Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
Answer:
100
Step-by-step explanation:
5×4=20
5×15=100
therefore 15 cups of flour can make 100 biscuits
Answer:
55.5
Step-by-step explanation:
find the median - in this case it's 60
then group the upper and lower halves of the data:
(11, 19, 35, 42) 60 (72, 80, 85, 88)
now we find the medians of those sets:
35 + 19/2 = 54/2 =27
80 + 85/2 = 165/2 = 82.5
then subtract those two medians to find the interquartile:
82.5 - 27 = 55.5
Answer:
130 yd^2
Step-by-step explanation:
First we find the area of the triangle
A = 1/2 b h where b is 10 and h= 6.25
A = 1/2 (10) * 6.25
= 31.25 yd^2
Then we find the area of rectangle A
A = l*w where l is 10 and w = (7.5-2.5) = 5
A = 10 * 5
= 50 yd^2
Then we find the area of rectangle B
A = l*w where l is 6.5 and w = 7.5
A = 6.5 * 7.5
= 48.75 yd^2
The total area is found by adding them together
A triangle + rectangle A + rectangle B
31.25+50 + 48.75
130 yd^2
