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user100 [1]
3 years ago
11

Write the inverse of the conditional statement. Determine whether the inverse is true or false. If it is false, find a counterex

ample.
An equilateral triangle has three congruent sides.
Select one:
A. A non-equilateral triangle has three congruent sides. False; an isosceles triangle has two congruent sides.

B. A figure that has three non-congruent sides is not an equilateral triangle. True

C. A non-equilateral triangle does not have three congruent sides. True

D. A figure with three congruent sides is an equilateral triangle. True
Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

C. A non-equilateral triangle does not have three congruent sides. True

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Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
Vikki [24]
The equation of the circle: (x-a)^2+(y-b)^2=r^2

where:
(a; b) - coordinates of the center
r - a radius

Use: (a\pm b)^2=a^2\pm2ab+b^2\ \ \ \ (*)

We have:

x^2-4x+y^2+8y=-4\\\\x^2-2x\cdot2+y^2+2y\cdot4=-4\ \ \ |add\ 2^2\ and\ 4^2\ to\ both\ sides\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=-4+2^2+4^2\\\\(x-2)^2+(y+4)^2=-4+4+16\\\\(x+2)^2+(y-4)^2=16\\\\(x+2)^2+(y-4)^2=4^2

Answer:
The center: (-2; 4)
The radius: r = 4
7 0
3 years ago
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Find the unit rate. 12 laps in 30minutes. <br> Asking for fraction
11Alexandr11 [23.1K]

Answer:

4/10 maybe cuz 12 divided by 30 is 0.4 and 0.4 would be 4/10

7 0
3 years ago
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How ol
wlad13 [49]

Answer:

The answer is A.

Step-by-step explanation:

Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.

Hope this helps!

8 0
3 years ago
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-4.6+5.3 help please thank you are the best
fomenos

Answer:

0.7

Step-by-step explanation:

6 0
3 years ago
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Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.
Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = x^2

f(g(x)) = 2x^2+2.

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

7 0
3 years ago
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