Select the correct answer. In the given diagram, . Prove: The transversal line intersects two parallel lines m and n with values of corresponding angles are congruent pairs of corresponding angles are (1, 5), (4, 8), (3, 7), and (2, 6) Statements Reasons 1. given 2. alternate exterior angle theorem 3. ? vertical angles theorem 4. transitive property of congruence Which statement is missing in the proof? A. B. C. D.

Answers

Answer 1

Based on the given diagram (see attachment), the statement which is missing in the proof is: D. m∠7 ≅ m∠5.

What are parallel lines?

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The condition for two parallel lines.

In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

From the given diagram (see attachment), we can logically deduce that line m is parallel to line n (m || n) and a transversal line intersects both of them.

Based on these reasons, we can prove the following statements:

m || n (given)m∠1 ≅ m∠7 (alternate exterior angle theorem).m∠7 ≅ m∠5 (vertical angles theorem).m∠1 ≅ m∠7 (transitive property of congruence).

In conclusion, we can logically deduce that the statement which is missing in the proof is m∠7 ≅ m∠5.

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Select The Correct Answer. In The Given Diagram, . Prove: The Transversal Line Intersects Two Parallel
Answer 2

Answer:

here you go

Step-by-step explanation:

Select The Correct Answer. In The Given Diagram, . Prove: The Transversal Line Intersects Two Parallel

Related Questions

WILL GIVE BRAINLIEST

(04.01, 04.02 HC)

Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points)

Part B: How much time does Jackie spend running every day? Show your work. (3 points)

Part C: Is it possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs? Explain your reasoning. (2 points)

Answers

A. The pair of linear equations are: x + y = 55 and y = x + 25

B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

How to Write a System of Linear Equations?

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

Part A: To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

x + y = 55 --> equation 1

x + x + 25 = 55

2x + 25 = 55

2x = 55 - 25

2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

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Although all of the following systems can be solved via the substitution method, substitution would be the best method for solving which system.
Group of answer choices

Answers

Using the substitution method, the system of equation that is easily solved is:

c. y = 2x + 3

2x + y = 5

How to Solve A System of Equations Using the Substitution Method?

Using the substitution method to solve a system of equations is best when one of the equations have one isolated variable that we can simply plug its value into the second equation.

For example, given the system of equations:

y = 2x + 3 --> eqn. 1

2x + y = 5 --> eqn. 2

Substitute y = (2x + 3) into eqn. 2 and find x:

2x + y = 5 --> eqn. 2

2x + 2x + 3 = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2/4

x = 1/2

Substitute x = 1/2 into eqn. 1 to find y

y = 2x + 3 --> eqn. 1

y = 2(1/2) + 3

y = 1 + 3

y = 4

From the above, we can see that the system of equations that is quite easy to solve using the substitution method is:

c. y = 2x + 3

2x + y = 5

The rest of the equations are quite different and not as straightforward as solving as this using the substitution method.

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Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs 36 20 56 Prefers cats 10 26 36 No preference 2 6 8 TOTAL 48 52 100 Of females in the sample, what fraction prefer cats? Choose 1 answer: 26 52 36 100 26 36 26 100

Answers

Based on the data presented, it can be concluded out of the 52 females 26 prefer cats.

How to read the graph?

To read the graph we must take into account that the rows refer to the preference of men, preference of women and those who have no preference.

On the other hand, the columns refer to the number of students of both genders who prefer or do not prefer each animal. Additionally, adding all the students of each gender we have the total of the sample.

According to the above, the total sample of female students would be 52.

20 + 26 + 6 = 52

According to the above, the fraction that expresses this relationship correctly is:

[tex]\frac{26}{52}[/tex]

Note: This question is incomplete because the graph is missing. Here is  the graph.

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Suppose you average 82 on your first 7 test. What must you score on the eighth test to raise your average to 84?

Answers

so hmmm on average on the last 7 test, you get 82, so hmmm we could say that on each of the 7 tests you got 82, so you got 82, 7 times.

now, let's say in the 8th test, you get a grade of "g", now, if we were to get an average of all 8 tests, that means the average will simply be (82*7) + "g", and we know that's 84, so

[tex]\cfrac{(\stackrel{\textit{sum of all first seven tests}}{82+82+82+82+82+82+82})~~ + ~~g}{8}~~ = ~~84\implies \cfrac{(82\cdot 7)~~ + ~~g}{8}~~ = ~~84 \\\\\\ \cfrac{574+g}{8}=84\implies 574+g=672\implies g=672-574\implies g=98[/tex]

You must score 98 on the eighth test to raise your average to 84.

