D=z, j=4d,
If w=j, then w=4d,
If w=4d and d=z then:
w=4z
3x+y=4 (y=-3x+4)
Plug it in for y x+2(-3x+4)=-2
x=2
Plug in for x 2+2y=-2
y=-2
Solution: (2,-2)
Construct two angle bisectors of the triangle
Answer:
Option (D) is correct
<u>Step-by-step explanation:</u>
We have to contruct two angle bisectors of the triangle.
various steps to inscribe the circle in a triangle are
- First draw a triangle
- Draw angle bisector of one angle
- Draw angle bisector of another angle
- Extent these angle bisectors, where they meet that point will be called the incenter
- From incenter draw prependicular to any side of the triangle
- The length from the point where the prependicular touches the side of triangle to the point of incenter will be radius.
- Use this radius and draw the incircle.
4mph
0.4 x 7 mph =2.8 miles - distance run.
Let the required speed =S
[2.8 + 0.8S] / [0.4+0.8] =5, solve for S
S =4 mph - must walk to attain an average of 5 mph, or:
6 miles / 1.2 hours =5 mph
