If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
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Answer:
- -2.2(6) +1.8(4) . . . temperature change
- 42 °C
Step-by-step explanation:
At the end of the first 6 hours, the temperature change was ...
(-2.2 K/h)(6 h) = -13.2 K
The change in the next 4 hours was ...
(1.8 K/h)(4 h) = 7.2 K
Then the total change over the 10-hour period was ...
(-2.2)(6) +(1.8)(4) . . . . . expression for temperature change
This evaluates to -13.2 +7.2 = -6.
__
The final temperature is the sum of the initial temperature and the temperature change:
final temperature = 48 °C -6 °C = 42 °C
_____
<em>Additional comment</em>
When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).
Answer:
1) 11
2) 2
3) 
4) 
5) -2
6) 
Step-by-step explanation:
1) 2
+ 3
- 
=(2 × 2 )+ (3 × 4) - 5
= 4 + 12 - 5
= 11
2) 4
-2
+ 
= (4 × 2) - (2 × 7) + 8
= 8 - 14 +8
= 2
3) 5
- 3
= 5× 
- 3×
+ 4×
+ 2×
= 
=
4) 
= 
=
5) 
= 
= -2
6) 
= 
= 2× - 2× - 
= 
=
Hope the working out is clear and will help you. :)
Find the surface area of one side and multiply it by 6
