Answer:
x = 180 - [(180 - 3x) + (180 - 2x)]
Step-by-step explanation:
Start off by finding the angles of the triangle
Angle F = 180 - 3x
The angle across from I (which I will call I) = 180 - 2x
Angle G = 180 - (F + I)
Now that we know what G is, we know what x is because the Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent. So pretty much X = G
Therefore x = 180 - (F + I) or otherwise said as:
x = 180 - [(180 - 3x) + (180 - 2x)]
I hope this is helpful :)
Answer: 24.5%
Step-by-step explanation:
Last year her stock in company A was worth $4600. If her Stock in company A has decreased by 25% since last year in stock, then the amount by which it decreased is
25/100 × 4600 = $1150
The present worth is
4600 - 1150 = $3450
Also, her stock in company B was worth $1000. If her Stock in company B has decreased by 22% since last year in stock, then the amount by which it decreased is
22/100 × 1000 = $220
The present worth is
1000 - 220 = $780
The total worth of both stocks last year was
4600 + 1000 = $5600
The total worth of both stocks this year was
3450 + 780 = $4230
The amount by which it decreased is
5600 - 4230 = 1370
the total percentage decrease in the investor stock account is
1370/5600 × 100 = 24.5%
Solve simultaneously:
<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:
Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15. (This is not the only way in which we can do this!!) We get
-90x + 48y = -312
90x +210y = 570
--------------------------
Add all 3 columns together. We end up with:
258y = 258, so y = 1. You can find x by subst. 1 for y in either of the given equations.
If you'd like more help, please be specific about what you want.
