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antoniya [11.8K]
3 years ago
11

if pentagon abcd was reflected over the axis y-axis, reflected over the x-axis, and rotated 180, where would be point A' lie

Mathematics
1 answer:
frez [133]3 years ago
4 0
A reflection over the x axis coupled with another reflection over the y axis leads to a rotation of 180 degrees. 

In other words,

Start with point A. Reflect over the x axis to get point B. Reflect B over the y axis to get point C. To go from A to C, we can rotate A 180 degrees about the origin.

----------------

So this means that if we do those reflections and then do the rotation, then we end up back where we started. Wherever point A is located, the point A' will also be located at the same position with the same coordinates. 
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16 feet perimeter 5 feet long what is the width
miskamm [114]
P=2L+2W
L=Length
W=Width
P=Perimeter=16
So you have:
16=2×5+2w
Multiply 2 and 5 and get:
16=10+2w
Subtract 10 from both sides and get:
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Divide by 2 and get:
3=W
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Selecciona la opción que relaciona con las jergas juveniles
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Step-by-step explanation:

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3 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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7 0
2 years ago
HELP I NEED THIS ANSWERED QUICK!​
prisoha [69]

Answer:

d is correct

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which term of the Ap: 3,8,13,18.......is 78?<br>​
Alex Ar [27]

Answer:

             \bold{a_{16}=78}

Step-by-step explanation:

a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16

4 0
3 years ago
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