Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent
Answer:
y=50
x=60
Step-by-step explanation:
x= 180-(50+70)
x=60
y=50
Answer:
The value of x at this instant is 3.
Step-by-step explanation:
Let 
, we get an additional equation by implicit differentiation:
(1)
From the first equation we find that:
(2)
By applying (2) in (1), we get the resulting expression:
(3)
If we know that 
and 
, then the first derivative of x in time is:
From (1) we determine the value of x at this instant:
The value of x at this instant is 3.
X = 29 and y = 101.
To find this, you need to set up an equation.
6x - 95 = 79. Once you solve this, x would equal 29.
Since 6x - 95 and y are on a straight line, they would have to equal 180. So you make another equation except you plug in 29 for x this time.
6(29) - 95 + y = 180. Once you solve this, y would equal 101.
Among the four choices, theorems is the best possible answer. Postulate, by definition, is a statement that is assumed to be true without proof while theorems are true statements that can be proven. Both of these types of statements are used to justify geometrical equations, illustrations and statements.
