The property that allows 7 + 9 + 3 = 7 + 3 + 9 is called the Commutative Property of Addition and Multiplication. This means that as long as the sign is either a multiplication symbol or an addition symbol, we can move (or "commute") the values wherever we want and the expression will still equal the same amount.
Hope that helped =)
4x+15y=13 (1)
3x+5y=16 (2)
(2) * 3 --> 9x+15y=48 becomes (3)
(3) - (1)
5x=35
x=7
sub x =7 into (1)
4(7)+15y=13
28+15y=13
-28 -28
15y= -15
y= -15/15
y= -1
therefore x=7 and y= -1
Step-by-step explanation:
Let x be the size of 1 of the 2 congruent angles.
The size of the other congruent angle is also x.
Since sum of angles in a triangle = 180°,
Measure of 3rd angle in the triangle
= 180° - 1st angle - 2nd angle
= (180 - 2x)°.
Answer:
l = √10 ft
Step-by-step explanation:
Using Pythagorean Theorem, a² + b² = c², where,
a = ½(2) = 1 ft
b = 3 ft
c = l
Plug in the values
1² + 3² = l²
1 + 9 = l²
10 = l²
√10 = l
l = √10 ft
