Given :
A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.
To Find :
If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.
Solution :
Let, range in which participant guess would be considered correct is r.
So, r should be in range $( 24,995 ± 1000 ).
( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )
23,995 ≤ r ≤ 25,995
Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .
Hence, this is the required solution.
Answer: the answer is 176 miles apart
Step-by-step explanation: Since they are both driving for 2 hours the speed they are going is doubled and then added together to get 176
Answer:
x ~0.9
Step-by-step explanation:
To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,

Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.

Manipulate the equation so that it is solved for (x),

x ~ 0.859
Answer:
About 3%
Step-by-step explanation:
It decreased.
3% of 465056=13951
465056-13951=451105
3.6% of 465056=16742
465056-16742=448314
The amount you want it 450678 and 451105 is closer to 450678 than 448314.
If its a right-angled triangle you can find the third side if the length of the other 2 sides are known. Use the Pythagoras theorem.
If you have 2 triangles which are similar and you know the length of one or more sides of one of them then you can find the lengths of corresponding sides in the second triangle.