Answer: The value of x =8.
Step-by-step explanation:
We know that the incenter of triangle is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.
Thus if G is the incenter of 
then, it is bisecting 
Therefore, the value of x=8.
Answer:
y= -6x+2
Step-by-step explanation:
y=mx+b
Slope is also known/substituted by the variable m. Therefore we can come to the conclusion that m=-6.
y=-6x+b
Y-intercepts are substituted with the variable b. Therefore we can substitute the 2 as b, meaning b=2.
Leaving you with the final answer of:
y= -6x+2
15.7 Gallons
Each wall is 15*30 = 450
450* 4 walls = 1,800
Area of triangles are 15*15/2 = 112.5
112.5 * 4 triangles = 450
1,800 + 450 = 2,250
2,250/143 = 15.73
1 km ------------ 1000 m
322 Km --------- ?
meters = 322 x 1000 / 1
meters = 322000 / 1
= 322000 meters
hope this helps!
See the attached figure to better understand the problem
we know that
1) First way to find the value of ain the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²--------> BC²=AC²-AB²-----> BC²=25²-15²-----> BC²=625-225
BC²=400--------> BC=20 units
a=BC
a=20 units
2) Second way to find the value of a
in the triangle ABD
AB²=AD²+BD²--------> BD²=AB²-AD²-----> BD²=15²-9²---> BD²=144
BD=12 units
in the triangle BDC
a=BC
BC²=BD²+DC²-----> 12²+16²----> 144+256------> BC²=400
BC=20 units
a=20 units
