<h3>Answers: </h3>
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
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Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
Hello,
y-3x=2==>x=(y-2)/3
==>(x+1)²=((y-2)/3+1)²=(y+1)²/9
y=(x+1)²-5
==>y=(y²+2y1)/9 -5
==>y²-7y-44=0 ; Δ=7²+4*44=225=15²
==>y=(7+15)/2 or y=(7-15)/2
==>y =11 and x=(11-2)/3=3
or y=-4 and x=(-4-2)/3=-2
sol={(3,11);(-2,-4)}
Answer:
The diameter of the wheel is 32 centimeters
Step-by-step explanation:
we know that
The <u><em>intersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal.
so
In this problem
substitute the given values
solve for x
Remember that
LK goes through the center of the wheel
That means----> LK is a diameter
therefore
The diameter of the wheel is 32 centimeters
