Answer:
100 meters
Step-by-step explanation:
Given the following :
Alex house = F
Alex school = H
Alex bus stop = G
FG = 2x meters
GH = 1000meters
FH = 1200 meters
Hence,
FH = FG + GH
1200 = (2x + 1000) meters
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100meters
Hence, x = 100 meters
Statements
2. right triangle
3. PQ = OP
5. ∆ONP = ∆PQO
Reasons
1. Given
4. Given
5. SAS
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If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
A=LW
103 1/8=12 1/2W
103 1/8 divided by 12 1/2
8 1/4
