Answer:
2.92401.....
Step-by-step explanation:
1.
{3x+9y=75
{8x+5y=67
2. elmination
{24x+72y=600
-
{24x+15y=201
57y=399
y=7
8x=67-35
x=4
Senior citizen ticket cost $4
child ticket cost $7
Answer:
Given statement is TRUE.
Step-by-step explanation:
Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.
We know that corresponding angles formed by transversal line are congruent.
Hence ∠JKL = ∠ MLK ...(i)
Now consider triangles JKL and MLK
JK = LM {Given}
∠JKL = ∠ MLK { Using (i) }
KL = KL {common sides}
Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.
Hence given statement is TRUE.
(12x^2y^−2)^5(4xy^-3)^−7
= (248832x^10y^21)/(16384x^7y^10)
= (248832x^3y^11)/(16384)
= (243x^3y^11)/16
We need (x-h)^2 + (y-k)^2 = r^2
h = 4, k = 0 and r = 2/3
Take it from here.