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
I got 29.2 (I also rounded it to the nearest tenth for u)
Yes, 5/60, 5 divided by 5=1. 60 divided by 5= 12. Leaving you with 1/12. Meaning that both fractions are equivalent
Answer:
We will take option B.
Step-by-step explanation:
Option A) |4 − 1| = 3 units
Option B) |4 − (−1)| = 5 units
Option C) |−4 + (−1)| = 5 units
Option D) |−4 − (−1)| = 3 units.
Now, from the number line and from the points given on the number line it is clear that the distance from one point to another is 5 units.
So. option B or Option C can be the right one.
Now, the right side point is on +4 point and the left side point is on -1 point.
So, the distance between those points will be calculated as 4 - (- 1) = 5.
Therefore, we will take option B. (Answer)
