The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
Answer:
Car = 10 miles/hour
Bus = 20 miles/hour
Step-by-step explanation:
Here,
Let, the value of the speed of the bus = X
the value of the speed of the car = 2X - 30 (As the speed of the car is 30mph slower than twice)
According to the question,
2X - 20 = 2*(2x-30)
or, 2X - 20 = 4X-60
or, 2X = 40
x = 20
Therefore, the speed of the bus, x = 20 miles/hour
So, the speed of the car is (2*20-30) mph = (40 - 30) mph = 10 miles/hour.
Subsitution
solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y
there are an infinite number of solutions
Answer:
8x+8
Step-by-step explanation:
(f.g)(x)= (f)(g)
(f.g)(x)=(4.2)(x+1)
(f.g)(x)=(8)(x+1)
(f.g)(x) =8x+8
