Answer:
which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from 
, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as 
and 
. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 
Therefore, the two equal acute angles in the triangle JOH should add to:
resulting then in each small acute angle of measure 
.
Now referring to the green sided right angle triangle we can find find angle JLG, using: 
Finally, the requested measure of angle JLF is obtained via: 
Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
Answer:
x^2 = 121
Step-by-step explanation:
Sea el ancho del terreno x metros
Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x
Matemáticamente, el área de un rectángulo es;
Anchura longitud Por lo tanto, tenemos
x * 2x = 242 metros cuadrados
Así; 2x ^ 2 = 242
x ^ 2 = 242/2
x ^ 2 = 121
Answer:
b
Step-by-step explanation:
the point-slope form of the equation is equal to
Answer:
see attached pdf
Step-by-step explanation:
see attached pdf
