Answer:
An inch is greater than a centimeter.
Step-by-step explanation:
Students to student assistants
3rd period is 85:5
fractionify and simplify
85/5=17/1
17:1
7th period is 51:3
51:3
51/3
17/1
17:1
if they are proportional, then they are equal when simplified
17:1 is 3rd period
17:1 is 7th period
they are equall
they are poropoertional
Answer:
B. 12.16 inches
Step-by-step explanation:
Triangle MNP has two sides given as length 5 (MN) and 10 (PN). The third side (MP) must be longer than 10* and less than 10+5=15. There is only one answer choice in that range: 12.16.
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If we call the point of intersection of the diagonals X, then we know that NX = 8/2 = 4, and we can use the Pythagorean theorem to find MX and PX.
MX² +NX² = MN²
MX² + 4² = 5²
MX = √(25 -16) = 3
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PX² +NX² = PN²
PX² + 4² = 10²
PX = √(100 -16) = 2√21 ≈ 9.1652
Then ...
MP = MX +PX = 3 +9.1652 = 12.1652 ≈ 12.17 . . . . . matches selection B
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* The argument for the upper limit of MP comes from the triangle inequality. The argument for the lower limit comes from the observation that angle NMP is smaller than angle MNP, so side PN must be shorter than side MP. That is, MP must be greater than 10 inches.
Answer:
When the absolute value of the scale factor is lower than 1, it decreases the size of the shape.
When the absolute value of the scale factor is greater than 1, the shape will increase in size.
Step-by-step explanation:
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The answer should be (7x+1)(7x-1)