Answer:
12 hours
Step-by-step explanation:
Ser up your equation 35 = 5 + 2.50x
Subtract 5 from both sides
30 = 2.50x
Divide both sides by 2.50
<span> ∠ACB = 258 is your answer</span>
Answer:
12 miles
Step-by-step explanation:
30 miles÷2.5 hours
30 miles ÷2.5
2.5 hours ÷2.5
12 miles = 1 hour
12 miles per hour
Answer:
A. The dilated line lies on the original line.
Step-by-step explanation:
Dilation changes sizes, but not slopes or angles. The dilated line is guaranteed to have the same slope as the original.
The center of dilation is "invariant" (doesn't move) as a result of the dilation. Here, the point (3, 0) is the center of dilation. It is the x-intercept of the original line, so will also be on the dilated line.
The dilated line has the same slope as the original and goes through a point that the original line goes through. Hence it lies on the original line.
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How do you do this question?
1. make use of the properties of dilation, as we have done above.
2. plot some points on the original line—(0, 3) and (3, 0) are the intercepts—apply the dilation, and see where the line goes. (You will find (0, 3) ⇒ (-6, 9), and (3, 0) ⇒ (3, 0). Both are on the original line.)
DEF is a isosceles right triangle, so DE =EF. apply Pythagoras:
DF² = DE² + EF² , BUT DE = DF .then DB² = 2DE² = 28²
DE² = 28/2 = 14 and DE = √14 = 3.71 ≈3.7