Answer:
The price of the admission is 15.
Step-by-step explanation:
From the information given, you can write the following equations:
a+3e=45 (1)
a+5e=65 (2), where:
a is the admission cost
e is the exhibition cost
First, you can solve for a in (1):
a=45-3e (3)
Second, you can replace (3) in (2):
45-3e+5e=65
45+2e=65
2e=65-45
2e=20
e=20/2
e=10
Finally, you can replace the value of e in (3):
a=45-3e
a=45-3(10)
a=45-30
a=15
According to this, the price of the admission is 15.
Answer:
Base angle = 72
Vertex angle = 18
Step-by-step explanation:
Measure of the base angle = x. But there are two of them. (Definition of isosceles). Keep that in mind.
The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x
All three angles = 180 degrees.
So we have x + x + x/4 = 180 degrees.
change 1/4x to 0.25x x since 1/4 = 0.25
Equation
x + x + 0.25 = 180
2.5x = 180
Solution
2.5x = 180 Divide by 2.5 on both sides
2.5x/2.5 = 180/2.5
x = 72
Answer
That means that each base angle = 72 degrees
The Vertex Angle = 72/4 = 18
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
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D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
Answer:
is there a formula in the notes if so put it in then it might help out
Step-by-step explanation:
Answer:
A perpendicular line is a line that meets a 90 degree angle.
Step-by-step explanation:
Think of the letter L
the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.
Thats the best way I can explain it.
Hope this helps and please mark me brainliest if it did :)
