Answer:
72%
Step-by-step explanation:
There are a total of 50 quizzes in the year
From the first 20, the student passes 60%. This makes a total of

12 passes
Out of the remaining 30 quizzes the student passes in 80% of them. This makes a total of

24 passes
Adding the two values
12 + 24 = 36
The student passes 36 quizzes out of 50.
We convert this to a percentage
%
Answer:
87.7 degrees.
Step-by-step explanation:
In triangle ABC, attached.
The height of the building |AB|=443 meters
The distance of the agent across the street , |BC|=18 meters
We want to determine the angle at C.
Now,

The agent should sfoot his laser gun at an angle of 87.7 degrees.
Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:

Here m is the gradient of the functions which is defined as:

The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,

Putting the value of slope in the equation

Putting (-1,-1) in the equation

The equation will be:

Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
The bill will be 18,480 if they are successful.
Step-by-step explanation:
Given,
Current bill of company = 22000
Energy usage to decrease = 16%
Amount of decreased usage = 16% of current bill
Amount of decreased usage = 
Amount of decreased usage = 
Amount of decreased usage = 3520
Bill after decreased usage = Current bill - Amount of decreased usage
Bill after decreased usage = 22000 - 3520 = 18480
The bill will be 18,480 if they are successful.
Keywords: percentage, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
See explanation
Step-by-step explanation:
Given 
According to the order of the vertices,
- side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
- side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
- side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
- angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
- angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
- angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);