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dsp73
3 years ago
10

Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service, 110 is for Internet service, and 29 is for u

tilities. If the rest of the total amount is for food, how much does Karen have for food? PLZ HELP ME!
Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0
$257 is the answer I got I hope it's right
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Compute and compare the side lengths of the two figures. Does this support an argument claiming that they are congruent? What el
Sunny_sXe [5.5K]
We compute for the side lengths using the distance formula √[(x₂-x₁)²+(y₂-y₁)²].

AB = √[(-7--5)²+(4-7)²] = √13
A'B' = √[(-9--7)²+(0-3)²] = √13

BC = √[(-5--3)²+(7-4)²] = √13
B'C' = √[(-7--5)²+(3-0)²] =√13

CD = √[(-3--5)²+(4-1)²] = √13
C'D' = √[(-5--7)²+(0--3)²] = √13

DA = √[(-5--7)²+(1-4)²] = √13
D'A' = √[(-7--9)²+(-3-0)²] = √13

The two polygons are squares with the same side lengths. 

But this is not enough information to support the argument that the two figures are congruent. In order for the two to be congruent, they must satisfy all conditions: 
1. They have the same number of sides.
2. All the corresponding sides have equal length.
3. All the corresponding interior angles have the same measurements.

The third condition was not proven.
6 0
3 years ago
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2 years ago
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Find the midpoint of the line segment shown below.
balu736 [363]

Answer:

x²-6x+y²-4y=-4

Step-by-step explanation:

We know the circle equation stands like this:

(x-a)² + (y-b)² = R²

and (a,b) is center

and R stands for Radius

so in this case:

center = (3,2)

R = 3

So

(x-3)² + (y-2)² = 9

x²-6x+9 + y²-4y+4=9

x²-6x+y²-4y=-4

7 0
3 years ago
I need help in my homework here it is <br><br> Solve the equation for x.<br> x3 = 729
Andrej [43]

x3=729

729/3= 243

x=243

6 0
3 years ago
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A rectangle has an area of 270m2.
Papessa [141]
X * 3 = 270
Solving for x, x = 90

So one side is 90m and the other is 3m.
Now find entire perimeter 90+90+3+3=180+6=186m
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2 years ago
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