Mathematics College

PLEASE HELP!!!! I will award brainliest!! Look at the figure shown below. A student made the table shown below to prove that PQ is equal to RQ. 1. Provide the missing statement and justification in the proof. 2. Using complete sentences, explain why the proof would not work without the missing step.

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

Statement 8. triangle SQR is congruent to triangle TQP

Reason 8. ASA

The only way to prove those two sides are congruent is to first prove that the triangles that contain those sides are congruent. Then you can use CPCTC to prove those sides congruent.

Related Questions

A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 15% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.

Answers

Answer:

0.1198 < p < 0.1802

Step-by-step explanation:

Percentage who had, or intended to cheat (p) = 15% = 0.15.

1 - p = 1 - 0.15 = 0.85

Confidence interval = 95%, z = 1.96 = 2

number of observation= 560

p ± z * √(p * (1 -p)/n)

Lower limit:

0.15 - 2 * √0.15 * 0.85/560

0.15 - 0.0301780 = 0.119822

= 0.1198

Upper limit:

0.15 + 2 * √0.15 * 0.85/560

0.15 + 0.0301780 = 0.180178

= 0.1802

0.1198 < p < 0.1802

We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/f t, the cost of the bottom is $2/f t and the cost of the top is $7/f t. If we have 700 determine the dimensions of the field that will maximize the enclosed area.

Answers

Answer:

Dimensions are 350/9 ft and 17.5 ft

Step-by-step explanation:

We are given the cost per ft of all the 4 sides. Let the horizontal be x and the vertical be y.

Now, we will set up the constraint and equation that we are being asked to maximize.

Thus;

700 = 10y + 10y + 7x + 2x

700 = 20y + 9x

Maiking y the subject, we have;

y = (700 - 9x)/20

y = 35 - 9x/20

Now,area of a rectangle is: A = xy

Thus, A = x(35 - 9x/20))

A = 35x - 9x²/20

We can get the critical points by finding the derivatives and Equating to zero

Thus;

dA/dx = 35 - 0.9x

At dA/dx = 0,we have; x = 350/9

At d²A/dx², we have;

d²A/dx² = -0.9

This is negative, thus we will disregard and use the one gotten from the first derivative.

Thus, we will use x = 350/9 ft

Plugging this into the equation y = 35 - 9x/20, we have;

y = 35 - ((9 × 350/9)/20)

y = 17.5 ft

The dimensions of the field that will maximize the enclosed area are 350/9 ft and 17.5 ft and this can be determined by forming the linear equation.

Given :

We are going to fence in a rectangular field. The cost of the vertical sides is $10/ft, the cost of the bottom is $2/ft and the cost of the top is $7/ft.

Let 'x' be vertical, and 'y' be horizontal. So, the linear equation becomes:

700 = 10y + 10y + 7x + 2x

Simplify the above expression.

700 = 20y + 9x

Now, solve the above equation for 'y'.

[tex]\rm y = \dfrac{700-9x}{20}[/tex] --- (1)

Now, the formula of the area of the rectangle is:

A = xy

Now, substitute the value of 'y' in the above formula.

[tex]\rm A = x \times \dfrac{700-9x}{20}[/tex]

[tex]\rm A = 35x -\dfrac{9x^2}{20}[/tex]

Now, differentiate the above equation with respect to 'x' and then equate to 0.

[tex]\rm \dfrac{dA}{dx}=35-0.9x[/tex]

Now, equate the above equation to zero.

35 - 0.9x = 0

x = 350/9

Now, substitute the value of 'x' in equation (1).

[tex]\rm y = \dfrac{700-9\times \dfrac{350}{9}}{20}[/tex]

y = 17.5 ft

For more information, refer to the link given below:

https://brainly.com/question/1631786

A 4% error is made in measuring
the radius of a sphere. Find the
Percentage error in the surface
area.

Answers

Answer:

8.51%

Step-by-step explanation:

Let us assume the radius of the sphere is r. The surface area of a sphere is:

Surface area = 4πr².

There is a 4% error in the measurement of the radius, therefore the radius being measured = (100% - 4%)r = (96%)r = 0.96r

The surface area as a result of error is:

Surface area after measurement = 4π(0.96r)² = 3.6864πr²

The percentage error is the ratio of the difference between the actual and measured value to the measured value. It is given as:

[tex]Percent\ error =\frac{Actual\ area-Measured\ area}{Measured \ area}*100\%\\ \\Percent\ error =\frac{4\pi r^2-3.6864\pi r^2}{3.6864\pi r^2}*100\%\\ \\Percent\ error =\frac{0.3136\pi r^2}{3.6864\pi r^2}*100\%\\ \\Percent\ error =0.0851*100\%\\\\Percent\ error =8.51\%[/tex]

rw/6+y=f And I have to solve for y so I’m confused on how to isolate it.

