Answer:
78
Step-by-step explanation:
∠A + ∠B + ∠C = 180 { Angle sum property of triangle}
42 + ∠B + 60 = 180
∠B + 102 = 180
∠B = 180 - 102 = 78
In similar triangles, corresponding angles are congruent.
∠S ≅ ∠B
∠S = 78°
Answer:
(
, 
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = 
=
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × )
= 
- 
=
Solution is ( , )
Answer:
rs.6,300
Step-by-step explanation:
Simple Interest, S.I. = Rs. 1260 =
100
PR×2
=
50
PR
-(i)
Compound Interest, C.I. = Amount(A) - Principle(P)
=P(1+
100
R
)
2
- P = PR(R/10000+1/50)=Rs.1323 -(ii)
Dividing (ii) by (I),
200
R
+1 =
1260
1323
⇒Rate,R=10%p.a.
Now,
100
PRT
=1260
⇒
100
P×10×2
=1260
Answer:
4
Step-by-step explanation:
256 = x^4
Take the 4th root of both sides.
4^√256 = 4^√x^4
<u>4 = x</u>
Answer:
107.500
Step-by-step explanation:
5.450.000-75.000=5.375.000
5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000
430.000:4=107.500
+ and - ,
* and :
are inverse operations
Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.
verifying :
107.500*4*12 1/2+75.000=5.450.000
