Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Answer:
B
Step-by-step explanation:
The closed circle at - 
indicates that x can equal this value
The open circle at 
indicates that x cannot equal this value.
All values of x between - and are valid, thus
- ≤ x < → B
Answer:
35%
Step-by-step explanation:
Given data
Initial price= $80
Final price= $52
% decrease= initial-final/initial*100
% decrease= 80-52/80*100
% decrease= 28/80*100
% decrease=0.35*100
= 35%
Hence the decrease is 35%
Answer:
0.833 repeating or 5/6
Step-by-step explanation:
I just searched it online it that's all
