Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF
and
Thus
∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
(1) You can see that the 6 is being added to both sides.
You are trying to make both sides equal by adding 6, so it would be the Addition Property of Equality.
(2) 4 is being divided into both sides.
It would be the Division Property of Inequality. (you are dividing by 4 to make both sides equal)
"B" is the answer.
I hope this helps!
~kaikers
Answer:
x +3 = x^2 +2x -4
Step-by-step explanation:
Straight substitution of the top expression for y gives you ...
x +3 = x^2 +2x -4
__
This lets you rewrite the equation to standard form as ...
x^2 +x -7 = 0
and find the solutions to be ...
x = (-1±√29)/2
Corresponding y-values will be 3 more than this:
y = (5±√29)/2
I hope this helps you
Area of parallelogram =base×height
Area =87×18,6
Area =1618,2
