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Alika [10]
3 years ago
7

Which theorem explains why the circumcenter is equidistant from the vertices of a triangle

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
5 0
The circumcenter is the center of the circle which goes through the three vertices of the triangle. Recall that all radii of a circle are congruent, i.e. equal to one another. So this is why the circumcenter is equidistant from the vertices of the triangle. 
Brut [27]3 years ago
3 0

Answer:

The proof is explained in step-by-step explaination.

Step-by-step explanation:

Circumcenter is the point at which the perpendicular bisector of sides of triangle intersects inside the circle.

This points lies inside the triangle as well as circle and the vertices of triangles lies on the circle. As a result the distance from circumcenter and vertices is called to be radius of the circle which is always equidistant from the center.

Hence, circumcenter is equidistant from the vertices of a triangle.  

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Solve the equation. -7 = -1 + x/3
pochemuha

Answer:

x= -18

Step-by-step explanation:

We want to isolate x ( move everything to the other side of the equation)

-7 = -1 + x/3

-6 = x/3

x= 3*-6

x= -18

6 0
3 years ago
Read 2 more answers
(please show work!!!)
dmitriy555 [2]
The variable “x” can be defined as the price of regular gas.
The equation is x = x - (.02)7
x = x - (.02)7
(.02)7 = .14
x = x - .14
 X - X = nothing so it just leaves you with -.14
The answer is that the gas price changed by a total of - 14 cents or -0.14
7 0
3 years ago
Match the two numbers with their least common multiple
Darya [45]

8 -<u> 8</u>, 16, 24, 32, 40, 48  

4 - 4, <u>8</u>, 12, 16,

So the LCM of 8 and 4 are C) 8

8 - 8, 16, <u>24</u>, 32, 40, 48

6 - 6, 12, 18,<u> 24</u>, 30

So the LCM of 8 and 6 are A) 24

8 - 8, 16, 24, 32, <u>40</u>, 48

10 - 10, 20, 30, <u>40</u>, 50

The LCM of 8 and 10 are B) 40

Hope this Helps!!

3 0
3 years ago
During a store's closing sale, everything is 65% off. Vikram goes into the store to buy a shirt and a pair of pants, and spends
saw5 [17]

Answer:

without the sales, he would have spent $44.57

Step-by-step explanation:

Let the amount he would have spent without the sales be x. Now, if there is a 65% discount, what this means is that he is exactly paying for 100 - 65% = 35%

Now, it is this 35% of X that is equal to the amount he paid

Thus, mathematically, we have the following;

35/100 * x = 15.60

35x = 15.6 * 100

35x = 1560

x = 1560/35

x = $44.57

This means that without the sales discount, he would have paid $44.57

5 0
3 years ago
What is the rotation that translates AWXY to AW'X'Y'? Be sure to give the degre
oee [108]

The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.

<h3>What is a rotation in math?</h3>

Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.

Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.

Learn more about translation at:
brainly.com/question/1574635
#SPJ1

4 0
2 years ago
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