21: The factors of 21 are 1,3,7,21
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:
jesus...you're twisted anyway 69 :)
Step-by-step explanation:
Answer:
x = 4.
Step-by-step explanation:
log(x + 6)- log(x - 3) = 1
Using the law log a - log b = log a/b:
log (x + 6)/ (x - 3) = 1
Removing logs:
(x + 6)/ (x - 3) = 10
x+ 6 = 10x - 30
9x = 36
x = 4 (answer).
Answer:
Step-by-step explanation:
<u>This is the permutation of 4:</u>
- 4P4 = 4! = 1*2*3*4 = 24 ways
