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:
62
Step-by-step explanation:
50,50,54,56,60,62,63,64,79,72,72,
median ids the number at the center
50,50,54,56,60(62)63,64,79,72,72
Given
49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.
To find:
Which of these types of sampling is used: random, stratified, systematic, cluster, convenience?
Explanation:
It is given that,
49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.
That implies,
Since Stratified random sampling is a method of sampling that involves dividing a population into smaller groups–called strata.
Then, the random sampling used is Stratified Random Sampling.
Answer:behave e is
Step-by-step explanation:
