What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?

Answer:

x = 135     y = 45

Step-by-step explanation:

The sum of the measure of interior angles can be found by equation  

(n - 2) x 180            n is the number of sides

(8 - 2)180 = 1080

Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.

1080 / 8 = 135

x = 135 degrees

We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.

360 - 2(135) = 90

The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.

90 / 2 = 45

y = 45 degrees.

135  45 Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The slope formula is change in y over change in x, in this case it's  [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]

Answer:

go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6

Step-by-step explanation:

Answer:

eqn : 9 x 9 x h = 1620

h = 1620 / 81 = 20

Step-by-step explanation:

Answer:

11.5214512633

Step-by-step explanation:

Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.

CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2

CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775

EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017

DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562

add them all up 11.5214512633

Answer:

2

Step-by-step explanation:

sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16

sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8

thus 16/8 is 2

Answer:

Coordinates of M = [tex]\left ( -2,4 \right )[/tex]

Step-by-step explanation:

Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)

To find: coordinates of M

Solution:

According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]

Therefore,

[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]

Answer:

Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:

a. So in your case, starting from the bottom, the slope is:

If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)

So the coordinates of the two points would be:

(0,0) and (13, 8)

Using the formula we would have:

b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.

However, if you proportionally increase the width and the height, then the slope will remain the same.

Step-by-step explanation:

Answer: 60588

Step-by-step explanation:

= 89100 x 0.68

= 60,588

Answer:

23 deg

Step-by-step explanation:

For angle x, 3 is the opposite leg.

sqrt(58) is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin x = opp/hyp

sin x = 3/sqrt(58)

sin x = 0.3939

x = sin^-1 0.3939 = 23 deg

Answer:

d; below; y = −2x + 2

Step-by-step explanation:

the equality  ≤  means left to right that y is equal or less than. We see that 2 is equal or less than 3.

We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.

Answer:

B (1,0) hope this helps :)

Could you show the given circle please?

Answer: The answer is C.

Step-by-step explanation: I just did it

Answer:

x < 6

Step-by-step explanation:

8x + 6 < 54

Subtract 6 from each side

8x+6-6 < 54-6

8x < 48

Divide each side by 8

8x/8 < 48/8

x < 6

Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72

Answer:

x>-2

Step-by-step explanation:

13+x>11

Subtract 13 from each side

13-13+x>11-13

x>-2

Answer:

D

Step-by-step explanation:

Answer:

14.14

Step-by-step explanation:

V=4

3πr3=4

3·π·1.53≈14.13717

Step-by-step explanation:

first change it to fraction

1/6

use long division method to simplify

you will get

0.66666666666

leave your answer in 2 place decimal

0.167

Answer:

Step-by-step explanation:

lets find the volume of a go math book

V=LWH

V=10.75*8.5*1

V=10.75*8.5

V=91.375 inches^3

the amount of Go Math books that can fit in tier 1 is

(tier 1's volume)/91.375

then , round to the smallest whole number

(how many whole books you can fit in

I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]

                    = -[tex]\frac{16}{8}[/tex]

                    = -2

and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]

         = [tex]-\frac{40}{8}[/tex]

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

Answer:

Actually, if you graph it the correct answer is the third option, not the first

Trust me I got 100%

Answer:

Domain = {-6 ≤ x ≤ 2, x ≠ 0}

Range = {1 < y ≤ 6}

Step-by-step explanation:

Answer:

Domain: -6[tex]\leq x<0 or 0<x\leq 2[/tex] Option A

Range: 1<y[tex]\leq 6[/tex]

Step-by-step explanation:

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

Answer:

A(lawn) = 68 m²

Step-by-step explanation:

A(lawn) = Agarden - Aflower - Avegetables

= 10m×14m - 3m×8m/2 - (5m+7m)×10m/2

= 140m² - 12m² - 60m²

= 68 m²

A(rectangle) = w × h

A(triangle) = ½ × b × h

A(trapeze) = ½(B+b) × h

Answer:

1,178 cubic feet

Step-by-step explanation:

volume of cylinder is given by following formula

volume = [tex]\pi r^2l[/tex]

where r is the radius for cylinder and l is the height of cylinder.

____________________

given

diameter of cylinder = 10 feet

radius is half diameter

thus, radius = diameter/2 = 10/2 = 5 feet

height of the cylinder = 15 feet.

[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]

Thus, volume of cylinder is 1,177.5 cubic feet

volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Answer:

True bc both paired of opposite sides are parallel

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

23×-5

= -115

The answer is -115, easy peasy

Answer:

A

Step-by-step explanation:

answer on edg 2020

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

Answer:

in thirds so Dena gets 1/3 and Sue gets 2/3 which is half

Step-by-step explanation:

Answer: 465 π

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x (diameter /2) ² x height  

Replacing with the values given and solving for v (Volume)  

V = π x (6/2)²x 50

V = 450π

And then for the bottom part:

Volume of a cone = 1/3 x π x (diameter/2)^2 x height  

Replacing with the values given:  

V = 1/3 π (6/2) ^2 (5) = 15π

Finally we add the volumes:

450π+15π = 465 π

In conclusion, the volume of the solid is 465π m3.  

Feel free to ask for more if needed or if you did not understand something