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Anni [7]
3 years ago
10

Jerry and Katja are running in a race. Jerry runs really fast for a while. Then, he stops to catch his breath. After he has rest

ed, he runs really fast again until the end of the race. Katja runs slower than Jerry, but runs at the same pace the whole race.
In two or more complete sentences, explain which line on the graph models Jerry and which line models Katja. Include an explanation for the intersection point.

Mathematics
2 answers:
insens350 [35]3 years ago
8 0
Line 1 represents Katja, as characterized by the constant slope. On the otherhand, Line 2 represents Jerry, wherein the flat line denotes his resting time. At the intersection of both lines, this is the instance where the speed of Katja and Jerry are both equal.
Elena L [17]3 years ago
4 0
The slope of the lines represent the runners' speeds. Therefore, the purple line represents Jerry, since he started off faster but also stopped in the middle, and the slope became 0 (horizontal portion of the line.)
The red one represents Katja because she started and ended at a constant pace, which is visible in the red line's constant slope.
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An isosceles triangle is a type of triangle where 2 sides are equal.

Picture out 2 triangles with the same base length. 
On the first triangle, its legs are twice the length of the legs of the second triangle.

To put it into variables, let:
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    2A = the length of one leg of the bigger triangle

Given:    Perimeter of smaller triangle = 23cm
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Recall the formula for solving the perimeter of a triangle:
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Since the triangle involved is an isosceles triangle, therefore, we can say that
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Substituting the given perimeter value to the formula. 
   
23cm = 2A + B                    ⇒   equation 1  (smaller triangle)
43cm = 2(2A) + B                ⇒   equation 2  (bigger triangle)

Simplifying equation 2.
                                    43cm = 4A + B
  (rearranging)             B = 43cm - 4A        ⇒ equation 3

Substituting equation 3 to equation 1:
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                                    2A = 43cm - 23cm
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                                     A = 10cm   ⇒   length of the leg of the smaller triangle

To solve for the base length, just substitute the value of A to equation 3
     (equation 3)       B = 43cm - 4A
                               B = 43cm - 4(10cm)
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Final Answer:

• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm
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