Answer:
Step-by-step explanation:
Chords AB and CD intersect at point E, AE = 10, EB = 4, and CE = 8. Therefore, ED =
2 answers:
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Answer:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
Explanation:
1) Given two side lenghts and one angle you can use sine law:
2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:
From which you can clear sinZ and get:
sinZ = 43 × sin(68) / 40 = 0.9967
⇒ Z = arcsine(0.9967) ≈ 85.36°
3) The third angle can be determined using 85.36° + 68° + X = 180°
⇒ X = 180° - 85.36° - 68° = 26.64°.
4) Finally, you can apply the law of sine to obtain the last missing length:
From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in
The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
Explanation:
1) Given two side lenghts and one angle you can use sine law:
2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:
From which you can clear sinZ and get:
sinZ = 43 × sin(68) / 40 = 0.9967
⇒ Z = arcsine(0.9967) ≈ 85.36°
3) The third angle can be determined using 85.36° + 68° + X = 180°
⇒ X = 180° - 85.36° - 68° = 26.64°.
4) Finally, you can apply the law of sine to obtain the last missing length:
From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in
The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
Answer:
<h2>not exist</h2>Step-by-step explanation:
The coordinates of the intersection of the line are the solution of the system of equations.
The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).