1.verify: a-(-b) =a+b for the values a=52 and b=21
2.solve by trial and error method: 2z+1=7
3.find the unknown angles a and b also give reason
4.give three rational numbers which is equivalent to -3/7
5.Add: t+5tz, -4t+11tz-2
Answers
Answer:
Below are the solutions. Hope you find it useful, (Please do mark as brainliest)
Step-by-step explanation:
(1.) LHS = a-(-b) = 52 - (-21) = 52 + 21 = 73
RHS = a + b = 52 + 21 = 73
As LHS = RHS, Hence proved
(2.) 2z + 1 = 7
Taking z = 1,
2(1) + 1 = 3 ≠ 7, Therefore z ≠ 1
Taking z = 2
2(2) + 1 = 5 ≠7, Therefore z ≠ 2
Taking z = 3
2(3) + 1 = 7 = 7
Therefore through trial and error, we get the z = 3
(3.) 60 + b = 180° (Straight line - Linear pair)
Therefore b = 120°
60 = a (Vertically opposite angle)
Therefore a = 60°
(4.) -3/7 = -6/14 = -9/21 = -12/28
(Multiplying the numerator and denominator by same integer)
(5.) ( t + 5tz ) + ( -4t + 11tz - 2)
=> t + 5tz - 4t + 11tz - 2
=> -3t + 16tz - 2
Answer:
1. a-(-b) = a+b (Given)
52-(-21) = 52+21
52+21 = 52+21
73 = 73
LHS = RHS
hence verified
2. 2z+1 =7 (Given)
by trial and error method
let z= 1
LHS
> 2(1) +1
> 3
LHS not equal to RHS(7)
now let z = 3
LHS
> 2(3) +1
> 7
LHS = RHS(7)
therefore, the value of z is 3
3. Angle x = 60° (Given)
Angle a = Angle x = 60° (Vertically opposite angle)
Angle a + b = 180 ( Linear Pair )
Angle b = 180 - a
= 180 - 60
= 120°
Therefore, Angle a = 60° and Angle b = 120°
4. Three Rational no.s equivalent to -3/7 :-
-3 × 2 = -6
7 × 2 7
-3 × 5 = -15
7 × 5 35
-3 × 8 = -24
7 × 8 56
Therfore, 3 equivalent fractions of -3/7 are -6/7, -15/35 and -24/56
5. t +5tz + (-4t +11z -2)
> t +5z -4t +11z -2
> t -4t +5z +11z -2
> -3t + 16z -2 Ans.
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