Answer:
x=148
Linear pairs add up to 180. Take your value of 32 and subtract it from 180 to find out the value of the remaining angle within the linear pair.
180-32=148
Hence, x=148
Hope this helps!
Answer:
1st pic) 17.8
2nd pic) 16.8
3rd pic) 9.1
4th pic) 13.5
Step-by-step explanation:
<u>1st pic:</u>
(write equation) Cos 27 (cos 27 = 0.89) = 
(new equation) 0. 89 = 
(multiply 20 on both sides) 0.89 x 20 =
x 20
(solve) 17.8 = x
<u>2nd pic:</u> 
(write equation) tan 40 (tan 40 = 0.84) = 
(new equation) 0.84 = 
(multiply 32 on both sides) 0.84 x 20 =
x 20
(solve) 16.8 = x
<u>3rd pic:</u> 
(write equation) cos 55 (cos 55 = 0.57) = 
(new equation) 0.57 = 
(multiply 16 on both sides) 0.57 x 16 =
x 16
(solve) 9.1 = x
<u>4th pic:</u> 
(write eqaution) tan 42 (tan 42 = 0.90) = 
(new equation) 0.90 = 
(multiply 15 on both sides) 0.90 x 15 =
x 15
(solve) 13.5 = x
A linear pair is a pair of angles that form a line. When added, they will equal 180.
< EFG + < GFH = 180
5n + 20 + 3n + 16 = 180
8n + 36 = 180
8n = 180 - 36
8n = 144
n = 144/8
n = 18
< EFG = 5n + 20.....5(18) + 20 = 110 <==
< GFH = 3n + 16.....3(18) + 16 = 70 <==
Step-by-step explanation:
From the statement:
M: is total to be memorized
A(t): the amount memorized.
The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"
memorizing rate is
.
the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is
.
So we can write

And that would be the differential equation for A(t).
The answer to this will be a positive multiply 3 and 11 you'll get 33 and multiply 4 and 5 and you'll get 20
33/20