A rectangular sheet of paper $8\frac{1}{2}$ inches by 11 inches is folded and then taped so that one pair of opposite vertices coincide. What is the number of inches in the perimeter of the resulting pentagon

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

(5, -4)

(-13, 12)

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]

Therefore, let's substitute these values.

[tex]\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}[/tex]

Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.

Answer: Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

(x1 + x2)/2 , (y1 + y2)/2)

(5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

So the answer would be A)

(-4, 4)

Explanation:

let ( x,y) be the midpoint of the line segment, then x =  5+(-13) / 2 = -8/2 = -4 and y = -4+(12 ) / 2 = 8/2 = 4, the mid point is ( -4,4)

Answer:

que tembe frendeas tete.... thes i was 608 i deas fedas decde

step-by-step explanation:

jk i dont speak spanish

Answer:

y=3x-2

Step-by-step explanation:

Answer:

y =2x -3

Brainiest pls :)

Answer:

x=1,−17/18

Step-by-step explanation:

Answer: only one line

Step-by-step explanation:

Step-by-step explanation:

Angles APD, DPC and CPB are supplementary. (Angles on a straight line)

Therefore Angle APD + Angle DPC + Angle CPB = 180°.

Since Angle DPC = 90° (Right angle),

Angle APD + Angle CPB = 180° - 90° = 90°.

=> (7x + 1) + (9x - 7) = 90

=> 16x - 6 = 90

=> x = 6

Hence arc measure of minor arc AD

= (7x + 1)° = [7(6) + 1]° = 43°.

Answer:

Answer:

39.995=40.00

Step-by-step explanation:

0.095 is tax he just added 9.5 he is not correct

Answer: a = 45°

Step-by-step explanation:

The measure of∠PSR is given: 90°

Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.  

The total of all angles in a triangle is 180. So subtract 90, then divide by 2.

180-90 = 90

90/2 = 45

a = 45°

If "b" is supposed to be the measure of ∠SRQ, that is 15°  The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15

umm I'm not sure use a cheating app I geust

Answer:

1038

Step-by-step explanation:

you add 308 and 730

Answer:

j ≥ -37

Step-by-step explanation:

j + 16 ≥ -21

move constant to the right hand side and change its sign

j ≥ -21 - 16

calculate the difference (subtract)

j ≥ -37

The graph would be a closed circle on -37 with an arrow pointing to the right.

To solve and describe the graph.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.

Given that:

The inequality is

j + 16 ≥ -21

Move constant to the right hand side and change its sign

j ≥ -21 - 16

calculate the difference (subtract) the constant term

j ≥ -37

So, the graph would be a closed circle on -37 with an arrow pointing to the right.

Learn more about inequality here:

https://brainly.com/question/19846294

#SPJ5

Answer:

Step-by-step explanation:

3100 ft per 50,000 years

31 ft per 500 years (Divided 100)

Convert ft to inches

372 in per 500 years

0.744 inches per year (Divided by 500)

Answer:

he will be 17 in

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

multiply 25 by .04

                                             Question 27

The graph on question 27 indicates that there are three points with the locations such as:

In other words, there are three points that lie on the graph with the x-values such as:

{(2, 6), (4, 12), (6, 18)}

We know that the domain includes the set of x-values.

Hence, the domain of the function is:

Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

                                        Question 28

The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

As the line segment is a continuous line. Thus, the domain is continuous.

Answer:

19.79+x >= 25

x>=5.21

Step-by-step explanation:

Answer:

Washing Cars: $33

Clearing Tables: $91

Step-by-step explanation: Multiply 11 by 3, and multiply 13 by 7. I hope I helped!

Step-by-step explanation:

for every 1 hour she works she gets 11 dollars washing the cars, so you multiply the number of hours by the amount of money she gets each hour. Like so,

11 x 3 = 33, so 33 dollars from washing cars

next - 13 x 7 = 91 dollars from house cleaning

add together the amount of each so, 33 + 91 = 124, 124 is the answer.

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

Answer:

60 hope this helps!

Step-by-step explanation:

45-(-15) = 60

Answer:

Well person, it's 60 feet.

Step-by-step explanation:

Because it is simple math. You just add 45 and 15 then BOOM! ANSWER

Answer:

x> -10

Step-by-step explanation:

in order to find what the value of X is you have to multiply the 5 of the denominator into the -6 which would make -30.

You would then divide by 3 in order to get x by itself and would get -30÷3= -10

therefore the answer should be greater than -10

Hope this helped :)

Answer:

x > -10

Step-by-step explanation:

[tex]\frac{3x}{5} > -6[/tex]

Multiply both sides by 5/3

[tex]\frac{5}{3} * \frac{3x}{5} > \frac{5}{3} *(-6)[/tex]

Reduce Everything

[tex]x > -5*2[/tex]

Multiply

x > -10

Answer:

Binomial

Step-by-step explanation:

This is because it has two terms

Answer:

If your asking its place value its Thousandths

Step-by-step explanation:

.1 is tenths

.01 is hundredths

.001 is thousandths

Answer: =−1 7/20

(Decimal: -1.35)

Step-by-step explanation: Hope this helped, Happy new years!

Answer:

12.58

Step-by-step explanation:

the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58

Ok we can see that [tex]2z^4[/tex] contains the variable with the highest exponent, 4, so the degree is 4.

Answer:

C is the answer ,got it right on EDG 2020

Step-by-step explanation:

Answer:

c

Step-by-step explanation: