3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it
A. ASA similarity theorem
B. SSS similarity theorem
(1) 2 of one step equations
x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31
n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7
(2) 2 equations with fractions
3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3
1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4
(3) distributive property
3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18
11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
