Answer:
A=45
Step-by-step explanation:
If you take a pencil and put it in the middle of the line it looks like it could be half of the other side
180-45=135
<span>Consider a angle â BAC and the point D on its defector
Assume that DB is perpendicular to AB and DC is perpendicular to AC.
Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC
Proof
Consider triangles ΔADB and ΔADC
Both are right angle, â ABD= â ACD=90 degree
They have congruent acute angle â BAD and â CAD( since AD is angle bisector)
They share hypotenuse AD
therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles</span>
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
Hello There!
Statistics is a tool used to help people process, summarize, analyze and interpret data for making better decisions.
It helps us with future events if we know what has happened in past.
Helps us make better decisions.
The better we know about the future of an outcome, the more possibility we have to work around it.
Based on our examination of the y-intercepts, we can deduce that the y-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
<h3>What is the examination of the
y-intercept?</h3>
The value of the function at the point where the value of x is equal to zero is known as the y-intercept.
f(x)=-6(1.05)^x
Considering x
x=0
f(0)=-6(1.05)^0
f(0)=-6(1)
f(0)=-6
Therefore, the y-intercept is point (0,-6)
Generally, the equation for the function of the y-intercept of g(x) is mathematically given as
From table
at x=0
The y-intercept is the point (0,-3)
Based on our examination of the y-intercepts, we can deduce that the ty-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)
Read more about intercepts
brainly.com/question/14180189
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