2 consecutive numbers....x and x + 1
x(x + 1) = 182
x^2 + x = 182
x^2 + x - 182 = 0
(x - 13)(x + 14) = 0
x - 13 = 0
x = 13
x + 14 = 0
x = -14....not this one because it is negative
x + 1 = 13 + 1 = 14
ur 2 numbers are : 13 and 14
Answer: b) the tiles are not similar because both SP:SR is 5:4 and MJ:ML is 5:2
<u>Step-by-step explanation:</u>
We are given that the tiles are rectangular which implies that they both have a 90° angle.
In order to prove similarity, We need to show that the lengths and widths are proportional.
P Q R S
J K L M
a) PQ : QR JK : LM
w=4 L=5 w=2 w=2
↓
We need Length (not width)
b) SP : SR MJ : ML
L=5 w=4 L=5 w=2
5 : 4 5 : 2
When comparing length to width they do not have the same ratio so the rectangles are not similar.
c) PQ : QR JK : KL
w=4 L=5 w=2 L=5
4 : 5 2 : 5
When comparing width to length they do not have the same ratio so the rectangles are not similar.
d) SR : ML PQ : JK
w=4 w=2 w=4 w=2
↓ ↓
We need Length (not width)
13
Explanation: a^2 + b^2 = c^2
12^2 + 5^2 = c^2
144 + 25 = c^2
/169 = c
c = 13
Answer:
b=2
Step-by-step explanation:
Answer: Choice B) -3
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Work Shown:
f(x) = (x+2)/2
f(-8) = (-8+2)/2 ... replace every x with -8; use PEMDAS
f(-8) = (-6)/2
f(-8) = -3
