Answer:
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Explanation:
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Answer:
Scale factor:
Actual area:
Scale drawing area:
Ratio of areas:
Scale factor 2:
Scale factor :
Scale factor :
Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides
Scale factor :
Step-by-step explanation:
The scale factor is
The actual area is
The scale drawing area is
Ratio of areas:
When the scale factor of the sides was 2, then the value of the ratio of the areas was 4.
When the scale factor of the sides was , then the value of the ratio of the areas was .
When the scale factor of the sides was , then the value of the ratio of the areas was .
Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides.
If the scale factor is , then the ratio of the areas is , based on the observation.
Extra: Proof of observation.
Let the legs of the actual triangle be and . Then the legs of the scale triangle are and , with being the scale factor.
The area of the actual triangle is . The area of the scale triangle is .
The ratio of these areas is , as desired.
2 = coefficient
e = variable
- = operation
f = variable
2e = 2 × e
f subtracted from the product of two and e
Actually, the answer is not A, if you're saying A is the first choice above. That's incorrect. You will need to use the Geometric mean for right triangles here to figure out what the value of a is. We will use this form:
. We have a value for YZ of 3; side a is XZ. That means in order to solve this we need WZ, which we can find using pythagorean's theorem. 3^2 + 4^2 = c^2 and 9 + 16 = c^2 and c = 5. Now we fill in accordingly:
. Cross-multiply to get 3XZ=25 and side XZ is
. XZ is 25/3 and YZ is 3, so 25/3 - 3 = XY. That means that XY (side a) = 16/3 or 5 1/3, choice B, or the second one down.
Answer:
that question is contradicting itself
Step-by-step explanation:
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