Answer:
It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.
Angles in a triangle total 180°
180=128+5x+10+9x
180-128-10=5x+9x
42=14x
x=3
Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
Answer:
(c)- 4/13
Step-by-step explanation:
There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades
each set has 1 seven each, so 4 sevens total.
Also, each type of card has 13 different cards in it
so, your answer is 4/13
The formula of compound continuously is
A=p e^rt
A future value?
P present value 300
R interest rate 0.07
T 4 years
E constant
A=300×e^(0.07×4)
A=396.94 round your answer to get
A=397
