Answer:
x = 60
Step-by-step explanation:
The two angles shown here are known as corresponding angles. This means they both equal the same amount of degrees. Knowing this, we can set up an equation:
2x + 15 = 135
2x = 120
x = 60
Therefore, x = 60
You can check your answer by substituting the answer for x:
2(60) + 15 = 135
120 + 15 = 135
135 = 135
Answer:
$91.75
Step-by-step explanation:
She earns $2.15 an hour and worked 20 hours this week so
20 × 2.15 = 43 and she earned 15% tip off the meals she served
to calculate how much 15% of 325 does we multiply 325 with 15 and divide it with 100
325 × 15 ÷ 100 = 48.75
48.75 + 43 = 91.75
G(10) = 21
You plug in 10 and multiply it with 2, then add 1, which you’ll get 21.
Answer: Choice E
multiply to give a*c and add to get b
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This is known as the AC factoring method based on how you multiply the first and last coefficients (a and c) and use that product to figure out which factors add to the middle coefficient.
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An example:
6x^2 + 35x + 50
We have a = 6, b = 35, c = 50
Multiply a and c and we get: a*c = 6*50 = 300
We need to find factors of 300 that pair up and add to 35
Through trial and error you should find,
15 * 20 = 300
15 + 20 = 35
The two numbers are therefore 15 and 20.
So we break 35x into 15x+20x and use the factor by grouping method
6x^2 + 35x + 50
6x^2 + 15x + 20x + 50
(6x^2 + 15x) + (20x + 50)
3x(2x + 5) + 10(2x + 5)
(3x + 10)(2x + 5)
We see that 6x^2 + 35x + 50 factors to (3x + 10)(2x + 5)
Use the FOIL method or the box method or distribution to help see that (3x + 10)(2x + 5) expands back to 6x^2 + 35x + 50.
Yes, the rates are equivalent
