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alex41 [277]
3 years ago
13

HELP ME PLEASE !

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Let me start from the meaning of the term polygon.A polygon is a simple closed curve made up of three or more line segments.

Now coming to the meaning of term Rigid transformation ,It is either rotation,either Reflection,or Translation or combination of all these three.

The length of the sides of any polygon will not change i.e after rigid transformation shape and size of an object does not change.

So yes if two polygons are congruent ,they can always be mapped onto one through a series of rigid transformation i. Reflection,Rotation, or translation or combination of these.

Reflection takes place through a line.While Rotation means rotating a polygon through any angle, and translation means changing the coordinates of the polygon i.e certain integral value. You can Rotate the shape by any angle,and while translating you have to change the coordinate of each vertices by the same integral value.

In Reflection distance of the image from the line above or below is same.In rotation if you are rotating a polygon by an angle 0f 30° or 60° or 180°,the shape and size does not change but you are just rotating the shape. And in transformation you just take the shape or polygon by changing certain distance or when we consider two dimensional plane then by changing its coordinates without changing its shape and size.

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Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil
4vir4ik [10]

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours ,  Maddox monthly income wages = $1760

so  for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A


8 0
3 years ago
Read 2 more answers
Simplify the exponential expression.
olga_2 [115]

The solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

E =  (v²)(m⁴)/(v²)(m³)

Divide v² by the same term v².

E = (m⁴)/(m³)

E = m

Therefore, the solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.

To know more about expression follow

brainly.com/question/723406

#SPJ1

8 0
2 years ago
I sent a photo of question pls help
statuscvo [17]
Answer should be 2, 7/2 hopefully this helped ^^
3 0
2 years ago
Which equation has the same soultions as x^2+6×-7=0
blagie [28]
x^2+6x-7=0 \\   a=1 \\ b= 6 \\ c=-7 \\ \\  \boxed{\boxed{\Delta=b^2-4ac}} \\ \\ \Delta=6^2-4*1*(-7) \\ \Delta=36-(-28) \\ \Delta=64 \\ \Delta\ \textgreater \ 0 \Rightarrow \text{we have 2 solutions :} X_1 \ and X_2 \\ \\ \boxed{X_1= \frac{-b- \sqrt{\Delta} }{2a} } \Rightarrow X_1= \frac{-6-8}{2}=-7 \\ \\ \boxed{X_2= \frac{-b+ \sqrt{\Delta} }{2a} } \Rightarrow X_2= \frac{-6+8}{2} =1
4 0
3 years ago
If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?
Fittoniya [83]
Step 1: Find the value of one variable in terms of the other.

a+3b=7\\a=7-3b

Step 2: Substitute the value you just found for this variable in the other equation.

3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}

Step 3: Use your new value for the second variable to find the first.

a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}

Now that we know the values for a and b we can find the value of 4a+b.

4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}
6 0
3 years ago
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