Average = Sum of all scores / Number of scores

The average score is given as 82, so the sum of the first 7 test scores would be 82 multiplied by 7.

The average to 84, we need to find the sum of all 8 test scores. Let's represent the score we need on the eighth test as "x."

Average = Sum of all scores / Number of scores

Using this equation, we can write:

84 = (Sum of the first 7 test scores + x) / 8

Multiply both sides of the equation by 8:

8 * 84 = Sum of the first 7 test scores + x

672 = Sum of the first 7 test scores + x

Subtract:

672 - Sum of the first 7 test scores = x

Substitute the sum of the first 7 test scores (82 * 7) into the equation:

x = 672 - (82 * 7)

x = 672 - 574

x = 98

Therefore, you must score 98 on the eighth test to raise your average to 84.

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Please help 3.7Q3. Please type the answer in order.

Answers

Step-by-step explanation:

since the y- axis stands for velocity (and the x-axus for time), speeding up means when the curve goes up (increasing velocity), and slowing down means when the curve goes down (decreasing velocity), all when reading the graph from left to right (small time values to larger time values).

(a)

speeding up

t in [0, 1)

or

0 <= t < 1

I would exclude t = 1, because at that point the slope is 0, there is no speeding up there.

slowing down

t in (1, 3)

or

1 < t < 3

the same argumentation for excluding 1 and 3, because there the slope of the curve turns 0 (just the turning point from one tendency to the other), and there is no speeding up or slowing down at these points.

(b)

speeding up

t in (1. 2)

or

1 < t < 2

slowing down

t in [0, 1) or in (2, infinity)

or

0 <= t < 1 || 2< t < infinity

we could use 3 instead of infinity, as this seems to be the last point of the drawn curve, but normally this kind of drawing tells me "infinity".

pleaseeeee help me with this algebra question! select the solutions for the quadratic equation!

Answers

Answer:

I dont know if this is right but i got -7/3.

Sorry if its wrong

find the value of x,y in the given figure with reasons.​

Answers

Answer:

answer

x= 40°

Step-by-step explanation:

x= 40° [ base angle of isocles triangle]

HELP!!! A,B,or C
Eric was rock climbing. At one point, he stopped and climbed straight down 2 1/2 meters. Then he climbed straight up 6 3/4 meters.Eric was wondering what his change in elevation was after these two moves.

Answers

The answer is B
Let’s think of his current location as 0
Since he climbed down 2 1/2 meters, u would think of it as 0 - 2 1/2 which equals - 2 1/2
Now his current location is - 2 1/2
Then he goes up 6 3/4 so to get his new location, we would simply add 6 3/4 to -2 1/2
So the answer would be -2 1/2 + 6 3/4 which would be B! Hope this helps!!

A bicycle rental is 15 plus 9.50 per hour. An electric scooter rental is 25 plus 7 per hour. How many hours would you need to rent the bike for the price to be equal to the scooter for the same amount of time? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

4 hours

Step-by-step explanation:

Hour1-

Bicycle = 24.50

ElectricScooter = 32

Hour2-

Bicycle = 34

ElectricScooter = 39

Hour3-

Bicycle = 43.5

ElectricScooter = 46

Hour4 -

Bicycle = 53

ElectricScooter = 53

Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250

Answers

Answer:

no mode

Step-by-step explanation:

no number appears more than once

therefore there is no mode

Ramiro was on a 2-day road trip. On the first day he drive at an average speed 40 mph. On the second day he drove at an average speed of 60 mph. If he drove 2 hours. If he drove 2 hours longer and went 20 miles farther on the first day, find the total distance Ramiro traveled on his first road trip

Answers

X = first day hours
Y = second day hours

x = y + 2
40x = 60y + 20

40(y + 2) = 60y + 20
40y + 80 = 60y + 20
60 = 20y
y = 3 hours on day 2

x = y + 2
x = 3 + 2
x = 5 hours on day 1

Miles = 40(5) + 60(3)
200 + 180
380 miles

The total distance Ramiro travelled is 380 miles.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

let x be the first day hours

let y be the second day hours.

now,

x = y + 2

40x = 60y + 20

Putting x= y+2

40(y + 2) = 60y + 20

40y + 80 = 60y + 20

60 = 20y

y = 3 hours

For, first day

x = y + 2

x = 3 + 2

x = 5 hours

Thus,

Total distance = 40(5) + 60(3)

