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yaroslaw [1]
3 years ago
9

Write a statement that indicates that the triangles in each pair are congruent

Mathematics
1 answer:
Alchen [17]3 years ago
3 0
Number 1 is congruent
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The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1996 1996 his card w
Katena32 [7]

Answer:

Part 1) The equation is y=1.92x+8.76

Part 2) The value of the card in 2006  was \$27.96

Step-by-step explanation:

Part 1) Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation

Let

x -----> the number of years since 1996

y ----> the value of the card

we know that

The linear equation in slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

we have that

1) The value of the card has increased by ​$ 1.92 each year since 1996

so

The unit rate or slope of the linear equation is m=1.92\frac{\$}{year}

2) When he retired in 1996 his card was worth ​$ 8.76

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the value of the card when the year is 1996 (the number of years is zero)

so

The y-intercept is the point (0,8.76)

b=\$8.76

substitute the values in the linear equation

y=1.92x+8.76

This relation is not proportional, because the linear equation not passes trough the origin

Part 2) What was the value of the card in 2006​?

Determine the number of years since 1996

x=2006-1996=10 years

substitute the value of x in the equation and solve for y

y=1.92(10)+8.76

y=\$27.96

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