Exterior Angle Theorem basically says that if there's an angle that makes a 180° with one of the angles of a triangle, the other two angles of that triangle must be equal to the angle outside.
In the context of this problem, that means m∠SAB is equal to m∠B + m∠C. Putting that into an equation would look like this:
.
From here, we can solve for x with the usual methods. Here's how it would look:
.
With x being six, we can now find the angle measures of all of the angles in the problem by plugging it into the angles that have x and using our rules along with our theorems from there. Let's start with ∠C, which is 6x + 11. It would look like this:
. Now we know that m∠C is 47°, we can find the angle outside through exterior angle theorem again. We can set it up and solve it like this:
![A = 47 + 75 \\ A = 122](https://tex.z-dn.net/?f=A%20%3D%2047%20%2B%2075%20%5C%5C%20A%20%3D%20122)
So we know that the exterior angle is 122°. We also know that the interior angle (the one inside that we don't know yet) is a supplementary angle to our exterior angle (meaning that their angles add up to 180° and that they make a straight line). From this, we can find the angle by subtracting 122 from 180. This gets us 58°.
So, your angles measures are the exterior angle being 122°, the interior angle being 58°, and m∠C being 47°. Also, your x value is 6.
Answer:
3:5 is the answer of your question
9+2j=-9-j
+j
9+3j=-9
-9 -9
3j=-18
/3j /3j
j=-6
but in words that would be 9+2j=-9-j plus the j over to the 2j that becomes 3j then minus the 9 over and you get -18 so now you you have 3j=-18 divide by 3 and you get -6
A:
4y + 3 = 19
Y = 3
B:
n = 16
Please mark as brainliest!
None is necessarily true.
Even though you have your money in an interest-bearing savings vehicle, its value (purchasing power) may actually decrease if the interest rate is not at least as great as the inflation rate.
In periods of inflation, the value of money decreases over time. In periods of deflation, the value of money increases over time. It tends to be difficult to regulate an economy so the value of money remains constant over time.
The present value of money is greater than the future value in inflationary times. The opposite is true in deflationary times.
_____
In the US in the middle of the last century, inflation rates were consistently 2-3% per year and savings interest rates were perhaps 4-6%. Money saved actually increased in value, and the present value of money was greater than the future value. These days, inflation is perhaps a little lower, but savings interest rates are a lot lower, so savings does not outpace inflation the way it did. The truth or falsity of all these statements depends on where and when you're talking about.