The coordinates of trapezoid vertices are:
- J(-7,-2);
- K(-4,-2);
- L(-2,-5);
- M(-9,-5).
The translation rule is
(x,y)→(x-2,y+8).
Then the image trapezoid vertices are:
- J'(-7-2,-2+8) that is J'(-9,6);
- K'(-4-2,-2+8) that is K'(-6,6);
- L'(-2-2,-5+8) that is L'(-4,3);
- M'(-9-2,-5+8) that is M'(-11,3)
a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.
b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.
<h3>What is the Angle of Intersecting Tangents or Secants Theorem?</h3>
According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.
a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]
Substitute
m∠AEB = 1/2(53 + 61)
m∠AEB = 57°
b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]
Multiply both sides by 2
2(35) = VW - 36
70 = VW - 36
Add 36 to both sides
70 + 36 = VW
VW = 106°
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3 point slope
1 slope intercept
2 standard
516-309.6
517-310.2 i think
Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7
