God I love Triangles
1: b=36 units
2: C.
1st Explanation:
Given the triangle's sides are to scale, you can take the larger one and divide a side value by it's scaled version to find the rate of change.
In this instance, i took 45/10 and got 4.5, I checked with the other side and found 27/6 also was equivalent to 4.5. This meant the scale from Triangle 1 to Triangle 2 was upscaled by a multiple of 4.5 ...
I took the non-scaled side, and used the common multiple that is present on the other sides, and I found 8x4.5=36.
So, side b, the un-labeled, target side on Triangle 2, equals 36 units. (never forget the units when written, remember this for your future.)
2nd Explanation:
The word problem presents an estimated guess that we are to evaluate it's accuracy of.
I started by reading Laamars, prediction, and checked for any obvious answers. I did not find one, so I moved on to do the math to the estimated penny, by doing:
-Lamar has 1 Full Jar worth $51.45
Value: (51.45)
-Lamar has two identical (same, nearly) jars
Value: (2x51.45)
-Lamar has a 3/4 full jar. So, I converted 3 divided by 4 to .75,
Value: (.75x51.45)
-Lamar has a 1/2 full jar. So, I used one half of 51.45 with the equation: Value: (51.45/2 OR .5x51.45)
So, gathered the values and got the sum of:
Estimated Value = 51.45+(51.45x2)+(.75x51.45)+(.5x51.45) = $218.66
With this in mind, we know Lamar OVERESTIMATED, so we can eliminate answer choices A and B. When you read D, it is already known that the exact value may not be $51.45, so, by process of elimination, I concluded that Lamar most likely overestimated becuase "He has Just over 4 containers, and 4x50=200"
3+.75+.5=4.25, so the statement "just over 4" is true.
Hope this Helped!