9514 1404 393
Answer:
-11
Step-by-step explanation:
DeYanna's cards are ...
black: 2, 4, for a total value of 2+4 = 6
red: 7, 10, for a total value of -(7+10) = -17
Then the total value of DeYanna's cards is ...
6-17 = -11
The answer is a..................................
An angle bisector divides an angle into two equal halves.
The measure of angle
is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects ![\angle RPD](https://tex.z-dn.net/?f=%5Cangle%20RPD)
Because line PC bisects
, then it means that the measure of RPD is twice the measure of CPD:
So, we have:
![\angle RDP = 2 \times \angle CPD](https://tex.z-dn.net/?f=%5Cangle%20RDP%20%3D%202%20%5Ctimes%20%5Cangle%20CPD)
Substitute ![\angle RPD = 140^o](https://tex.z-dn.net/?f=%5Cangle%20RPD%20%3D%20140%5Eo)
![140^o = 2 \times \angle CPD](https://tex.z-dn.net/?f=140%5Eo%20%3D%202%20%5Ctimes%20%5Cangle%20CPD)
Divide both sides by 2
![70^o = \angle CPD](https://tex.z-dn.net/?f=70%5Eo%20%3D%20%5Cangle%20CPD)
Apply symmetric property of equality:
![\angle CPD = 70^o](https://tex.z-dn.net/?f=%5Cangle%20CPD%20%3D%2070%5Eo)
Hence, the measure of angle
is 70 degrees
Read more about angle bisectors at:
brainly.com/question/12896755
The four color theorem-No more than 4 colors are required to color the regions map
Answer:
The area of the rectangle on the left side is
![9cm \: \times 4cm = 36 {cm}^{2}](https://tex.z-dn.net/?f=9cm%20%5C%3A%20%20%5Ctimes%204cm%20%3D%2036%20%7Bcm%7D%5E%7B2%7D%20)
The area of the bottom rectangle is
![6cm \times 2cm = 12 {cm}^{2}](https://tex.z-dn.net/?f=6cm%20%5Ctimes%202cm%20%3D%2012%20%7Bcm%7D%5E%7B2%7D%20)
The total area of the composite figure will be
![36 {cm}^{2} + 12 {cm}^{2} = 48 {cm}^{2}](https://tex.z-dn.net/?f=36%20%7Bcm%7D%5E%7B2%7D%20%20%2B%2012%20%7Bcm%7D%5E%7B2%7D%20%20%3D%2048%20%7Bcm%7D%5E%7B2%7D%20)
Step-by-step explanation:
The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.
Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//
The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//
The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//