Answer: w is equal to the sum of angles x and y. (W=x+y)
Step-by-step explanation:
The exterior angle of a triangle (in this case w) is equal to the sum of the two remote interior angles of the triangle (in this case angles x and y)
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Ok so we have 2 (congruent) triangles and 3 rectangles. 
Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be 
Now let's start: 
First, I am going to start with finding the area of the rectangles. 

Alright, next lets move on to the triangles. 
They are both the same, if you notice. So find one and double it. 

now lets add em all 
330+60
= 390 and thats your final answer, dont forget to include the unit, ft^2
 
        
             
        
        
        
From the problem we have
In △ABC, m∠A=52°, c=11, and m∠B=19°.
Draw the diagram with the help of given information, (see the attached image)
Now using Sine Law in the Triangle ABC, we can write 
Now from Triangle ABC , we can write 


Now simplify , we get

 
        
             
        
        
        
Answer:
13 + 
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5. 
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8. 
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees. 
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2. 
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB = 
Now that we know the lengths of all three sides, we can add them up. 
--> 5 + 8 + 
--> 13 + 
or
--> 22.43398113....
 
        
             
        
        
        
It is 78 because you can draw a transversal with the line that 79 is on, and 79+23+x=180. so 180-79-23=78 therefore 78=x
understand?