It is E X= 22
J LINE SUPPLEMENTARY ANGLE so
the angle is = 180 - (5x-16 ) = 180-5x +16 =196 -5x ( angle in the triangke )
the other angle in the triangle = 50 ( alt interior angles line l parallel m
then we took the triangle sum = 180
<span>196 -5x </span> + 2x +50 = 180
so x = 22
Answer:
option 4
Step-by-step explanation:
(f*g)(x) =(x² + x+ 1)*(x² - x -1)
= x²*(x² - x -1) + x(x² - x -1) + 1*( x² - x -1)
= x²*x² - x²*x -x²*1 + x*x² - x*x -x*1 + x² - x -1
= x⁴ - x³ - x² +x³ - x² - x + x² - x -1
= x⁴ - x³ + x³ - x² - x² + x² - x - x - 1
= x⁴ - x² - 2x - 1
Answer:
B) A market equilibrium price less than $30
Step-by-step explanation:
When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.
The central angle of the hexagon is equal to 60º.
Therefore, the trigonometric relationship for the radius is given by:

Where,
a: apothema of the hexagon
c: Hexagon radius.
Clearing the radio we have:

Substituting values:

Rounding to the nearest whole number we have:

Answer:
The measure of the radius, c, rounded to the nearest inch is:
C. 14 in.
You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25