Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
Where
slope
So, considering the following equations
The following equations have the same slope
and
Because: implies that:
for and
5 km = 5000 meters
66 minutes = 3960 seconds
Meters per second = 5000/3960 = 1.26
The answer is A.1.26
Answer: 82% decrease
Step-by-step explanation:
Initial number =5000
Final number = 900
Change in numbers = 5000 - 900 = 4100
Since 5000 > 900 ( the change is a decrease)
Thus, the percent change =
(4100/5000) x 100%
= 82%
Thus, the percent of change from 5,000 to 900 is 82% decrease
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.
