This one is your answer hope this helps
Answer:The measure of angle RST is 120\°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<RST=(6x+12)\° -----> equation A
m<RST=78\°+(3x-12)\° -----> equation B
equate equation A and equation B
(6x+12)\°=78\°+(3x-12)\°
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
25/100 also 1/4
they are the same fraction, one of them is just simplified
.6666666667 that is a equivalent decimal