Answer:
Rs 42000 and Rs 40000
Step-by-step explanation:
Given that Rs 82000 is divided into two parts.
Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.
The rate of interest = 5%=0.05
The total amount after 2 years 
The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.
The total amount after 3 years 
As both the amounts are equal, so from equation (i) and (ii)
x= 42000
And the other part = 82000-42000 = Rs 40000
Hence, he divides the money as
Rs 42000 at 5% per annum compound interest in 2 years and
Rs 40000 at 5% per annum compound interest in 3 years.
The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer
Answer:
(p • 10) - (p • 2)
Step-by-step explanation:
To be doubly sure of your answer, do the actual mult.:
p(10-2) = 10p - 2p. This is equivalent to (p • 10) - (p • 2) (Answer D).
Answer:
8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
we can say that AD is congruent to DC
so your equation for x is: 4x - 1 = 2x
solve this to get x = 0.5
plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF
4(0.5) - 1 = 1
hypotenuse: 1 x 2 = 2
since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,
4(0.5) + 1 = 3
In the diagram, it shows that the legs of triangle are congruent
this means that FE, ED, BA, and BC are all congruent
since we know FE is 3, we know that all the other sides are 3 as well
this means that the perimeter of the triangle is: leg + leg + hypotenuse
so 3 + 3 + 2
the perimeter is 8
