The length and width of the conservatory are both 4.5 meters
<h3>How to determine the length and the width?</h3>
From the figure, we have the following highlights:
- Length = 3 units
- Width = 3 units
A unit = 1.5 meters
So, we have:
Width = Length = 3 * 1.5 meters
Width = Length = 4.5 meters
Hence, the length and width of the conservatory are both 4.5 meters
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Answer: 110 degrees
Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well.
YZ = 16. The triangles are congruent. This would be AAS so YZ = 16 because of CPCTC.
Circumference = πd = 3.14*559 = 1755.26
The spokes divide the circumference into 32 arcs. Each arc length is 1755.26/32 = 54.75 mm
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
