The perimeter of a rectangular picture frame is 120 inches. The length of the picture frame is 10 inches more than the width. Fi
1 answer:
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Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
feet tall
Step-by-step explanation:
Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number .
His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.
So, this is just a subtraction problem:
To solve this, we want to convert 5 1/4 into an improper fraction, which is: . Now, we want to find a common denominator. In this case, that common denominator is 8, so
.
Finally, we subtract 3/8 from 42/8: . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4
.
Therefore, Ajax's sister is feet tall.
Hope this helps!