What 2 numbers whose sum is 105.7 the numbers are 19, 85.2, 533, 571, 88.2, 525, 20, 17.5, 400, 261, 20.5 ,125, 7, 23, 901, 30
givi [52]
To make it quickly we can consider only those numbers which will give us a decimal of xxx.7. There are only a few numbers like this: 85.2, 88.2, 20.5.
I tried adding 85.2 to 17.5 and it gave me 102.5 - it was close but not close enough :)
So I picked 85.2 + 20.5 = 105.7 and voila :)
Answers:
- AE = 26
- AN = 58
- CT = 22.5
- Perimeter of triangle AEN = 127
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Work Shown:
Because points C, P, and T are midpoints of the sides of triangle AEN, this means the segments CP, PT, and CT are midsegments of triangle AEN.
The segment PT = 13 is a midsegment of the larger triangle, and it is parallel to the side AE. Recall the midsegment is half as long as its parallel side.
This means,
PT = (1/2)*AE
2*PT = AE
AE = 2*PT
AE = 2*13
AE = 26
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We'll use the same idea to find AN
CP = (1/2)*AN
2*CP = AN
AN = 2*CP
AN = 2*29
AN = 58
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And we can also say,
CT = (1/2)*EN
CT = (1/2)*43
CT = 22.5
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Add up the sides of triangle AEN to find its perimeter
Perimeter of triangle AEN = (AE)+(EN)+(AN)
Perimeter of triangle AEN = (26)+(43)+(58)
Perimeter of triangle AEN = 127
Vertex: (-2,-3)
axis of symmetry: x=-2
min: (-2,-3)
max: no max because it is a parabola tht opens up
Range: y > or equal to -3
