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elena-s [515]
3 years ago
12

What is the relationship among proportional relationships, lines, rates of change, and slope?

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
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The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.
Vitek1552 [10]

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11 
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Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , thus

y = 180° - (55 + 41)° = 180° - 96° = 84°

z and y are adjacent angles and supplementary, thus

z = 180° - 84° = 96°

x and 109° are alternate exterior angles and congruent, thus

x = 109°

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