Answer:
24 minutes
Step-by-step explanation:
Working at the same speed, the ratio of time to length is the same:
time/length = t/12 = 3/(1.5)
t = 12(3/1.5) = 12(2) = 24
It will take Mark 24 minutes to make a 12-inch bracelet.
Answer:
x=2
Step-by-step explanation:
3x=5+1
3x=6
x=6/3
x=2
Here are the CORRECT answers.
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9514 1404 393
Answer:
- Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
- Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
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<em>Additional comment</em>
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
$68 is discounted from the regular price.
To find this, you first divide 80% by 100 to get 0.8 (the decimal form of the percentage). Then, simply multiply 0.8 by 85 (or vise verse) to get $68. Since the question is asking for how much is discounted from the regular price, the final answer would be $68.
I hope this helps!