=200 + 180

=380 miles

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Show Work Please Thank You

Answers

Answer:

[tex] \frac{\pi}{4} [/tex]

Step-by-step explanation:

[tex] \sf let \: y = { \tan }^{ - 1} ( \tan \frac{3\pi}{4} ) \\ \\ \sf \hookrightarrow \tan y = \tan \frac{3\pi}{4} \\ \\ \sf \hookrightarrow \tan y = \tan(\pi - \frac{\pi}{4} ) \\ \\ \sf \hookrightarrow \tan y = \tan( - \frac{\pi}{4} ) \\ \\ \sf \hookrightarrow \tan y = - \tan \frac{\pi}{4} \\ \\ \boxed {\hookrightarrow{ \bold{y = - \frac{\pi}{4} } } }[/tex]

e) 1 cubic centimetres = 1÷1000000 cubic meter. Rewrite in scientific notation​

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{1000000} \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{10 {}^{6} } \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = {}{10 {}^{ - 6} } \: \: m {}^{3} [/tex]

find the critical value for the given confidence level c and sample size n c=.90 n=21

Answers

The critical value for the given confidence level, c = 0.90 and n = 21 is [tex]t_c=1.725[/tex].

How to calculate the critical value for t-distribution?

The critical value is calculated as follows:

For the given sample size n, find the degree of freedom (d.f)Where d.f = n - 1Using the t-distribution table, the critical value is obtained for the obtained d.f and the confidence level.

Calculation:

It is given that,

confidence level c = 0.90

sample size n = 21

Then,

degree of freedom,

(d.f) = n - 1 = 21 - 1 = 20

So, from the t-distribution table,

at d.f = 20 and the confidence level 0.90, the critical value is 1.725.

I.e., [tex]t_c[/tex] = 1.725

For this, α = (1 - 0.90)/2 = 0.05

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The graph shows the side view of a water slide

Answers

Step-by-step explanation: Given that the graph shows the side view of a water slide with dimensions in feet.

We are to find the rate of change between the points (0, ?) and (?, 40).

From the graph, we note that

the y co-ordinate for the x co-ordinate 0 is 80 and the x co-ordinate for the y co-ordinate 40 is 5.

So, the given two points are (0, 80) and (5, 40).

The rate of change for a function f(x) between the points (a, b) and (c, d) is given by

Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is

Thus, the required rate of change is -8.

how many cubic meters in 179.66 cubic centimeters​

Answers

Answer:

0.00018

Step-by-step explanation:

formula:Divide the volume by 1e+6

Can someone please help me with this ty

Answers

Answer:

92 degrees

Step-by-step explanation:

The sum of the exterior angles will be 360.  

67 x 4 = 268.  That means that the last angles must be 92 (360 - 268)

If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log 1/2 x

Answers

The solution to the given expression is x = -20/11


What are logarithmic functions?

Logarithmic function are inverse of exponential functions. Given the equation below;

log (6 x + 10) = log 1/2 x

In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have

6x + 10 = 1/2x

Collect the like terms

6x - 1/2x = 0 - 10

Find the LCD

12x-x/2 = -10
11x/2 = -10

Cross multiply

11x = -2 * 10

11x = -20

Divide both sides by 11

11x/11 = -20/11

x = -20/11

Hence the solution to the given expression is x = -20/11

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Graph the function y=√x+1-4. Which point lies on the graph?
a.) (-2,3)
b.) (1,4)
c.) (-1,-4)
d.) (0,4)

Answers

The answer is C (-1,-4)
I got the answer by graphing the equation and plotting each the points down to see which one lies on the graph

Solve for x. PLEASE HELP ASAP

Answers

Answer:

x = 6

Step-by-step explanation:

the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is

∠ UVW = [tex]\frac{1}{2}[/tex] (UW - WU ) , then

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) ) ← multiply both sides by 2

10x + 34 = 37x + 5 - 23x + 5

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately
σ
=
24.4
. We would like to be 99.5% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?

n
=

Answers

Using the z-distribution, it is found that a sample size of n = 18,805 is required.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

For this problem, the parameters are:

[tex]z = 2.81, \sigma = 24.4, M = 0.5[/tex].

Hence we solve for n to find the needed sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 2.81\frac{24.4}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 24.4 \times 2.81[/tex]

[tex]\sqrt{n} = 48.8 \times 2.81[/tex]

[tex](\sqrt{n})^2 = (48.8 \times 2.81)^2[/tex]

n = 18,805.

