Answer: The segment EF of the isoceles triangle ΔEFP is 10 units
Solution
If point P is equidistant from the vertices of ΔDEF, the segment PE must measure the same that the segment PF, then these two segments are congruent:
PE=PF
Then ΔEFP is an isisceles triangle, because it has two congruent sides (PE=PF), and the height of the side EF (PJ perpendicular to EF) divides ΔEFP into two congruent right triangles (ΔEJP and ΔFJP). The legs EJ and FJ must be congruent:
FJ=EJ
3x-1=x+3
Solving for x: Subtracting x and adding 1 both sides of the equation:
3x-1-x+1=x+3-x+1
2x=4
Dividing both sides of the equation by 2:
2x/2=4/2
x=2
Then:
FJ=3x-1→FJ=3(2)-1→FJ=6-1→FJ=5
EJ=x+3→EJ=2+3→EJ=5
EF=EJ+FJ→EF=5+5→EF=10
P=-8 because you solving for p
Answer:
40%
Step-by-step explanation:
You subtract 11,970-8,550 = 3,420 to isolate the increase.
Divide 3,420/8,550 = .4 to get the percent increase of the markup.
The answer is .4 or 40% (they are equivalent)
You can check my work by multiplying 8,550 * .4 = 3,420
This answer is the percent of 8,550 that it increased (40% of 8,550) so make sure that is what the question is asking. If it is then it's your answer.
Answer:
13 + 4(2) - 5(13) + 3
<em>multiply the numbers</em>
13 + 8 - 65 + 3
<em>calculate the sum or difference </em>
= -41
Step-by-step explanation:
