Answer:
The answer to your question is Katie had 15 rocks and Oliver 45 rocks.
Step-by-step explanation:
Conditions
Katie has x amount of rocks
Oliver has 3x amount of rocks
The final amount of rocks
Oliver = 3x + 75
Katie = x + 105
Now, they have the same amount of rocks, then we can equal both equations
3x + 75 = x + 105
Solve for x
3x - x = 105 - 75
2x = 30
x = 30/2
x = 15
Conclusions
At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks
Answer:
a. segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.
Step-by-step explanation:
In order for a triangle to be isosceles, two of the line segments must be congruent. (eliminates choices C and D)
If the slopes of the congruent segments are negative reciprocals of each other, the triangle is a right triangle, not an acute triangle. (eliminates choice B)
With choices B, C, D eliminated, we are left with choice A.
__
However, <em>that necessary description is not sufficient</em> to constrain the triangle to be an acute triangle. In order for the triangle to be acute, the third side must be less than √2 times the length of either of the congruent sides.
The correct answer is "none of the above."
Answer:5hours
Step-by-step explanation:
58-10 = 48 dollars remain after the first hour
48/12 = 4 hours after the first hour
1+4=5 total hours
Answer:
16
Step-by-step explanation:
Now:16 x 2 = 32
16 years:32 x 2 =64
64 / 2 = 32
