Answer:
1. is a 30 60 90 triangle so x = 30
pardon my bad handwriting for below
2.
STEP 1: subtract the angle you have from 180
STEP 2: add your x values together, if there is a non x number (such as + 10) balance it out on the other side by adding or subtracting
STEP 3: divide so that x has no coeffecient in front of it
STEP 4: substitute x values with the value you got
STEP 5: verify by adding the angles you got, it'll be correct if it equals 180
Answer:
i believe the answer is 332
Step-by-step explanation:
basically what i did was divide 3 and 996. when you do that it will let you know the estimate number of the number times she got number 3 on the die.
Answer:
-3
Step-by-step explanation:
Slope is rise divided by run. Y2-Y1 Divided by X2-X1
You get 6 divided by -2
-3
Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
