Given: m || n and p is a transversal
Prove: mAngle2 = mAngle7

Horizontal and parallel lines m and n are cut by transversal p. On line m where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line n where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
What is the missing reason in the proof?

Statement Reason
1. m || n and p is a transversal 1. given
2. ∠2 ≅ ∠3 2. ver. ∠s theorem
3. m∠2 = m∠3 3. def. of congruent
4. ∠3 ≅ ∠7 4. corr. ∠s theorem
5. m∠3 = m∠7 5. def. of congruent
6. m∠2 = m∠7 6. ?
corresponding angles theorem
alternate interior angles theorem
transitive property
subtraction property

Answer: B

Step-by-step explanation:

Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.

So looking at he picture we can see that, (x+16) + (6x-4) = 180.

So your answer is B.

Answer:

Hey There!! The answer to this is B: angle P + angle R = 180

angle O + angle Q = 180

Here, they are only interested in R, therefore the first equation will be enough to solve for R.

angle P + angle R = 180

y + (3y + 8) = 180

We need to solve for y, so put that y value in (3y + 8) to find angle R.

y + (3y + 8) = 180

y + 3y + 8 = 180

We add the y terms: 4y + 8 = 180

Subtract 8 from both sides: 4y = 180-8 = 172

Divide both sides by 4

y = 172/4 = 43

Angle R = 3y + 8

Put y = 43 and calculate R.

R = 3(43) + 8

R = 137

Therefore, the measure of angle R is B:

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

6/7

Step-by-step explanation:

First, find two points that fall on the line and are coordinates on the graph.

The two points I found were (3,5) and (10,11).

Use the slope formula to come up with the slope.

[tex]slope = \frac{change in y}{change in x}[/tex]  

slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1

Answer:

8.48

Step-by-step explanation:

After removing the perfect square inside √72 we get,

6√2

The given square root is,

√72

Since we know that,

A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.

Simplify the square root of 72.

Factor 72 into 36 and 2,

Giving us the square root of 36 times the square root of 2.

Therefore,

√72 = √36 x √2

We know that the square root of 36 is 6,

So we can substitute that in:

√72 = 6 x √2

Hence after removing the perfect square inside √72 we get,

6√2.

To learn more about square root visit:

https://brainly.com/question/29286039

#SPJ2

Answer:

5 is the answer

............

Answer:

5

Step-by-step explanation:

What number multiplied by itself gives you 25

5*5 = 25

sqrt(25) = 5

Answer:

B. 13.7 cm^2

Step-by-step explanation:

To find the height of any parallelogram, you must multiply the base x height.

The base is 1.9 cm. The height is 7.2 cm.

A = bh

A = (1.9)(7.2)

A = 13.68

13.7 is the closest answer we can get if we can round, but it really should be 13.68 cm^2.

Answer:

B. 13.7

Step-by-step explanation:

A = bh

A = 1.9*7.2

A = 13.68

(13.68 rounds up to 13.7)

Answer:

80

Step-by-step explanation:

0,   3,   8,   15,   24,  35,   48,   63,  80 which is the nth term

first step you have to find how many steps the sequence was going with.

examples= from 0 to 3 the steps were 3

                =from 3 to 8 the steps were 5

                = from 8 to 15 the steps were 7

you will recognize that the steps the sequence is going with is odd numbers.

so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.

Answer:

80

Step-by-step explanation:

Answer:

1. boxes filled=  860/ 6

=143.3

= 143 boxes will be filled.

2. leftover eggs = 2

Step-by-step explanation:

Answer:

1. 143 2. 3

Step-by-step explanation:

860 divided by 6 is 143.3, so the .3 will be 3 leftover eggs

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

Answer:

H, 40%

Step-by-step explanation:

We can start out simple by finding out the number of cars in each category.

30 remote-controlled cars

90 non remote-controlled cars.

20% of the remote controlled cars are yellow, meaning that there are 6 yellow remote controlled cars.

Since 50% of the total cars are yellow, there are 60 yellow cars. Subtracting this from the yellow remote controlled cars, there are 54 yellow non remote contolled cars.

What this means is that 54/90 of the non-remote cars are yellow, and 36/90 of the non-remote cars are yellow. 36/90 is just 2/5, which means that our answer is H, 40%.

Answer:

a ( 567 miles to unit)

b( looks like 2 units so i would say 1134 miles

Answ: the scale is

Step-bstep explanatio

Answer:

[tex]\sqrt[5]{y^3}[/tex]

Step-by-step explanation:

[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]

Answer:

y = 10x + 20

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (20 - 10)/(0 - -1)

m = 10/(0 + 1)

m = 10/1

m = 10

y = 10x + b

Step 2: Find y-intercept

(0, 20) is y-int from graph

Step 3: Plug into form

y = 10x + 20

Answer:

4

Step-by-step explanation:

factoring , using square roots , completing the square and the quadratic formular

Answer:

See below.

Step-by-step explanation:

The four main ways to solve a quadratic equation are:

1) Factoring, 2) Completing the Square, 3) Graphing, and 4) Quadratic Formula.

