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sladkih [1.3K]
3 years ago
13

If three points lie on the same line, they are collinear.

Mathematics
2 answers:
Pie3 years ago
6 0

Answer:

Step-by-step explanation:

klio [65]3 years ago
4 0

Both of these are true statements. This also shows us that if 3 points are on the same line, than they are all also in the same plane.

This is known as hypothetical syllogism, or more basically put:

If a then b, if b then c. Therefore if a then c.

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Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty
Novay_Z [31]

Answer: nickels = 13, dimes = 7, quarters = 14

<u>Step-by-step explanation:</u>

First, set up the equations for each coin:

\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

   Nickels         +   Dimes  +   Quarters = Sum

(0.30 + 0.05d)  +    0.10d   +     0.50d   =  4.85

0.30 + 0.65d = 4.85

            0.65d = 4.55

                    d = 7

Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d   = 6 + (7)   = 13

quarters: 2d   = 2(7)   = 14

6 0
3 years ago
Find the measures of ∠B and ∠C. PLEASE HELP!!
BartSMP [9]

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      <em>subtract 10 from both sides</em>

2x = 3x - 15     <em>subtract 3x from both sides</em>

-x = -15     <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
8 0
3 years ago
Choose the more precise measurement. A) 32.5 lb B) 28.35 lb *​
s2008m [1.1K]

Answer:

B is the answer

Step-by-step explanation:

I hope it will help u (◕ᴗ◕✿)

8 0
3 years ago
Which type of variation is modeled in the table?
Mamont248 [21]

Answer:

the answer is probably inverse or joint or combined,really haven't seen this type of variation before

8 0
2 years ago
Find the solution of:
iogann1982 [59]
6 / (x+1) = 1/2
x +1 = 12
x = 11
Answer is d ....(11)
5 0
3 years ago
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