Answer:
B) 24 p-35
Step-by-step explanation:
<u>Step :1</u>
<u>A</u>pply distributive property a.(b+c) = a.b+a.c
Given data 1+4(6 p-9)
= 1+4.6 p - 4.9
multiply
= 1+ 24 p - 36
subtracting
= 24 p - 35
Answer:
The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up
Step-by-step explanation:
I like math.
Answer:
x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)
Step-by-step explanation:
APRB form a cyclic trapezoid
∠APO = x° (Base angle of an isosceles triangle)
∠OPR = ∠ORP (Base angle of an isosceles triangle)
∠ORB = ∠OBR (Base angle of an isosceles triangle)
∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)
Similarly;
∠ORB + ∠ORP + x° = 180°
Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR = ∠ORP we put
We also have;
∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)
Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR
Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.
2.
(this is given in the first sentence)
3.
and
due to ...
7. ... the alternate interior angles theorem (which holds because
and
are parallel)
8. Because the above establishes that
, which means
, which in turn means
is a parallelogram.
Answer:
1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
