Answer:
9/4
Step-by-step explanation:
x+3x=9
4x=9
x=9/4
Angle N is also 105 degrees, they are alternate exterior angles so they are congruent
Given:
The sets are 
and 
.
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,
Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.
The surface area of any object is the sum of the areas of all the faces. In this case, we have a rectangular prism with dimensions 8x4x3 and a trianglar prism with a 8x4 rectangular base and height of 6.
Let's start with the rectangular prism. We have the bottom which is 8x4, two sides that are 3x4, and two sides that are 8x3.
8*4 + 2*3*4 + 2*8*3 = 104 in^2
Now that's find the surface area of the trianglar prism. We have the rectangular side on top which is 10x4, the rectangular side on the right which is 6x4, and two triangles that are 8 long and 6 high.
10*4 + 6*4 + 2*0.5*8*6 = 112 in^2
The total surface area is 104 + 112 = 216 in^2
Answer:
AB = 21
Step-by-step explanation:
So we have two triangles (AEB and ADC), and they're similar by AA
Now, you can find the ratio of similitude by checking AE/AD which is 14/26 = 7/13
AB/AC = 7/13
Take AB as x aight
x/x+18 = 7/13
x=21
