1) Answer: A
because trangles RST is similar to VUT as:
<RST=<VUT=55 (Angle)
<RTS=<VTU=90 (it seems right angled) Angle
So by AA similarity...(two angles similarity is enough)
2) Answer:B
y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.
3) Answer: A should be right choice. Step 1 is wrong here which is,
m<m + m<n + m<p=180 (wrong)
It should be:
m<m + m<n + m<0=180 (right)
Answer:
The answer is 10√2.
Step-by-step explanation:
Given:
Consider the given expression is:

To find:
The simplified form of the given expression.
Solution:
We have,

Using distributive property, it can be written as:



Therefore, the correct option is A.
Answer:
Congruent by SAS
Step-by-step explanation:
The three given sides of one triangle is shown to be equal to the corresponding sides of the other triangle.
This means that all threes sides of one are congruent to all corresponding sides of the other triangle.
By the Side-Side-Side Congruence Theorem, we can conclude that both triangles are congruent.
Step-by-step explanation:
0.1 repeating is 1/9, so the number is 4 1/9.