Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Isosceles Triangle Theorem
Angle Addition
Given
Definition of Bisector
Substitution
Angle Addition
Given
Definition of Bisector
Substitution
Substitution
Division Property of Equality
Reflexive Property
Angle-Side-Angle Congruence*
CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
8
Step-by-step explanation:
3(2)-2(1-2) / 3-2
6-2(-1) / 1
6 + 2 / 1
8 / 1
= 8
There is no one answer (ordered pair) to this equation and the answer is found by graphing or trying out different values for each variable. Anyway, here are some solutions; (1,0), (4,1), (0,-1/3).
Answer:
15.25
Step-by-step explanation:
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.