Answer:
Step-by-step explanation:
(6x+1)(9x-23)= 6x(9x-23)+1(9x-23)
= 54x²-138+9x-23
= 54x²+9x-161
Add the sides then what ever you got add that up with 9 yd
Answer:
The numbers are 44 and 46
Step-by-step explanation:
Let
x, x+2 ----> the two consecutive positive even integers
we know that

Solve the quadratic equation using a graphing calculator
The solution is x=44
see the attached figure

therefore
The numbers are 44 and 46
Answer:
<ABC =
(The central angle of a circle is twice any inscribed angle subtended by the same arc).
Step-by-step explanation:
From the diagram, ABC is an inscribed isosceles triangle. But the radius of the circle equals the length AC.
Join P to A and C to form an equilateral triangle. An equilateral triangle has equal sides and angles. So, the value of each interior angle of the equilateral triangle is;
Sum of angle in a triangle = 
So that each interior angle = 
= 
The value of each interior angle of the triangle is
. Thus, <APC =
.
⇒ <ABC =
(The central angle of a circle is twice any inscribed angle subtended by the same arc.)
C. when opposite sides are congruent and parallel