Answer:
x = 3
Step-by-step explanation:
Multiply the first equation by -1, then add it to second equation.
2x+9y = -12
-2x-7y = 8
-------------------
2y = -4
Solve for y
2y = -4
y = -2
Plug value of y into one of the equations and solve for x
2x + 9(-2) = -12
2x = 6
x = 3
Answer:
93214.28 cm³
Step-by-step explanation:
The area of the given solid in the front side is = area of the rectangle + area of the semi circle.
= ( 40 × 30 ) + 0.5 × π × r²
= 
{Since radius = 0.5 × Diameter = 0.5 × 30 = 15 cm}
= 1553.57 cm².
Now the volume of the solid is given by (Area of the vertical surface × horizontal length) = 1553.57 × 60 = 93214.28 cm³ (Answer)
Answer:
corresponding angles
the angles are equal
equation: 9x+8 = 4x+18
x=2
angle measurements: 26⁰
Step-by-step explanation:
solve your equation
9x+8 = 4x+18
subtract 4x from each side
5x + 8 = 18
subtract 8 from each side
5x = 10
divide by 5
x = 2
insert x=2 into original equations to make sure you get the same answer.
9(2) + 8 = 26
4(2) + 18 = 26
