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answer:
x < 44
step-by-step explanation:
- solve this like an equation
<u>3/4x < 33</u>
- in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number
3/4x < 33
3/4x(4) < 33(4)
3x < 132
x < 44
Answer:
if ∠1 = 34°
then:
∠2 = 180 - 34 = 146° because it is supplementary to ∠1 (supplementary angles total 180°)
∠3 = 146° because it is a vertical angle of ∠2
∠4 = 34° because it is a vertical angle of ∠1
Given:
The given polynomial is

When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).

When it divided by (x+1) gives remainder 0. So, P(-1)=0.



...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0




...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).



Putting m=5.5 in (i), we get



Therefore, the values of m and n are 5.5 and -21.5 respectively.
Answer:
$512.50
Step-by-step explanation:
500/100 = 5
5/2 = 2.5
100 + 2.5 = 102.5%
5 x 102.5 = $512.50