Step-by-step explanation:
the photo should explain
Answer:
I can only help with a, witch is -3x
Step-by-step explanation:
im sorry i cant help with b, that one i cant even figure out, and im usually pretty good with math
i hope i helped you out a little bit at least
Given that <span>a
city grid of Anytown, USA is shown on the grid below. The fire
department is represented by quadrilateral RSTU. Another fire department
is opening in a different part of the city to maximize fire protection.
The size of the new department's property must be congruent to the
older department. Vertices A and B are plotted on the grid to represent
two vertices of the new fire department quadrilateral ABCD.
Map of Anytown; the line y equals 7 is Main Road; the line y equals 3 is
Rose Lane; the line y equals negative 1 is Crystal Avenue; the line x
equals negative 4 is Brick Street; the diagonal line is Dogwood Drive;
Old Fire Department forms quadrilateral with ordered pairs R at negative
4, 7, S at negative 1, 7; T at negative 1, 3; U at negative 4, 3; A is
at 4, negative 1 and B is at 1, negative 1
Recall that t</span><span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.
For quadrilateral RSTU to be congruent to quadrilateral ABCD, then RS = AB, RU = AD, ST = BC and TU = CD
Also, the figure ABCD is a result of a rigid body translation of the figure RSTU.
Given that R is at point (-4, 7) and A is at point (4, -1), also given that S is at point (-1, 7) and B is at point (1, -1).
It can be seen that points AB is a result of refrecting points RS across the y-axis and then shifting the resulting points down by 8 units.
Thus, given point T as (-1, 3) and point U as (-4, 3), refrection of points T and U across the y-axis will result in points (1, 3) and (4, 3), then shifting the resulting points down by 8 units will result to points (1, -5) and (4, -5)
Therefore, the ordered pairs representing vertices C and D of
quadrilateral ABCD so that the new fire department is congruent to the
old fire department are C(1, -5) and D(4, -5).</span>
<span>Adrienne can make of a bracelet in hour
so 1 bracelet in 1 hour
answer: </span><span>1 bracelet</span>
Answer:
72 pieces of candy
Step-by-step explanation:
As we can see, it was AFTER the 6 boys divided the candy in the bag, each boy had 3 pieces of taffy, 2 jawbreakers, and 7 lemon drops.
In order to solve this, we have to work backwards and press rewind.
First, in order to solve this, let's just keep things simple and combine all of he piece of candy that each boy received: 3 taffies + 2 jawbreakers + 7 lemon drops = 12 pieces of candy that each boy received.
Now that we know each of the 6 boys received a total of 12 pieces of candy, let's press rewind and imagine that they all put them back into the bag.
The first boy puts 12 in the original bag, then the second leaving a total of 24 now, and the third, and so on and so forth.
Once we have the 6th boy put in his share of candy back into the bag, we're left with an original count of 72 pieces of candy.
OR
You can just take the total amount of candy each boy got (12) and multiply it to the number of boys (6) to get 72 pieces of candy.
