Answer:
5000 km
Step-by-step explanation:
We are given that
3 cm represents on a map of a town=150 m
Distance between two points=1 km
We have to find the distance between two points on the map.
3 cm represents on a map of a town=150 m
1 cm represents on a map of a town=150/3 m
1 km=1000 m
1 m=100 cm

100000 cm represents on a map of a town
=
m
100000 cm represents on a map of a town=5000000 m
100000 cm represents on a map of a town
=
100000 cm represents on a map of a town=5000 km
Hence, two points are separated by 5000 km on the map.
Answer:
DE = 20units
Step-by-step explanation:
In Δ ABC,
angle A is congruent to angle B.... (given)
therefore, ΔABC is an isoceles triangle.
therefore, CA = CB..... (side opposite to congruent angles are congruent in an isoceles triangle)
therefore, CB = 4 units
In ΔCDE,
angle D is congruent to angle E.... (given)
therefore, ΔCDE is an isoceles triangle.
therefore, CD = CE
therefore, CD = 8 units
ΔCDE ~ ΔCBA
therefore,

A dependent variable is a variable whose value depends upon an independent variable. A dependent variable is what is being measured in an experiment and or evaluated in a mathematical equation. And you can identify an independent variable pretty easily since its variation does not depend on another.
Answer:
Option D
Step-by-step explanation:
' y = 4x − 1' would graph as a straight line. Therefore, it is a linear equation.
Liner equations are graphed as a straight line, while nonlinear equations are not.
First write out your original equation.

Then use the law of exponents(power of a power) to simplify.

(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.