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sineoko [7]
3 years ago
6

A and B are supplementary angles. If A = (5x + 27)° and B = (5x – 7)º, then find the measure of angle A.​

Mathematics
1 answer:
vazorg [7]3 years ago
3 0

Answer:

x=16

(5x + 27)° =5(16)+27=80+27=107

(5x – 7)º= 5(16)-7=80-7=73

Step-by-step explanation

supplementary angle=180

(5x + 27)° +  (5x – 7)º=180

5x+27+5x-7=180

10x+20=180

10x=180-20

10x=160

x=160/10

x=16

(5x + 27)° =5(16)+27=80+27=107

(5x – 7)º= 5(16)-7=80-7=73

107+73=180

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chubhunter [2.5K]

Answer:

After 2009 the quality of the forests in this country improving.

Step-by-step explanation:

Consider the provided function.

f(t) = \frac{1}{3}t^3-\frac{5}{2}t^2 + 80

f'(t) = t^2-5t

Substitute f'(t)=0.

t^2-5t=0

t(t-5)=0

t=0\ or\ t=5

It is given that  (0 ≤ t ≤ 10)

The test interval are (0,5) and (5,10)

For (0 < t < 5) the value of f'(t)

For (5 < t < 10) the value of f'(t) >0

Hence, the function is increasing from (5,10).

t = 0 corresponds to 2004.

Therefore, after 2009 the quality of the forests in this country improving.

7 0
3 years ago
What is the store paid $75 for a clarinet and sold it for $100 did the store mark up the price by 30% what the answer
nevsk [136]

Answer:

Mark up  = 33.33%

Step-by-step explanation:

Given that:

buying price = $75

selling price = $100

First we will find the difference between two prices:

Difference = 100 - 75 = $25

We will find now that 25 is what percent of 75 so:

=25/75* 100

=  0.333333 * 100

= 33.33%

So the store marked the price by 33.33% instead of 30%

i hope it will help you!

3 0
3 years ago
Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24​
Marat540 [252]

Answer:

No solution

Step-by-step explanation:

<h3>Solving system of linear equations:</h3>

 7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\

\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}

\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq  \dfrac{c_1}{c_2}

So, the lines are parallel and has no solution

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2 years ago
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nexus9112 [7]
If the line has a slope of -9, the slope of any parallel line will also be -9.
Parallel lines always have the same slope.
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3 years ago
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Since both 3x and 6x have the variable x in it, we can just go ahead and add 3 and 6.

3x+6x=9x
4 0
3 years ago
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