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irakobra [83]
3 years ago
5

In the parallelogram below find why

Mathematics
1 answer:
Mkey [24]3 years ago
8 0
Angle E=130degrees because those two are congruent. Therefore if you 180-130 you'll get the other angle in the triangle with 70degrees and y. 180-130=50degrees. Then add 50 and 70. 50+70=120degrees. A triangle is supposed to have 180 degrees inside.
180-120=60degrees.
Therefore y=60degrees
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HELP ILL GIVE BRAINLIEST
Nikitich [7]

Problem 1

To begin with, Aldi has 0 mg of the medicine in his bloodstream.

Then Haidar gives her dog 150 mg of the medicine.

The day progresses along and at the end of the day, 40% of the medicine remains. So 0.40*150 = 60 mg remains.

At the start of day 2, Haidar gives another 150 mg dose. The 60 mg bumps up to 60+150 = 210 mg. This becomes 0.40*210 = 84 mg at the end of day 2.

At the start of day 3, she gives her dog yet another 150 mg dose. So the 84 increases to 84+150 = 234. This decays to 0.40*234 = 93.6 mg at the end of day 3.

Finally, at the start of day 4, the 150 mg dose bumps the 93.6 up to 93.6+150 =  243.6 mg, which then decays to 0.40*243.6 = 97.44 mg.

Here's a table to summarize everything

\begin{array}{|c|c|c|c|} \cline{1-4}
& \text{Start} & \text{When meds are given} & \text{End}\\ \cline{1-4}
\text{Day} & \text{x} & \text{y = 150+x} & \text{z = 40\% of y }\\ \cline{1-4}
\text{1} & \text{0} & \text{150} & \text{60}\\ \cline{1-4}
\text{2} & \text{60} & \text{210} & \text{84}\\ \cline{1-4}
\text{3} & \text{84} & \text{234} & \text{93.6}\\ \cline{1-4}
\text{4} & \text{93.6} & \text{243.6} & \text{97.44}\\ \cline{1-4}
\end{array}\\
\text{All values in the table are amounts in mg}

================================================

Problem 2

The first term is a_1 = 0 to indicate the dog has 0 mg of medicine in his bloodstream to start off with.

Then we add on 150 mg to that amount, and take 40% of the sum.

This indicates that a_2 = 0.40(150+a_1)

Similarly,

a_3 = 0.40(150+a_2)

and so on.

In general, we have this recursive definition

\begin{cases}
a_1 = 0\\
a_n = 0.40(150+a_{n-1})
\end{cases}

The a_n refers to the nth dose while a_{n-1} is the dose amount just before the nth dose.

This sequence is neither arithmetic nor geometric.

It's not arithmetic because we aren't adding the same number to each term to get the next term. It's not geometric because we aren't applying the same common ratio to multiply from term to term.

The mix of "plus 150" and "times 0.40" is almost like this is a hybrid of arithmetic and geometric respectively. However, it's not purely one or the other.

3 0
2 years ago
Read 2 more answers
Qualified individuals are allowed to begin drawing reduced Social Security retirement benefits at what minimum age?
Westkost [7]
62 is the minimum. 62 is when you may begin receiving 75% of your monthly benefit. At 65 you get 93.3% of your monthly benefit.
5 0
3 years ago
Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

3x+1=0\\3x=-1\\x=-\frac{1}{3}

The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
3 years ago
-4n + 9 = -2 (2n -1) +7
valentina_108 [34]
I got u.


-4n + 9 = -4n + 9
4 0
3 years ago
Read 2 more answers
The GCF of two different numbers is greater than the LCM of the numbers
Mkey [24]
Yes, because GCF is the greatest common factor

5 0
3 years ago
Read 2 more answers
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