Plz help. What are the coordinates of the fourth vertex of parallelogram ABCD? D ( __ , _

in the figure below, what are the values of x and y? What are the measures of the four angles in the figure

snow_tiger [21]

Answer:

a. x=57.6, y=44.8

Step-by-step explanation:

Named the angles, check the picture for that

<ABD+<ACD=180 (Opposite angles of a quadrilateral is supplementary (180 degrees)

<CAB+<BDC=180 (Opposite angles of a quadrilateral is supplementary (180 degrees)

therefore:

a. 3y+x-12=180.............. equ 1

2x+y+20=180.............equ 2

From equ 1

x+3y=180+12

x+3y=192...............equ 3

From equ 2

2x+y=180-20

2x+y=160.............equ 4

Equate equ 3 and equ 4

x+3y=192...............equ 3

2x+y=160.............equ 4

Using elimation method

x+3y=192...............equ 3

2x+y=160.............equ 4

Multiple equ 3 by 1 and equ 4 by 3

x+3y=192...............equ 3 ×1

2x+y=160.............equ 4 ×3

x+3y=192

6x+3y=480

Subtract

-5x+0=-288

-5x=-288

x=57.6................... Equ 5

Replace 57.6 for x in equ 3

x+3y=192...............equ 3

57.6+3y=192

3y=192-57.6

3y=134.4

y=44.8

B. <CAB= 2x=2×57.6=115.2

<ABD= 3y=3×44.8= 134.4

<ACD=x-12=57.6-12=45.6

<BDC=y+20=44.8+20=64.8

8 0

3 years ago

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc

Bond [772]

The relationship is that two times the volume of cylinder is volume of cone

Solution:

Given that, cylinder and a cone have the same diameter: 8 inches

Diameter = 8 inches

Radius is diameter divided by 2

$radius = \frac{diameter}{2}\\\\radius = \frac{8}{2} = 4$

Radius = 4 inches

Let us find the volume of cylinder and cone

Volume of cylinder:

$volume = \pi r^2 h$

Radius = 4 inches

The height of the cylinder is 3 inches

height = 3 inches

Substituting the values, we get

$volume = 3.14 \times 4^2 \times 3\\\\volume = 3.14 \times 16 \times 3\\\\volume = 150.72$

Thus volume of cylinder is 150.72 cubic inches

Volume of cone:

$volume = \frac{\pi r^2h}{3}$

Radius = 4 inches

The height of the cone is 18 inches

height = 18 inches

Substituting the values, we get

$volume = \frac{3.14 \times 4^2 \times 18}{3}\\\\volume = 3.14 \times 16 \times 6\\\\volume = 301.44$

Thus volume of cone is 301.44 cubic inches

What is the relationship between the volume of this cylinder and this cone?

Volume of cylinder is 150.72 cubic inches

Volume of cone is 301.44 cubic inches

On observing the volume of cylinder and cone, we find that two times the volume of cylinder is volume of cone

$2 \times \text{Volume of cylinder} = \text{Volume of cone}$

$2 \times 150.72 = 301.44\\\\301.44 = 301.44$

Thus the relationship between the volume of this cylinder and this cone is that two times the volume of cylinder is volume of cone

5 0

4 years ago

Which step comes last when using the divide-center method to find the trend line on a scatterplot?

stepan [7]

Answer:

Connect the two centers to produce the trend line

Step-by-step explanation:

When the dots have been plotted, there are three steps to find the trend line on a scatter plot:

1. Draw a vertical line that separates the full set of points into two sets, each with the same number of dots.

2.Mark with a special sign (e.g + or ×) the middle value in each of the two sets obtained in the previous step.

3.Join the two marks mentioned in the step (2) with a straight line, and extend it to the edges of the graph. This line is the trend line, and this is the last step.

Thus, the last step when using the divide-center method to find the line on scatter plot is Connect the two centers to produce the trend line.

6 0

3 years ago

Read 2 more answers

Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles

HACTEHA [7]

From calculations, we can say that the given tiles will not fit together perfectly.

<h3>How to find the sum of interior angles of a Polygon?</h3>

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

Read more about Interior angles of a Polygon at; brainly.com/question/224658

#SPJ1

4 0

2 years ago

Un estudiante se propone, el primer día resolver dos problemas de RM, el segundo día el doble del día anterior, el tercer día el

pav-90 [236]

??? I don’t understand the question I don’t speak Spanish

5 0

3 years ago

Plz help. What are the coordinates of the fourth vertex of parallelogram ABCD? D ( __ , __ )

Plz help. What are the coordinates of the fourth vertex of parallelogram ABCD? D ( , )