Please just state if they are agasent, supplementary, or neither!!! I need nothing else!!!

Mathematics

1 answer:

Rina8888 [55]3 years ago

3 0

Step-by-step explanation:

1) supplementary

2) complementary

3) neither

4) neither

5) supplementary

6) complementary

7) supplementary

8) neither

9) complementary

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Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?

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Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: $M-7= \frac{1}{2}(C-7)$

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

$M-7= \frac{1}{2}(C-7)$
$C-5-7= \frac{1}{2}(C-7)$
$C-12= \frac{1}{2}C-( \frac{1}{2})(7)$
$C-12= .5C-3.5$
$.5C-12= -3.5$
$.5C= 8.5$
$C= 17$

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.

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Answer:

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Step-by-step explanation:

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equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm:

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