Answer:
1. X = 14
2.X =13
Step-by-step explanation:
The angles are 90 degrees. I did math to check if the x values are correct and they are.
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Answer:
1232 m^2.
Step-by-step explanation:
The net consists of 2 triangles and 3 rectangles.
Area of each triangle = 1/2 * 24*7 .
Area of 1 rectangle = 25 * 19.
The other 2 have areas 24*19 and 7 * 19.
Therefore the surface area of the prism
= 2 * 1/2 * 24 * 7 + 25*19 + 24*19 + 7*19
= 1232 m^2.
Answer:
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<u>Answer-</u>
The total interest after 3 years is Rs.5760 .
<u>Solution-</u>
Total money borrowed = Rs.12000
Out of those Rs.4000 is of 18% interest rate and remaining 12000-4000=8000 is of 15% interest rate.
Where,
P₁ = principal amount = Rs.4000
P₂ = principal amount = Rs.8000
r₁ = rate of interest of P₁ = 18%
r₂ = rate of interest of P₂ = 15%
t = time period = 3 years
