### Power point for quiz 3

```Identify the means and the extremes
in the proportion.
w
x
=
y
z
Means: y & x
Extremes: w & z
Identify the means and the extremes
in the proportion.
9
6+y
=
12w
5
Means: 6 + y & 12w
Extremes: 9 & 5
Identify the means and the extremes
in the proportion.
q+3
5m
=
2
q
Means: 5m & 2
Extremes: q + 3 & q
Identify the means and the extremes
in the proportion.
m
a
=
T
h
Means: a & T
Extremes: m & h
Factor completely.
x2 – 225
(x + 15)(x – 15)
Factor completely.
5x2 – 125y4
5(x2 – 25y4)
5(x + 5y2)(x – 5y2)
Factor completely.
12x13 – 75x
3x(4x12 – 25)
3x(2x6 + 5)(2x6 – 5)
Factor completely.
x2 + 12x + 32
(x + 4)(x + 8)
Factor completely.
x2 – 12x + 32
(x – 4)(x – 8)
Factor completely.
x2 – 4x + 32
(x + 4)(x – 8)
Factor completely.
x2 + 14x + 45
(x + 9)(x + 5)
Factor completely.
x2 + 15x + 36
(x + 12)(x + 3)
Factor completely.
8x2 + 2x – 21
8x2 + 14x – 12x – 21
2x(4x + 7) – 3(4x + 7)
(4x + 7)(2x – 3)
8 •-21 = -168
14 & -12
Factor completely.
12x2 + 53x + 20
12x2 + 48x + 5x + 20
12x(x + 4) + 5(x + 4)
(x + 4)(12x + 5)
12 •20 = 240
48 & 5
Factor completely.
12 •-11 = -132
-22 & 6
12x2 – 16x – 11
12x2 – 22x + 6x – 11
2x(6x – 11) + 1(6x – 11)
(2x + 1)(6x – 11)
Factor completely.
32x2 – 36x + 9
32x2 – 24x – 12x + 9
8x(4x – 3) – 3(4x – 3)
(8x – 3)(4x – 3)
32 • 9 = 288
-24 & -12
Factor completely.
x2 – 15x + 36
(x – 12)(x – 3)
Factor completely.
x2 + 4x – 45
(x – 9)(x + 5)
Factor completely.
2x2 – 28x + 90
2(x2 – 14x + 45)
2(x – 9)(x – 5)
Factor completely.
3x2 – 27x – 108
3(x2 – 9x – 36)
3(x – 12)(x + 3)
Find the missing side of the triangle.
x
16
12
122 + 162 = x2
144 + 256 = x2
400 = x2
20 = x
Find the missing side of the triangle.
x
3
2
22 + 32 = x2
4 + 9= x2
13 = x2
3.6 ≈ x
Find the missing side of the triangle.
x
10
18
102 + 182 = x2
100 + 324= x2
424 = x2
20.6 ≈ x
Find the missing side of the triangle.
19
12
x
122 + x2 = 192
144 + x2 = 361
x2 = 217
14.7 ≈ x
Find the missing side of the triangle.
70
x
30
302 + x2 = 702
900 + x2 = 4900
x2 = 4000
63.2 ≈ x
Find the missing side of the triangle.
25
x
7
72 + x2 = 252
49 + x2 = 625
x2 = 576
24 = x
Do the following lengths form a right
triangle?
7, 24, 25
72 + 242 ? 252
49 + 576 ? 625
625 = 625
yes!
Do the following lengths form a right
triangle?
5, 13, 12
52 + 122 ? 132
25 + 144 ? 169
169 = 169
yes!
Do the following lengths form a right
triangle?
9, 12, 15
92 + 122 ? 152
81 + 144 ? 225
225 = 225
yes!
Do the following lengths form a right
triangle?
12, 20, 18
122 + 182 ? 202
144 + 324 ? 400
468 ≠ 400
no!
Do the following lengths form a right
triangle?
19, 17, 18
172 + 182 ? 192
289 + 324 ? 361
613 ≠ 361
no!
Do the following lengths form a right
triangle?
2, 7, 8
22 + 72 ? 82
4 + 49 ? 64
53 ≠ 64
no!
DBA ~ ∆ _______
DAC
∆ABC ~ ∆______
B
A
D
C
YBS ~ ∆ _______
BUS
∆YUB ~ ∆______
U
B
S
Y
PMQ ~ ∆ _______
QMR
∆PQR ~ ∆______
P
Q
M
R
GIH ~ ∆ _______
HIJ
∆GHJ ~ ∆______
G
H
I
J
∆ABC ~ ∆DEF. Find the
value of x.
F
C
B
4x
4x =
3x + 3
A
30
27
D
30
E
90x + 90 = 108x
90 = 18x
x=5
∆GHI ~ ∆JKL. Find the value of x.
H
J
L
2x + 5
2x + 5 =
3x – 20
K
G
10
I
9 16x + 40 = 27x – 180
220
=
11x
8
x = 20
∆MNO ~ ∆PQR. Find the value of
x.
P
M
N
Q
O
6x + 1 = 46.5
5x – 6
28.5
34.5
R
232.5x – 279 = 171x + 28.5
61.5x = 307.5
x=5
```