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balu736 [363]
2 years ago
5

In the figure, c || d. what are the measures of angle 1 and angle 2?

Mathematics
1 answer:
dusya [7]2 years ago
8 0

Answer:

Angle 1 = 105

Angle 2 = 75

Step-by-step explanation:

Angle 2 and angle 75 are corresponding angles.

Corresponding angles are equal.

So,

Angle 2 = 75

Angle 1 and angle 2 are linear pair angles.

Angle 1 + Angle 2 = 180

Angle 1 + 75 = 180

Angle 1 = 180 - 75

Angle 1 = 105

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When I add a number to another number four times as big, the result is 30. find the first number
Alex73 [517]

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

3 0
3 years ago
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On average, 6 traffic accidents occur every 3 months at a certain intersection.
lions [1.4K]
The answer to this question is 2/3.
3 0
3 years ago
In which choice is y not a linear function of x?
Nadya [2.5K]

Answer:D

Step-by-step explanation:

In d the x’s cancel out so y is not a function of x anymore!

3 0
3 years ago
12 is what percentage of 80
PIT_PIT [208]

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Step-by-step explanation:

_______________________________

12 = (n/100) * 80 ;

12 = (80n) /100 ;  Solve for "n:

Note:  80/100 = (80/10) / (100/10) = (8/10) = 0.8  ;

12 = (0.8)n  ;

↔ (0.8n) = 12

Multiply each side of the equation by "10" ; to get rid of the "decimal" ;

 10 * (0.8n) = 10 * 12 ;

to get:

_______________________________

8n = 120 ;

Divide each side of the equation by "8" ;

to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;

8n/8 = 120/ 8 ;

_______________________________

to get:

_______________________________

n = 15 .

_______________________________

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Hope this helps!

Best wishes!

_______________________________

4 0
3 years ago
If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?
SCORPION-xisa [38]
<h3>Answer: 31 games</h3>

======================================================

Explanation:

  • 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
  • 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
  • 8/2 = 4 games happen in round 3.
  • 4/2 = 2 games in round 4.
  • 2/2 = 1 game as the final championship.

Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

16+8+4+2+1 = 31

----------------

Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1

which is equivalent to

\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1

3 0
3 years ago
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