Answer:
m<A = 70 deg
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.
m<A + m<B + m<C = 180
5x - 25 + 2x + 10 + 3x + 5 = 180
10x - 10 = 180
10x = 190
x = 19
m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70
Answer: m<A = 70 deg
OK im answering ............................................................................................................
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
Let x = number of miles, cost per mile = 93 cents = $0.93
Cost = 20.95 + 0.93*x
200.44 = 20.95 + 0.93x
0.93x + 20.95 = 200.44
0.93x = 200.44 - 20.95
0.93x = 179.49
x = 179.49/0.93
x = 193
He drove 193 miles.
