Write 23/4 as a mixed number. give your answer in its simplest form.

The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)

In Mathematics, a Line Segment is a part of a line that has two endpoints.

The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.

Step 1

Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.

That is: RV/VS = RT/TQ.

Step 2 - replace the segments by the relevant equations

(X + 4)/(X- 3) = (X+10)/(X)

Step 3 - Cross Multiply

 x(x +4) = (x -3)(x +10)

Removing the parentheses, we have

 X² +4X = X² +7X -30; Subtract X² from both sides and we have;

4X = 7X - 30

-3X = -30 or

3X = 30

Divide both sides by three and we have:

X = 10

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Answer:

10 is the answer

Answer:

on the graph all u have to do is draw the line Have a great day and i hope this helps!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Find the number in the whole number place

5

and look one place to the right for the rounding digit on the right side of the decimal point

3

.Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

Answer:

8

Step-by-step explanation:

Re-write the equation:

h(x) = x² * 2 - x² -7x

If X is equal to -8, then we can re-write the equation as:
h(-8) = (-8)² * 2 - (-8)² - 7(-8)

Following P.E.M.D.A.S. we must first solve for the exponents:

h(-8) = (64) * 2 - (64) - 7(-8)

Then we need to solve the multiplication.

h(-8) = (128) - (64) - (-56)

Now, we solve for the addition/subraction.

h(-8) = (128) - (120)

Lastly...

128 - 120 = 8

This means that if h(-8), then H = 8

I think?

The instantaneous rate of change in the percent of households that used the internet for electronic banking in the year 2000 is; 6.8%

Formula for instantaneous rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

From the table showing the the percent of households that used the internet for electronic banking in the year 2000, we can find the instantaneous rate of change as;

f'(2000) = (f(2001) - f(1999)]/(2001 - 1999)

f'(2000) = (21.6 - 8)/(2001 - 1999)

f'(2000) = 13.6/2

f'(2000) = 6.8

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Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

For Lena, we have that d = 29, v = 36, hence the time in hours is given by:

[tex]t = \frac{d}{v} = \frac{29}{36} = 0.8056[/tex]

In minutes, the time is given by:

tM = 0.8056 x 60 = 48.

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Answer:

45%

Step-by-step explanation:

Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.

Answer:

45%

Step-by-step explanation:

27/60

No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

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Answer:not congruent.

Step-by-step explanation:

Answer:

3t-10

Step-by-step explanation:

g(h(t))=g(t-4)

=3(t-4)+2

=3t-12+2

=3t-10

Answer:

No solution or Undefine

Step-by-step explanation:

The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Part A:

Total number of students = 154

Total number of students passed the test = 49

The probability:

P(pass | Test A) = 49/154 = 31.81%

Part B:

Total number of students = 154

Total number of students passed the test = 46

The probability:

P(pass | Test B) = 46/154 = 29.87%

Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%.

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Answer:

87.5%

Step-by-step explanation:

add the number of students who took test A (49+7=56)

take the number of students who passed test A and divide it by the number of students who took the test A

49÷56=.875= 87.5%

Answer:

12.36

Step-by-step explanation:

the standard deviation is 12.36123 or 12.36 rounded.

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

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

In this problem, there are 15 bottles.

The probability of the three outcomes occurring is given by:

[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

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Answer:

Step-by-step explanation:

Perimeter

Area

[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The mean is 55 therefore, by definition:

On average the students are 55 inches tall.

The median is the middle ( or the average of 2 middle) value when the data is arranged in order.

So as the media is 46 inches about half are more than 46 ins tall.

Answer:

Step-by-step explanation:

Answer:

three four five

u welcome glam rock freddy

Answer:

5/8

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

since they're both feet no conversion is needed

multiply the model to scale (5) to find actual

6 * 5 = 30

your answer is 30 ft.

hope this helps:)

The cab rate model for Fwam will be given as y=2.8x+4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have an equation model for Lamonte y=2.2x+2.5 here y is the total cost and x is the distance in miles.

So here Fwam charges a $4 pick up fee and $2.80 per mile. The equation model will be:-

y=2.8x+4.

Hence cab rate model for Fwam will be given as y=2.8x+4.

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Answer:

2)   10.01 year

Step-by-step explanation:

1) already answered elsewhere in your posts

2)    9000 = 6500 e^(.0325 * t)          where t = years

      9000/6500 = e^(.0325*t)          take ln (natural log) of both sides

      .3254224 = .0325t

        t = 10.01      10.01 year

Answer:

Step-by-step explanation:

E= 10/11 f=-5/9 G=4/10 H=-8/12

Answer: Can you take a more clear picture

Step-by-step explanation:

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation: