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Step2247 [10]
3 years ago
14

Triangle town wants to build a school that is equidistant from its three cities L, M, and N. Which construction correctly finds

the best location of the school?
Option choices are...
A. Construction Y because point E is the incenter of ΔLMN
B. Construction Y because point E is the circumcenter of ΔLMN
C. Construction X because point C is the incenter of ΔLMN
D. Construction X because point C is the circumcenter of ΔLMN

Mathematics
1 answer:
n200080 [17]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Because I just took the test

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Can anyone solve this for me
emmainna [20.7K]

Answer:

(-2, -4.5)

Step-by-step explanation:

We can solve this equation with substitution.

x=2y+7

3x-2y=3

We can "substitute" 2y+7 for x into the second equation:

3(2y+7)-2y=3

Distribute the 3

6y+21-2y=3

Add like terms

4y+21=3

Subtract 21 from both sides

4y=-18

Divide both sides by 4 to isolate y

y=-4.5

Plug -4.5 back in for y:

x=2(-4.5)+7

x=-9+7

x=-2

(x,y)=(-2,-4.5)

7 0
3 years ago
8) A committee has fifteen members. There are two members that currently serve as the board’s chairman and vice chairman. Each m
pickupchik [31]

Answer:

The probability is    P(Z) = 0.0064

Step-by-step explanation:

From the question we are told that

  The number of members is  n = 15

Generally the number of ways of selecting two member from the fifteen members is mathematically represented as

       K  =  ^{n}C_2 *  2!

Here C stands for combination hence we will be making use of the combination functionality in our calculator

      K  =  ^{15}C_2 *  2 * 1

=>  K  =  78  *  2 * 1

=>  K  =  156

Gnerally the number of outcome that matches the outcome required by the committee(Which is  reselecting the member who where the chairman and vice chairman of the board ) is   m =  1

Generally the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and assigning them to their current positions is mathematically represented as

      P(Z) =  \frac{m}{K}

=>    P(Z) =  \frac{1}{156}

=>    P(Z) =  \frac{1}{156}      

 =>    P(Z) = 0.0064      

5 0
3 years ago
What does 5/9-1/12 equal to?
Elena-2011 [213]

\frac{5}{9}  -  \frac{1}{12}  =  \frac{5 \times 4}{9 \times 4}  -  \frac{1 \times 3}{12 \times 3}
= \frac{ 20}{36}  -  \frac{3}{36}
=  \frac{17}{36}
3 0
4 years ago
The probability that Gavyn wins a raffle is given by the expression o/p<br> .
Korolek [52]

Is there another part to this question? What should we answer?


4 0
3 years ago
The equation of the graphed line in slope point form using the point (2,-1 ) is blank and it’s equation in slope intercept is bl
valkas [14]

Answer:

y=\frac{1}{4}x-\frac{3}{2} (Slope intercept form)

y+1=\frac{1}{4}(x_-2) (Slope point form)

Step-by-step explanation:

The slope of the line can be calculated as following:

m=\frac{-1-(-2)}{2-(-2)}=1/4

The the equation of the line in slope point form is:

y-y_1=m(x_-x_1)

Where (x_1,y_1) is a point of the line.

Then you must susbtitute the point given and the slope and you obtain:

y+1=\frac{1}{4}(x_-2)

The intercept form is:

y=mx+b

Where b is the y-intercept.

Solve for y from the equation of the line in slope point form obtained above, then:

y+1=\frac{x}{4}-\frac{2}{4}\\y=\frac{1}{4}x-\frac{2}{4}-1\\y=\frac{1}{4}x-\frac{3}{2}

8 0
3 years ago
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