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kompoz [17]
4 years ago
11

The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measures of the angles.

Mathematics
2 answers:
Mariana [72]4 years ago
8 0

Answer:

Step-by-step explanation:

sum of ratio=2+9+4=15

1st angle=2/15×180=24°

2nd angle=9/15×180=108°

3rd angle=4/15×180=48°

elena-14-01-66 [18.8K]4 years ago
8 0

Answer:

Step-by-step explanation:

If the angles exist in a ratio, that means that if you multiply each angle by the same number, they will still exist in that same ratio.  We know that the angles of a triangle all add up to equal 180, so we can set up an equation using the numbers from the ratio and x as the unknown multiplier:

2x + 9x + 4x = 180 and

15x = 180 so

x = 12 ∴ (that means "therefore")

2x = 24,

9x = 108, and

4x = 48

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Coach Morton is going on vacation! He drives 7.5 hours at an average speed of 35mph. How many miles did he travel?
Jet001 [13]

Answer:

4.7m

Step-by-step explanation:

35/7.5

=4.7m

Am sure am correct

7 0
2 years ago
The price of a video game increases by 20%, then decreases by 10%. If the final price is $46.98,
Elena-2011 [213]

Answer:

The original price was $43.50

Step-by-step explanation:

Let

x ----> the original price of a video game

we know that

1) The price of a video game increases by 20%

so

100\%+20\%=120\%=120/100=1.20

The final price is equal to the original price multiplied by 1.20

so

1.20x

2) The price of a video game decreases by 10%

so

100\%-10\%=90\%=90/100=0.90

The final price is equal to the price at this moment multiplied by 0.90

so

0.90(1.20x)=1.08x

we have that

1.08x=46.98

solve for x

x=46.98/1.08\\x=\$43.50

4 0
3 years ago
Solve 3x-2y=2; -5x+5y=-10 by elimination
never [62]

Answer:

x=−2 and y=−4

5 0
3 years ago
Read 2 more answers
which of the following systems of inequalities would produce the region indicated on the graph below PLZ HELP NEED ASAP!!!!!!!
pentagon [3]

<span>I proceed to verify each of the cases to get the answer
</span>
using a graph tool
see the attached figures

case A)
y>x+1 
y<=10
x>=0  

case B)
y>=x+1
y>=10
x>=0

case C)
y>=x+1
y<10
x>=0

case D)
y<x+1
y<=10
x>=0

the answer is the case A)
y>x+1 
y<=10
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7 0
3 years ago
Read 2 more answers
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The
Bond [772]

Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 52

Standard deviation = 5

Between 47 and 52:

52 is the mean and 47 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

So

34% of lightbulb replacement requests numbering between 47 and 52

3 0
3 years ago
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