Using the Pythagorean theorem:
AC = √(13^2 - 12^2)
AC = √(169 -144)
AC = √25
AC = 5 cm
All angles in a triangle add up to 180
180 = 9 + 15 + 2x - 1 + 3x
180 = 24 - 1 + 2x + 3x
180 = 23 + 5x
180 - 23 = 5x
157 = 5x
Divide both sides by 5
X = 31.4 or 157/5
We are told to factor the expression ax + ay + bx + by. To factor the given expression, we must use grouping. The first step is to grouping is to 'group' the expression into two different binomials. This results in (ax + ay) + (bx + by). From the first binomial, we can factor out a. From the second, we can factor out b. After doing this, we get a(x + y) + b(x + y). We immediately notice that there are two like terms, (x + y). We can group the two remaining terms together to get (a + b). When we put the two terms together, we get (a + b)(x + y). Therefore, the factored version of ax + ay + bx + by is (a + b)(x + y). Hope this helped!
A)
Increase %= (new # - old #)/old * 100
new= 8
old= 5
Increase %= (8-5)/5 * 100
=3/5 * 100
=0.60 * 100
=60% increase
B)
Decrease %= (old # - new #)/old * 100
new= 5
old= 8
Decrease %= (8-5)/8 * 100
= 3/8 * 100
= 0.375 * 100
= 37.5% decrease
ANSWER: a) 60% increase; b) 37.5% decrease
Hope this helps! :) Good luck on your test!!
