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
Answer:
From the origin, move 0.5 unit to the left along the x-axis and 1 unit vertically down, and place the point.
Step-by-step explanation:
hope this helps! :}
Answer:
d = 1
Step-by-step explanation:
5(d+2)=15 (Given)
5d + 10 = 15 (distribute)
5d = 5 (subtraction)
d = 1 (division)
Answer:
189
Step-by-step explanation:
let the number be n , then number multiplied by itself is n² and
n² = 567 × 63 = 35721 ( take square root of both sides )
n = 
= 189
9514 1404 393
Answer:
-1/7
Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x.
0 = 7/4x +1/4
Multiply by 4/7
0 = x + 1/7
Subtract 1/7
-1/7 = x
The x-intercept is -1/7.
_____
In decimal, that is -0.142857... (6-digit repeating decimal)
