B. alternate interior angles
C. alternate exterior angles
D. corresponding angles
Answer:
∠1 and ∠8 are alternate exterior angles.
Step-by-step explanation:
We are given two parallel lines and one transversal line which cuts both parallel line and makes two 8 angles.
We need to find the relation between them
As we know total 8 angles form when two parallel line cut by one line.
Name of angles (relation of angles)
Alternate Exterior Angles are a pair of angles on the inside of each of those two parallel lines but on opposite sides of the transversal.
Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
Adjacent angles are a pair of angles whose a common side and a common vertex.
Corresponding angles are a pair of angles whose one out side and one inside of those parallel lines but on same side of the transversal.
Here, ∠1=∠8 because ∠1 and ∠8 are alternate exterior angles.
Thus, ∠1 and ∠8 are alternate exterior angles.
Answer:
Alternate exterior angles
32.5 square feet
65 square feet
130.5 square feet
The area of the flower bed is 32.5 square feet.
A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet.
= 32.5 square feet
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The graph of an equation is the set of all points that are solutions of the equation. Frequently, a relationship between two quantities can be expressed as an equation in two variables. For instance, we can write the equation of our problem as the following form:
So, by graphing we want to know the x-intercepts. This graph is illustrated in the Figure below. As you can see, points in red are the solution to this problem that are the x-intercepts of our previously defined function . These points are:
The solutions of the given quadratic equation are x=-3 and x=1.
The given quadratic equation is x²+2x-3=0.
By using splitting middle term method, the given equation can be solved as follows:
Here, x²+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
x+3=0 and x-1=0
x=-3 and x=1
Therefore, the solutions of the given quadratic equation are x=-3 and x=1.
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the length when the width is 4 meters and the perimeter is 36 meters.
The length of a rectangle is 14 meters when the width is 4 meters and the perimeter is 36 meters.
The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that,
The formula P = 2L + 2W represents the perimeter of a rectangle.
To determine the length when the width is 4 meters and the perimeter is 36 meters.
The perimeter of a rectangle = 2(L+W)
Here W = 4 meters
⇒ 36 = 2L + 2(4)
⇒ 36 = 2L + 8
⇒ 2L = 28
⇒ L = 14
Therefore, the length of a rectangle is 14 meters.
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