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katrin2010 [14]
3 years ago
11

INTERPRETING EXPRESSIONS: ln the expression 9x - 9, the variable is ___

Mathematics
1 answer:
podryga [215]3 years ago
3 0
The variable is X .........
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Given α and β are Supplementary. Show the necessary steps.
user100 [1]

Answer:

\alpha = 108\degree, \: \beta = 72\degree

Step-by-step explanation:

α and β are Supplementary (given)

\therefore \alpha + \beta = 180\degree.... (1)

It is given that:

\alpha= \frac{3}{2} \beta

Plugging the value of α in equation (1), we find:

\frac{3}{2} \beta + \beta = 180\degree

\therefore  \frac{3+2}{2} \beta = 180\degree

\therefore  \frac{5}{2} \beta = 180\degree

\therefore   \beta = 180\degree\times \frac{2}{5}

\therefore   \beta = 72\degree

\implies   \alpha= \frac{3}{2} \times 72\degree= 108\degree

So,

\alpha = 108\degree, \: \beta = 72\degree

7 0
2 years ago
Dr bell donated 2(3x+60) dollars to the salvation army, 5x dollars to the church and $100 to a sport shop. If he donated a total
Andreyy89
He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550. 
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550. 
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550. 
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330. 
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.

Have a great day!!! :)
5 0
3 years ago
Use the following problem to answer the question below:
Rom4ik [11]

Answer:

m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles

Step-by-step explanation:

∵ m∠ABE = m∠CBD

∵ m∠ABD = m∠ABD + m∠DBE

∵ m∠CBD = m∠CBE + m∠EBD

∵ ∠EBD is common angle between them

∴ m∠ABD = m∠CBE

6 0
3 years ago
Michelle needs to buy some wood to build a rectangular box that is 12 inches long 8 inches wide and 10 inches high and net worth
Anettt [7]
Since it’s asking for square inches on a rectangular prism, this is solving for surface area. So we use the following formula:
2(h*w)+2(h*l)+2(w*l)=A

2(10*8)+2(10*12)+2(8*12)
2(80)+2(120)+2(96)
160+240+192
592

592 sq. in.
3 0
2 years ago
Please help will give brainliest
Olenka [21]
Give the other person brainliest just answering so they can get it
3 0
3 years ago
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