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Answer:

Step-by-step explanation:

What if the estimate is within 1 of the population mean?

Name a pair of opposite rays on plane L.

Answers

Answer:

GC and GD

Step-by-step explanation:

The only points on plane L are: J, C, G, D

GC and GD

Please help thank you asap

Answers

please rotate picture

Answer:

[tex]y=-2x+1[/tex]

Step-by-step explanation:

Looking at the line can ensure that the slope is negative

The rise/run is 4/-2, ten the slope is:

[tex]s=\frac{-4}{2} =-2[/tex]

b intercept is 1

The equation:

[tex]y=-2x+1[/tex]

Hope this helps

Scenario 2
You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount.

Answers

The best approach to calculating the stipulated 20% tip by means of fractions is to note that the tip is one-fifth of the total amount charged on the bill.

What is the equivalent of the 20% tip as indicated in the task content?

The percentage represented as; 20% can be expressed as a fraction.

This follows from the fact that the percentage, % symbol translates to divided by 100.

Consequently, we must note that the 20% translates to; 20/100 = 1/5.

Hence, the 20% tip is one-fifth of the total amount.

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If there are 12 donuts per box, which of the following equations will give you the number of boxes, x, that Joe needs to buy?

Answers

The equation that would give the number of boxes, x, that Joe needs to buy is 12x = 60. The correct option is c.) 12x = 60

Writing an equation

From the question, we are to determine the equation that will give the number of boxes, x, that Joe needs to buy

From the given information,

Joe needs 60 donuts to feed his construction crew

Also,

There are 12 donuts per box

This means he needs to buy 60/12 boxes of donut

Since the number of boxes Joe needs to buy is x

∴ 60/12 = x

60 = 12x

12x = 60

Hence, the equation that would give the number of boxes, x, that Joe needs to buy is 12x = 60. The correct option is c.) 12x = 60

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what the milk and and butter ​

Answers

Answer:

1/4 cups of milk and 1 1/3 Tbsp of butter.

Step-by-step explanation:

Milk : 3/4 multiplied by 1/3 = 3/12 = 1/4
Butter : 4 multiplied by 1/3 = 4/3 = 1 1/3

Hey guys I need some help with #7 so if anyone could help that would be great THANK YOU!!

Answers

The average rate of change obtained from the ratio of change in y to the change in x is 27

The average rate of change can be obtained using the relation :

Rate of change = (y2 - y1) ÷ (x2 - x1)

at; x1 = -3

y1 can be calculated from the function ;

y1= 3(-3³)-1

y1=-82

At ; x2 = 3

y2 can be calculated from the function ;

y2 = 3(3³)-1

y2=80

The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)

[80-(-82)]/[3-(-6])

162/6

27

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En la siguiente sucesión numérica 8,7,11,10,14 los dos números siguientes son

Answers

Numerical sequences

To find the missing numbers in the sequence, we must identify the rule by which they change.

The sequence starts at 8 and then decreases by 1, therefore, the second term is 7. The third term increases by 4 units with respect to the second, going from 7 to 11, and the fourth decreases again by 1, now remaining at 10.

The fifth term increases again by 4 units, from 10 to 14. This already gives us a clear idea of the rule that the sequence follows.

Decrease 1, increase 4, decrease 1, increase 4,…

                                                  ₊₄              ₊₄

                         8 , 7, 11, 10, 14,...,

                                            ⁻¹             ⁻¹               ⁻¹  

In this way, the sixth element must decrease by 1, that is 13 and the seventh must increase by 4, that is 17.

8, 7, 11, 10, 14, 13, 17,…

The next numbers that the numerical sequence are 13 and 17, to complete. ✅

Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6. Replace “a number” with the variable, n. The two operations are multiplication and addition. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6). The expression is written as 2 × 6 – n.

Answers

The statements that apply to the algebraic expression are

Replace “a number” with the variable, n. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6)How to determine the algebraic expression?

The complete question is added as an attachment

The statement is given as:

Twice the difference of a number and six

Represent the number with n.

So, the statement becomes

Twice the difference of a n and six

Twice means 2 *

So, we have

2 * difference of a n and six

Express difference as minus i.e. -

So, we have

2 * (n - 6)

Hence, the expression is written as 2(n - 6)

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What is the range of the exponential function f(x) = 2*+25? Check all that
apply.
A. (2,+00)
B. (25,+00)
C. f(x) 22
D. f(x) > 25

Answers

C AND B If not B it was A
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