Answer:
Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Step-by-step explanation:
We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.
Therefore, we get

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.
Answer:
3
Step-by-step explanation:
It's given that ΔDEF ∼ΔXYZ . So the corresponding sides of both triangles will be proportional to each other.

DE = 4 ; XY = 4(n + 1) ; EF = 5 ; YZ = 7n - 1
Putting all these values gives ,







Answer:
we have, 1953125=5⁹, so it cannot be a perfect square. If the last digit of a given number is 5, then the last three digits must be perfect squares, 025 or 225 or 625. Otherwise, that number cannot be a perfect square. And as 125 is not a perfect square, so no number ending with 125 can be a perfect square
Answer:
1. <JNL
Step-by-step explanation:
Point N is the vertex of angle 1. Therefore, we can give <1 another name by using 3 letters which includes the letter of vertex point in the middle, and two other letters of the two rays that meets at the vertex point.
Thus, JN and LN meets at point N. Therefore angle 1 can be named as:
<JNL
<u>Define x:</u>
Let one of the numbers be x.
The other number is x + 2
<u>Construct equation:</u>
<span>twice the smaller is 16 more than the larger
</span>⇒2x = x + 2 - 16
<u>Solve x:</u>
2x = x + 2 - 16
x = -14
<u>Find the two numbers:</u>
Smaller number = x = -14
Larger number = x + 2 = -12
Answer: The two numbers are -14 and -12