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3 years ago

The ratio of the measures of three angles is 3:8:9. find the measure of each angle of the triangle.

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

To solve this problem you must apply the proccedure shown below:

1. You have that the ratio of the measures of the three angles is $3:8:9$

2. The sum of the interior angle of a triangle is $180degrees$

3. Let's say that the measure of each angle is $x$ multiplied by the ratio. Therefore, you can write the following equation and solve for $x$ :

$3x+8x+9x=180\\ x=9$

4. Therefore, the measure of each angle is:

$3(9)=27degrees\\ 8(9)=72degrees\\ 9(9)=81degrees$

The answer is: $27degrees, 72degrees,81degrees$

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Solving multi step equations

hichkok12 [17]

The no-brain way to do it is to

subtract one side from both sides so you have (something) = 0.
divide by the coefficient of the variable.
add the opposite of the constant.

Of course, at some point, you need to simplify the equation so you have something like

... ax + b = 0 . . . . . . where a and b are some constants that may be positive or negative

17) Subtract the right side.

... 10(x +3) -(-9x -4) -(x -5 +3) = 0

... 10x + 30 +9x +4 -x +5 -3 = 0 . . . . . eliminate parentheses

... x(10+9-1) +(30+4+5-3) = 0 . . . . . . . collect terms

... 18x +36 = 0 . . . . . . . . . . . . . . . . . . . simplified

... x + 2 = 0 . . . . . . . . . . . . . . . . . . . . . .divide by 18, the coefficient of x

... x = -2 . . . . . . . . . . . . . . . . . . . . . . . . add the opposite of the constant

19) Add the opposite of the left side.

... 0 = -9(1 +7x) +12(x -12)

... 0 = -9 -63x +12x -144 . . . . . . eliminate parenthses

... 0 = -51x -153 . . . . . . . . . . . . . simplify

... 0 = x +3 . . . . . . . . . . . . . . . . . divide by -51, the coefficient of x

... -3 = x . . . . . . . . . . . . . . . . . . . add the opposite of the constant

_____

If you examine the variable's coefficients you can make a choice of side to subtract that results in a positive coefficient of the variable.

This method puts variable and constant together until the end. The approach usually taught is to separate the variable terms and constant terms. (The number of steps required is the same either way.)

The reason this is "no brain" is that it always works and requires no judgment as to what you add or subtract from where. Applying a little judgment as described above can make it so you're mostly working with positive numbers, but the method works whether the numbers are positive or negative.

6 0

3 years ago

FREE BRAINLY TO THE CORRECT ANSWER!!

Lyrx [107]

Answer: -3

Step-by-step explanation:

y = mx + b (slope intercept formula)

9x - 3y = -54

-3y = 9x - 54

Divide all by -3

y = -3x + 18

Slope = -3

Hope this helps!

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3 years ago

Drag each sequence to show whether it is a linear function, an exponential function, or

Sergeu [11.5K]

Answer:

Step-by-step explanation:

From the picture attached,

Option A

From the given table,

Ratio of the 2nd value and 1st value = $\frac{8}{4}=2$

Ratio of 3rd value and 2nd value = $\frac{16}{8}=2$

There is a common ratio of 2.

Therefore, the given table will represent an exponential function.

Option B

Given recursive formula of the sequence is,

$A_1=3$

$A_n=5.A_{n-1}$

From this recursive formula sequence will be,

3, 15, 75, 375,.......

Therefore, it's an exponential function.

Option C

$F_n=3n+17$

Given function is in the form of a linear function (y = mx + b),

Therefore, it's a linear function.

Option D

From the given table,

Difference between 2nd value to the 1st value = 8 - 4 = 4

Difference between 3rd value to the 2nd value = 12 - 8 = 4

Therefore, there is a common difference of 4 in each successive term to the previous term.

Hence, the given table represents a linear function.

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3 years ago

Read 2 more answers

Let f (x)=x-2 and g(x)=x to the second power -7x-9.find f (g(-1))

Degger [83]

f(g(-1)) = - 3

Evaluate g(-1) and substitute into f(x)

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f(g(-1)) = (-1) - 2 = - 3

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3 years ago

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pishuonlain [190]

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3 years ago