Let x = hours to meet
train one has a 2 hour head start or 210 km head start
210 + 105x = 135x
30x = 210
x = 7 hours to meet
Answer:
The expression does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.
Since 1.12 is greater than 1.016, therefore, the expression does not represent a percent increase greater than 12%.
We can rewrite as:
Let us convert to percent by multiplying by 100.
Since 1.6% is less than 12%, therefore, the expression does not represent a percent increase greater than 12%.
Answer:
5x3=15
Step-by-step explanation:
Answer:
x^2-x+3
Step-by-step explanation:
You factor it out which would then make it
(x-4)(x^2-x+3)/x-4
Then you cancel out the common factor, x-4
which leaves you with x^2-x+3
Answer: Alycia only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.
There are 5 ways to find out if the triangles are congruent.
The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.
For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:
1) ∠O = ∠S
2) OP = TS
And
3) RS = OQ
So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.