(5.2)sin(67°) = 12.4384 = 12.4 squared cm.

Hence, the area of the triangle for the given parameter is 12.4 squared cm.

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The mathematical expression is as follows.

1) 4(v +3)

2) 15v -7

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x 2 2xy + c.

Given Data

Suppose the number is v

1) To obtain: four times the product of v and 3.

Accordingly, we must first add v and 3, and then multiply the result by 4.

The mathematical expression is as follows.

= 4(v+3)

2) Assume that v is the given integer.

What we're aiming for is: 7 less than 15 times v.

This calls for multiplying the v by 15 and then taking 7 out of the result.

The expression in algebra would be as follows:

= 15v - 7

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Answer:

Step-by-step explanation:

1630089 is the answer

Answer:

1/16 squared meters

Step-by-step explanation:

The formula to find the area of a triangle is  [tex]\frac{Base * Height}{2}[/tex]

We can form an equation if we substitute the values (base and height).

[tex]\frac{1/2*1/4}{2}[/tex]

1/2 * 1/4 = 1/8

and [tex]\frac{1/8}{2}[/tex] = 1/16

Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.

Answer:

1) 14/15

2)23/25

3) 1.33%

Step-by-step explanation: