Answer:
A'(1, 0 ), B'(1, 2 ), C'(3, - 2)
Step-by-step explanation:
using the rule, add 3 to the x-coordinate and subtract 2 from the y- coordinate of the original points.
A' = (- 2 + 3, 2 - 2 ) = A'(1, 0 )
B' = (- 2 + 3, 4 - 2 ) = B'(1, 2 )
C' = (0 + 3, 0 - 2 ) = C'(3, - 2 )
Let x and y be the two numbers. Then
yx=57 and x−y=20
Cross multiplying the proportion
5x=7y or y=75x
So, x−y=20
x−75x=20⇒77x−5x=72x=20
⇒x=2140=70
y=75x=75×70=50
So smaller number is 50.
Check :yx=5070=57 and 70−50=20
Answer: Congruence essentially means that two figures or objects are of the same shape and size. Similarity means that two figures or objects are of the same shape, though usually not of the same size.
16.23
Use cosine to solve.
cos = adjacent / hypotenuse
cos 52 = 10 / x
(x = AB)
(cos 52)(x) = 10
x = 10 / (cos52)
x = 10 / 0.616
x = 16.2338
AB = 16.23
bye