Answers

Answer:

The answer is

[tex]y = \frac{rw - 6f}{f} [/tex]

Step-by-step explanation:

[tex] \frac{rw}{6 + y} = f[/tex]

Cross multiply

We have

f(6 + y) = rw

6f + fy = rw

Move 6f to the right side of the equation to make fy stand alone

That's

fy = rw - 6f

Divide both sides by f to isolate y

That's

[tex] \frac{fy}{f} = \frac{rw - 6f}{f} [/tex]

We have the final answer as

[tex]y = \frac{rw - 6f}{f} [/tex]

Hope this helps you

Find the recursive formula for this general term formula. [tex]t_{n} = n!/9^{-(n-1)}, n\geq 3[/tex]

Answers

Please give me a couple of minutes, I’ll answer in the comment section

Which number best represents the slope of the graphed line?

Answers

Answer: A

Explanation:

-5

Because the slope rise 5 and run to the left once.

If a slope run to right it means positive
If a slope run to left it means negative

Answer:

the answer is A.

Step-by-step explanation:

for every time you move over one in the x axis you move down 5 on the y axis

The following is a list of 5 measurements. 19,30,20,10,17 Suppose that these 5 measurements are respectively labeled.

Answers

Answer:

Step-by-step explanation:

Σ is a summation symbol. It means you need to add all values of x1 through x5.

19 + 13 + 20 + 10 + 17 = 79

Luke is 5 years younger than 3 times Sydney's age, s. In this situation, what does 3s represent?
0 Luke's age
O Sydney's age
o three times Luke's age
O three times Sydney's age

Answers

Answer:

Step-by-step explanation:

'3s' represents 'three times Sydney's age.'

Answer:

three times Sydney's age

Step-by-step explanation:

i took a test on this

Please Help With This Problem
Show Work

Answers

Answer:

$64,800

Step-by-step explanation:

First, we calculate the total she pays all three employees in 1 month.

$2300 + $1700 + $1400 = $5400

Since there are 12 months in 1 year, we multiply the total monthly wages by 12 to find the total yearly wages.

12 * $5400 = $64,800

Answer: $64,800

a kayak travels in a lake at an average speed of 35m/min. if the perimeter of a lake was 8400 m how many hours does it take for the kayak to travel around the whole lake

Answers

Answer:

I think Its 4hrs

Step-by-step explanation:

8400m÷ 35m = 240mins

240mins= 4hrs

Pre Calc Introduction to Derivatives-Using Limits Help!

Answers

Answer:

Attachment 1 : Option A,

Attachment 2 : Option D,

Attachment 3 : Option B,

Attachment 4 : Instantaneous rate of change will be 24

Step-by-step explanation:

"Remember that we can solve such questions by finding the derivative first"

1 : Let's consider this approach a bit differently. If we were to graph this function, we would see that the point (-2,26) would lie on the curve having a negative slope.

The rate of change would thus be negative, eliminating choices b and d. And, the slope of this function would be much greater than 4 due to the coefficient of " 5 " in f(x) = 5x² + 6. Hence our answer will be option a.

2 : f'(5) = - 2 * 5 + 4,

f'(5) = - 10 + 4 = - 6

Your solution is option d.

3 : f'(2) = 12 / 2 + 1 / - 3,

f'(2) = 12 / 3 / - 3 = 4 / - 3,

f'(2) = - 4 / 3

Your solution is option b.

4 : Here again we can apply the power rule, where using constant multiple rule and derivative of a constant, you can quickly find the derivative of g .

g'(t) = 3(2x¹) + 0 = 6t,

And now we can evaluate the derivative at that value of t.

g'(4) = 6(4) = 24 - hence the instantaneous rate of change at t = 4, will be 24

2. What is the sum of the three solutions (find the values for x, y, and z, then add the answers)?
2x + 3y − z = 5 x
− 3y + 2z = −6
3x + y − 4z = −8
please show steps

Answers

Answer:

x = 30/7 , y = 46/7 , z = 48/7

Step-by-step explanation:

Solve the following system:

{2 x + 3 y - z = 5 x | (equation 1)

2 z - 3 y = -6 | (equation 2)

3 x + y - 4 z = -8 | (equation 3)

Express the system in standard form: