Answer:
The square root of three is irrational.
Step-by-step explanation:
<span>2x+3y=7
x-y=1
</span>2x+3y=7
x=1+y
2*(1+y)+3y=7
x=1+y
2+2y+3y=7
x=1+y
5y=5 |(:5)
x=1+y
y=1
x=2
CHECK:
2x+3y=7
x-y=1
2*2 + 3*1 = 7
x-y = 1
2-1 = 1
Answer:
2
Step-by-step explanation:
Total costs = 4 + (3 * 2) + 5 + 15
Total costs = 4 + 6 + 5 + 15
Total costs = $ 30
Substituting values we have:
Total change = 32 - 30
Total change = 2 $
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
