First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.
The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109.
To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles.
(10x+6) is angle A.
(13x-2) is angle B.
(8x-1) is angle C.
and 109 (the one we solved) is angle D.
We know that the
total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values.
Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values.
Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x.
That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C.
You get 31x. To get what x is, you divide 248 by 31.
That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas.
Check your work by plugging your answers in and seeing if they add up to 360.
Which they should:)
So...
angle A= 86
angle B=102
angle C=63
angle D=109
and x=8
Hope this helped!!!
Answer:
Math has the particularity that it is a logical construction.
This means that we can start with an expression X (where X is an equation, not a variable)
Now we can apply a lot of "math" to this equation in such a way that we can rewrite it, but the actual "meaning" of the equation will not change.
An example of this is factoring.
For example, we can write a quadratic equation as:
a*x^2 + b*x + c.
And we also can write this as:
n*(x - k)*(x - j)
where k and j are the solutions of the equation:
a*x^2 + b*x + c = 0.
What is the advantage of writing the equation in each form?
Well, both expressions actually represent the same thing, but the explicit information in each expression is different, so depending on what we want to do, we will choose one option or the other.
And we have lot's of different ways to express something, where we can find some ones really complex and useful, like the series of Taylor, where we can write a function as a summation of infinite terms.
The first one is A. And Sowy but meh don't know the second one...
lets assume one number is x
then 2nd number will be 5x-2
so product is 120
x (5x-2) = 120
5x^2 - 2x = 120
so answer is last option
Answer:
the stock is worth $110.21
Step-by-step explanation:
The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.