Answer: The answer would be D. 64
Step-by-step explanation: Understanding that the question noted that the second rectangle was dilated from PQRS, which has a perimeter of 16. With the coordinates of point P for the first rectangle being (2,0.5) whilst the second rectangle has point P at (8,2). To figure out the perimeter, divide point P from the second rectangle with point P from the first. The result would be 4. Thus, the scale factor is 4, which you then multiply the perimeter of PQRS by, which was 16. 16 times 4 equals 64.
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The answer is 29. If you put it in an equation, it looks like 90=(x*3)+3. If you -3 from each side, you get 87=x*3. Divide each side by 3, and you get x=29.
Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!
Answer:
x = 5
Step-by-step explanation:
From the picture attached,
If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,
Both the angles given in the picture, will be equal in measure as these angles are interior alternate angles.
16x = 15x + 5
16x - 15x = 5
x = 5
Therefore, x = 5 makes the lines v and u parallel.