Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
If its easy why dont u do it urself bro
Answer:
Percent of change in population is 
%
Step-by-step explanation:
Given population of Boston is 
measured in year 
.
And population of Boston in year 
is 
.
We need to find percent of change in population.
So, percent change 
%
Here old population is and new population is
Plugging these value in formula we get,
Percent change 
Rounding to nearest tenth 2.6%
Answer:
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept(value of y when x = 0).
If two lines are perpendicular, the multiplication of their slopes is -1.
Contains (0, 2)
This means that 
. So
Finding the slope:
Perpendicular to y = 2/3x + 1 means that:
So
Answer:
The radius is 5
Step-by-step explanation:
The equation for Area of a sphere is
4pi*r^2
Since you have the area and not the radius you do the opposite of the equation so instead of multiplying you divide
100/4 = 25
Then find the square root of 25, which is 5
So your radius is 5.
Hope This Helps!!! :}
