Answer:
The angles  are used to prove the similarity of triangles VWZ and YXZ.
 are used to prove the similarity of triangles VWZ and YXZ.
Step-by-step explanation:
Given information: 
Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.
If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.
From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.
 (Vertically opposite angles)
                   (Vertically opposite angles)
 (Given)
                (Given)
By SAS rule of similarity

Therefore the angles  are used to prove the similarity of triangles VWZ and YXZ.
 are used to prove the similarity of triangles VWZ and YXZ.
 
        
                    
             
        
        
        
The true statement about the triangle is (a) b^2 + c^2 > a^2
<h3>How to determine the true inequality?</h3>
The sides are given as:
a, b and c
The angle opposite of side length a is an acute angle
The above means that:
The side a is the longest side of the triangle.
The Pythagoras theorem states that:
a^2 = b^2 + c^2
Since the triangle is not a right triangle, and the angle opposite a is acute.
Then it means that the square of a is less than the sum of squares of other sides.
This gives
a^2 < b^2 + c^2
Rewrite as:
b^2 + c^2 > a^2
Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2
Read more about triangles at:
brainly.com/question/2515964
#SPJ1
 
        
             
        
        
        
1/3*4= 4/12
3/4*3= 9/12
Answer is 4/12 and 9/12.
        
             
        
        
        
Answer:
y=-10
Step-by-step explanation:
In this problem you're trying to figure out what y equals.
First you subtract 11 from both sides.
30=-3y
Then, you divide each side by -3 to find y.
-10=y
y=-10
 
        
                    
             
        
        
        
Area of rectangle b=1/2 area of rectangle a=40/2=20 cm²
Length=8 cm 
Width of rectangle b=20/8 =2.5 cm