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)
Answer:
a = -2b - 10
Step-by-step explanation:
a + 3b + 10 = b
a + 10 = -2b
a = -2b - 10
Answer:
(-1,-4)
Step-by-step explanation:
6m-5n=14 equation 1
2m+2n= -10 equation 2
using equation 2 we have
2m=-10-2n
m=-5-n equation 3
using equation 1 we have
6*(-5-n)-5n=14
-30-6n-5n=14
-11n=14+30
-11n=44
n=-44/11
n=-4
using equation 3
m=-5-n
m=-5-(-4)
m=-1
finally we have
(-1,-4)
Circumference = <span>56.55
and Area = </span><span>254.47. Hope it helps.</span>
