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Aleks [24]
3 years ago
5

Rosa finishes the trail first. How long, in minutes (min), does she have to wait for Peng to finished?

Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

what is the full problem?

Step-by-step explanation:

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides? It would be a great he
bija089 [108]

Answer: AC= 10 cm and CE= 5 cm


Step-by-step explanation:

In the given picture, Δ ADE is a right triangle

∴ By Pythagoras theorem,

AD^2+DE^2=AE^2\\\Rightarrow\ (8+4)^2+9^2=AE^2\\\Rightarrow\ AE^2=12^2+9^2\\\Rightarrow\ AE^2=144+81=225\\\Rightarrow\ AE=15\ cm

Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,

\frac{AB}{AC}=\frac{AD}{AE}\\\Rightarrow\frac{8}{AC}=\frac{12}{15}\\\Rightarrow\ AC=\frac{8\times15}{12}\\\Rightarrow\ AC=10\ cm

Now, AE=AC+CE

⇒CE=AE-AC

⇒CE=15-10=5 cm


4 0
4 years ago
Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.
olganol [36]

Answer: Balls 4 and 9 are furthest apart

Step-by-step explanation:

4 0
3 years ago
What is the slope of a line that contains the points (8-,4) and (10,-2)
erastova [34]
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-2 - (-4)}{10 - 8} = \frac{-2 + 4}{2} = \frac{2}{2} = 1

   y - y₁ = m(x - x₁)
y - (-4) = 1(x - 8)
   y + 4 = 1(x) - 1(8)
   y + 4 = x - 8
       - 4       - 4
         y = x - 12
5 0
3 years ago
Write the quadrants where the following points will lie. (a) (-20,13), (b) (-12, -8 ).​
frozen [14]

Answer:

(-20,\, 13) would be in the second quadrant of the cartesian plane.

(-12,\, -8) would be in the third quadrant of the cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes of the cartesian plane divides the plane into four quadrants. By convention, these quadrants are numbered counterclockwise starting from the quadrant on the top right:

\begin{array}{c|c}\text{Second Quadrant} & \text{First Quadrant} \\ \cline{1-2}\\[-1em] \text{Third Quadrant} & \text{Fourth Quadrant}\end{array}.

  • Top-left: first quadrant.
  • Top-right: second quadrant.
  • Bottom-left: third quadrant.
  • Bottom-right: fourth quadrant.
  • Points on either axes (where at least one of the coordinates is 0) are not in any of the four quadrants.

The x-coordinate of the first point, (-20,\, 13), is x = -20, which is negative. Thus, this point would be to the left of the vertical axis.

Since the y-coordinate of this point, y = 13, is positive, this point would be above the horizontal axis.

Thus, the point (-20,\, 13) would be in the quadrant on the top-left corner of the cartesian plane. Therefore, this point would be in the second quadrant of the plane.

The second point (-12,\, -8) would also be to the left of the vertical axis since the x-coordinate of this point, x = -12, is negative.

This point would be below the horizontal axis since the y-coordinate of this point y = -8 is negative.

Thus, the point (-12,\, -8) would be in the quadrant on the lower-left corner of the cartesian plane. This point would be thus be in the third quadrant of the plane.

4 0
3 years ago
PLEASE GUYS I NEED THIS ANSWER!! (Trolls and links will get reported)
irakobra [83]

Answer:

Literally multiply any point on the rectangle by 3.

ie: original : (1,3)

scaled: (3,9)

by a factor of 3

3 0
3 years ago
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