Which point in a triangle is equidistant from the vertices of the triangle?

Answers

Answer 1

Answer: Since a point equidistant from two points lies on the perpendicular bisector of the segment determined by the two points, the circumcenter (labeled below) is the point of concurrency of the three perpendicular bisectors of each side of the triangle.

Answer 2

Answer:

Answer: The point of intersection of the perpendicular bisectors. On plato its C.

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Write the explicit formula for the sequence. -1, 4, -16, 64,...

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Answers

Answer:

$a_(n)$ = 5 $a_(n-1)$

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms, that is

r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5

Thus the sequence is geometric with recursive formula

$a_(n)$ = 5 $a_(n-1)$

What's the answer too x+7/7x+35*x^2-3x-40/x-8

Answers

$(x+7)/(7x+35)\cdot(x^2-3x-40)/(x-8)=(*)\n\nx^2-3x-40=0\na=1;\ b=-3;\ c=-40\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-3)^2-4\cdot1\cdot(-40)=9+160=169;\ \sqrt\Delta=√(169)=13\n\nx_1=(3-13)/(2\cdot1)=(-10)/(2)=-5;\ x_2=(3+13)/(2\cdot1)=(16)/(2)=8\n\nx^2-3x-40=(x+5)(x-8)\n\n(*)=(x+7)/(7(x+5))\cdot((x+5)(x-8))/(x-8)=(x+7)/(7)=(x)/(7)+(7)/(7)=(1)/(7)x+1\n\nD:x\neq-5\ \wedge\ x\neq8$

HELP!!!!!Select all the true statements give the figure

Answers

Step-by-step explanation:

Hey there!

Your answer is Option B and C.

For optionB:theexterior angleisequal tosumoftwo oppositeinterior angles.(theorem oftriangle).

ForOptionC:angle4andangle3is180°(i.e angle 3+angle4=180°)Or(angle4=180°-angle3).

Therefore,answer:OptionBandC.

Hope it helps...

A tour company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable.

Answers

The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that company for largegroups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.

Let's consider n be the number of people going on the tour.

Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;

200+25n ≥1650

To solve for n;

200+25n=1650

25n=1450

n=58

Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

Learn more about inequalities here:

brainly.com/question/27425770

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Answer:

200+25n=1650

n=58

Step-by-step explanation:

200+25n=1650

25n=1450

n=58

HELP PLEASSEEE QUICKLYY IM BEGGINGTrain A and Train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 4h. Train B reaches station B after 3 1/2 h. Station A and Station B are 562.5 mi apart. What is the rate of the trains?

Answers

Hope this helps. If not lmk

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

Answers

This process is:

Distribute of the Negative Sign:
5t+t−3+−1(7t+5−(8−3t))
5t+t+−3+−1(7t)+(−1)(5)+(−1)(−8)+−1(3t)
5t+t+−3+−7t+−5+8+−3t
Now simple, Just Combine Like Terms:
5t+t+−3+−7t+−5+8+−3t
(5t+t+−7t+−3t)+(−3+−5+8)
−4t

-4t would be the answer.

~Evie

I presume that this is talking about simplification with the rule of PEMDAS. First, look at the parenthesis and brackets. Let's do the [(7t + 5) - (8 - 3t)] part first. The parenthesis can go away on the inside if you distribute the negative in (8 - 3t), which flips the signs of those. You should then have [7t + 5 - 8 + 3t], then work it out to form just (10t - 3). The negative will also carry for the brackets that were there before, so - (10t - 3) turns into -10t + 3. Now, you just have 5t + t - 3 - 10t + 3. Work that out to get your final answer of -4t.

-4t is the answer.

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