Given:
<span>∠SRT ≅ ∠STR,
m∠SRT = 20,
m∠STU = 4x
Since </span>∠SRT ≅ ∠STR, then m∠STR = 20.
m∠STR + m∠STU = 180°
20 + 4x = 180
4x = 180 - 20
4x = 160
4x/4 = 160/4
x = 40
The value of x is 40.
I hope this is what you're looking for.
Answer:
444 thumb drives
Step-by-step explanation:
Break even is the point at which the proceeds are equal to the costs i.e. when Total cost = Total revenue. So using the equations provided, the breakeven point for Burnem Inc. will be 4x + 4884 = 15x, where x is number of thumb drives. We solve for x to get the answer:
4x + 4884 = 15x
4884 = 15x - 4x
4884 = 11x
x = 4884/11
x = 444 thumb drives
Answer:
20(x+15)(x+10)
Step-by-step explanation:
Hi there!
As your question states, we need to fully factor the polynomial: 20x²+500x+3000
These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor
the GCF is 20
so factoring 20 out of the polynomial will get:
20(x²+25x+150)
As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.
Now use FOIL to factor x²+25x+150 into 2 binomials
25 is the sum of the last terms
150 is the product of the last terms
think: which two numbers add up to 25 but multiply to get 150?
those two numbers are 15 and 10
x²+25x+150 factored is (x+15)(x+10)
but remember we have the 20 in front of x²+25x+150 (or now, (x+15)(x+10))
therefore the fully factored binomial is 20(x+15)(x+10)
Hope this helps! :)
The mixture will test negative if the 6 individuall samples are negative.
Ther probability that one sample is negative is independent of the probabilities of the other samples.
Then, the probability of the six combined events (all negative) is equal to the product of the probabilities for each sample (each negative).
The probability for one sample to be negative is 1 - 0.11 = 0.89.
Then, the combined probability is [0.89]^ 6 = 0.497 ≈ 0.50
Answer: 0.50
