Answer:
z = 66
Step-by-step explanation:
RS = z
QT = z - 33
Based on the midsegment theorem, QT = ½(RS)
Plug in the values
z - 33 = ½(z)
Multiply both sides by 2
2(z - 33) = z
2z - 66 = z
Add 66 to both sides
2z = z + 66
Subtract z from both sides
2z - z = 66
z = 66
D. v1, v2,..., vm spans v.
Format your questions better next time.
Answer:
41.5 ft
Step-by-step explanation:
From the information given, and definition of midpoint, we know that:
AB = BC = ½ AC
AC = CE = ½ AE
CD = DE = ½ CE
GF = FE = ½ GE
HG = GE = ½ HE
AI = IH = ½ AH
AJ = JI = ½ AI
We also know:
AH = 20
HE = 14
GD = 4
Therefore:
AI = IH = 10
HG = GE = 7
AJ = JI = 5
GF = FE = 7/2
Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH. So:
JB / 5 = 14 / 20
JB = 7/2
IC / 10 = 14 / 20
IC = 7
And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE. So:
DF / (7/2) = 20 / 14
DF = 5
CG / 7 = 20 / 14
CG = 10
Next we know that AIB and AHC are similar, and DEG and CEH are similar.
IB / 10 = CH / 20
CH / 14 = 4 / 7
CH = 8, IB = 4.
We've found all the lengths inside triangle AEH. Adding them up:
JB + IB + IC + CH + CG + DG + DF
7/2 + 4 + 7 + 8 + 10 + 4 + 5
41.5
The total length of the inside bars is 41.5 ft.
Answer:
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Step-by-step explanation:
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