Compare the modeld for one third and two sixths

Mathematics

1 answer:

DochEvi [55]3 years ago

4 0

1/3 is equal to 2/6
This is because 1/3 converted to 6ths you have to multiply 1/3 times 2 which equals 2/6
1/3 = 2/6

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The midpoint of AB is M (5, 6). If the coordinates of A are (3, 8), what are the

viktelen [127]

Answer:

(7, 4)

Step-by-step explanation:

$\text{Let the coordinates of B } = x_{B} , y_{B} \\\text{Let the coordinates of A} = x_{A} , y_{A} \\\text{Let the coordinates of midpoint M} = x_{M} , y_{M}$

By the midpoint formula,
$(x_{M},y_{M}) = (\frac{x_{A} + x_{B}}{2} , \frac{y_{A} + y_{B}}{2} )$

$x_{M} = \frac{x_{A} + x_{B}}{2} \\y_{M} = \frac{y_{A} + y_{B}}{2} \\$

We have coordinates of midpoint as (5, 6) and coordinates of A as (3,8)
So
$5 = \frac{3 + x_{B}}{2} \\\\\\textrm{Cross-multiplying } 10 = 3 + x_{B}} \textrm{ or } x_{B} = 10-3 = 7\\$

$6 = \frac{8 + y_{B}}{2} \\\\\\\\textrm{Cross-multiplying } 12 = 8 + y_{B}} \textrm{ or } y_{B} = 12-8 = 4\\$

So coordinates of B are (7,4)

3 0

2 years ago

Find the missing side length of S

rjkz [21]

Answer:

s=12

Step-by-step explanation:

Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.

$\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12$