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True [87]
2 years ago
10

Select the reason that best supports statement both 2 and 8 in the given proof.​

Mathematics
1 answer:
LenKa [72]2 years ago
7 0
It’s probably 10 given proof
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What can you conclude about DB
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WILL MARK THE CORRECT ANSWER BRAINLIEST!<br><br> Select all the correct answers:
stepladder [879]

Answer:

B, D

Step-by-step explanation:

Solve all equations:

A.

x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4

This is false equality, so this equation has no solutions.

B.

x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

C.

\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}

This equation has the unique solution.

D.

3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

E.

x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3

This equation has the unique solution.

8 0
3 years ago
Sam is practicing long track speed skating at an ice skating rink. The distance around the rink is 250 yards. He has skated arou
goldenfox [79]

Answer:

He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles

Step-by-step explanation:

In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.

We proceed as follows;

First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards

Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.

Mathematically, 1 mile = 1760 yards

3 miles = 3 * 1760 = 5,280 yards

To know the number of yards he need to skate more, we simply carry out a subtraction;

5,280 yards - 1250 yards = 4,030 yards

5 0
3 years ago
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