Answer:
c This is the direct variation
Step-by-step explanation:
The equation for direct variation is y= kx
Solving this for k
y/x =k
So y/x must be a constant
a. 9/3 =3
2/7 does not =3 so this is not a direct variation
b 1/2 = .5
-3/6 = -.5
This is not the same so this is not a direct variation
c. 27/9 =3
18/6 =3
9/3 =3
This is a direct variation with a constant of 3
d 5/-7 = -5/7
1/-3 = -1/3
This is not the same so this is not a direct variation
Answer:
X'Y' ≅ XY
∠Z ≅ ∠Z'
Step-by-step explanation:
we know that
A transformation that does not alter the size or shape of a figure is called a <u><em>Rigid Transformation</em></u>
Translations, rotations and reflections are rigid transformations
<u><em>Verify each statement</em></u>
case 1) X'Y' ≅ XY
The statement is true
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding sides of the image and the pre-image are congruent
case 2) ∠Z ≅ ∠Z'
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding angles of the image and the pre-image are congruent
case 3) ΔXYZ is not congruent to ΔX'Y'Z'
The statement is false
Because
ΔXYZ is congruent to ΔX'Y'Z'
case 4) Reflecting and translating the triangle change its shape and size
The statement is false
Because
Reflecting and translating the triangle not change its shape or its size
Maddison bought 2 oranges which cost ($.60 x 2 = $1.20) $1.20 total. Ronald bought 4 apples which cost ($.50 x 2 = $2.00). Now if we compare the difference between how much Ronald and Madison have spent so far we see that Ronald has spent $.80 more than Madison ($2.00-$1.20 = $.80). That means that Madison has $.80 more cents to spend on bananas than Ronald. We know that Madison buys 2 more banana than Ronald. So 2 bananas must cost $.80 cents. Divide the 80 cents by the 2 bananas and you figure out that each banana costs $.40 cents. ($.80 / 2 = $.40). To check that this math is correct next add $.40 cents for each banana to the amount of the other fruits they bought. So Madison bought 2 oranges ($1.20) and 3 bananas($.40 x 3 = $1.20) which together costs $2.40 total ($1.20 + $1.20). Ronald bought 4 apples ($2.00) and 1 banana ($.40) which together cost $2.40 ($2.00 + $.40 = $2.40. We can see that if the bananas cost $.40 cents each, Madison and Ronald will end up spending the same amount.
It will take her 10 weeks to save enough money. 350-180=170 170/17=10 Hope this helps!
