Answer:
7 units long
Step-by-step explanation:
We are given a right triangle ABC
- AB = 25 units
- BC = 24 units
We are required to determine the length of AC
- We are going to use the Pythagoras theorem;
- According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;
a² + b² = c²
In this case;
AB is the hypotenuse and BC is one of the legs of the triangle;
Therefore;
AB² = BC²+AC²
Rearranging the formula;
AC² = AB² - BC²
= 25² - 24²
= 625 - 576
= 49
AC = √49
= 7
Thus, AC is 7 units long
Answer:
x = 7
Step-by-step explanation:
The sum of interior angles is equal to 360°
9x - 4 + 8x + 2 + 13x + 30 + 19x - 11 = 360° add like terms
49x + 17 = 360 subtract 17 from both sides
49x = 343 divide both sides by 49
x = 7
replace x with the value we found to calculate each angle.
Answer:
F) 6/5
Step-by-step explanation:
6 divided by 5 = 6/5
Answer:
x > 9.
Step-by-step explanation:
Here it is just simplifying the inequality.
6 - 2/3x < x - 9
Add 2/3x to both sides.
6 < 5/3x - 9
Add 9 to both sides.
15 < 5/3x
Multiply by 3/5.
9 < x
Flip it.
x > 9.
Answer:
Bella will pass Ajjan after 4h and they will have travelled 260 miles.
Step-by-step explanation:
In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,
In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:
Bella will pass Ajjan after 4h and they will have travelled 260 miles.