Each method has it's own pros and cons.

1) Factoring. You should factor when the given equation is easily factor-able or already factored. For instance:

[tex]0=x^2-4x-12\\0=(x+7)(x-1)[/tex]

These problems are easily factored so factoring is preferred here. However, factoring will not always work.

2) Completing the Square. You complete the square if you are able to complete the perfect square trinomial with only integers. For instance:

[tex]x^2-2x-7=0\\(x^2-2x+1)-7-1=0\\(x-2)^2-8=0[/tex]

However, you wound't use completing the square if:

[tex]x^2-3x+2=0\\(x^2-3x+9/4)+2-9/4=0[/tex]

The perfect square trinomial includes fractions so you would use alternative methods here (and factoring works here!).

Despite the complexity of completing the square, if done correctly, it works every time. However, sometimes, it can be time-consuming.

3) Graphing. Graphing (if on paper) is time-consuming. You would only use graphing when you only need an approximation. Unless directed to, you probably won't need to use graphing.

However, if you have a graphing calculator, graphing the equation can allow you to check your answer. So, graphing won't get you precise answer, but it will allow you to check your answer is necessary.

4) Quadratic Formula. Use the quadratic formula if the equation isn't factor-able and completing the square is too tedious. For instance:

[tex]4.1x^2-3x-7=0\\[/tex]

This doesn't seem factor-able and completing the square will take a while. Graphing won't get the exact answer, so the quadratic formula is the only avenue left.

The quadratic method, like completing the square, will always work.

Only con is that you need to memorize the formula.

Answer:

3 hours

Step-by-step explanation:

Speed is the ratio of distance traveled to time taken, it is given as:

Speed = distance / time

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.

Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.

For car:

Speed = distance / time

35 = distance ([tex]d_1[/tex]) / t

[tex]d_1=35t[/tex]

For helicopter:

Speed = distance / time

78 = distance ([tex]d_2[/tex]) / t

[tex]d_2=78t[/tex]

The total distance traveled = 169.5 miles

[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]

The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours

Answer:

Linear function

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

80 x 4 = 320

You are told 2/9 = 16

Let total number of batteries = x

So you now have 2/9x = 16

To find x divide both sides by 2/9

X = 72 total batteries

Awnser

72

i dunno how to explain i did it in my head

Answer:

[tex]Average\ Rate = 10[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -x^2[/tex]

[tex](-8,-2)[/tex]

Required

Determine the average rate of change;

Average rate of change is calculated as thus;

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex](a,b) = (-8,-2)[/tex]

i.e. a = -8 and b = -2

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex] becomes

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 - (-8)}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 + 8}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

Calculating g(-2)

Substitute -2 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-2) = -(-2)^2[/tex]

[tex]g(-2) = -4[/tex]

Calculating g(-8)

Substitute -8 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-8) = -(-8)^2[/tex]

[tex]g(-8) = -64[/tex]

Substitute values for g(-2) and g(-8)

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 - (-64)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 + 64}{6}[/tex]

[tex]Average\ Rate = \frac{60}{6}[/tex]

[tex]Average\ Rate = 10[/tex]

Hence, the average rate of change is 10

Answer:

19

Step-by-step explanation:

JH = 47 (70 - 23)

HM = 23

MK = 19 (42 - 23)

KU = 34 (81 - 47)

UC = 7 (47 - 40)

CN = 40

Answer:

19

Step-by-step explanation:

HM + MK = HK

23 + MK = 42

Subtract 23

MK = 42-23

MK =19

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

Answer:

see the picture below

Step-by-step explanation:

There is 19, 13, 8, 4, 7, 14, 7, 9.

There is 1 number between 0 and 5.

and there's 4 on between 6 to 10.

and so far.

Step-by-step explanation:

Taller bars show that more data falls in that range.

19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8

Add 2 more months to make 8 months

Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars.  |--------------| stacked on top of each other.

Or///

Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.

*the table being referred to is attached below

Answer:

The table does not show a proportional relationship between variable g and h.

Step-by-step explanation:

For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.

Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.

Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]

Answer:

the answer is c. One real number solution

Step-by-step explanation:

Hey There!!

I think the best answer will be is (D) 2.

Because, The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions. Im not a 100% sure this right... Hope This helps!! By ~♡Itsbrazts~♡

the above photos is the solution

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Hi, there!!!

It's so simple,

so, let's simply work with it;

Here, the given equation is;

4d-4 = 5d-8

so, let's take "4d" to right side and -8 to left side. we get,

-4+8 = 5d-4d

or, 4 = d

Therefore, the value of d is 4.

{here, we simply simplified to get answer}

YOU ARE ABSOLUTELY RIGHT...

Hope it helps....

Answer: -7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The mode is the number that appear most often

The number with the most dots is 2

The mode is 2

The mode in any data set is the number that gets represented the most.

As you can see on the plot, the number that gets represented the most is 2.

Best of Luck!

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)