Answer:
JK = 11
Step-by-step explanation:
JK ≅ JM
where
JK = 3x - 16
JM = 2x - 7
3x - 16 = 2x - 7
group like terms
3x - 2x = 16 - 7
x = 9
<u>plugin x=9 into JK</u>
JK = 3x - 16
JK = 3(9) - 16
JK = 11
Asteroid to reach earth 82days
Answer:
Determination is a positive emotional feeling that involves persevering towards a difficult goal in spite of obstacles. Determination occurs prior to goal attainment and serves to motivate behavior that will help achieve one's goal.
I can't see the full picture
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
