Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
ΔABC ~ ΔXYZ.
i.e. ΔABC and ΔXYZ are similar triangle.
then, their ratio of corresponding sides must be equal.
So, there is three possibilities:
Hence, Option 'C' is correct.
75.2 is already rounded to the nearest tenth, if you meant tens it's 80
|3k - 2| = 2|k + 2|
3k - 2 = 2|k + 2| or 3k - 2 = -2|k + 2|
(3k - 2)/2 = |k + 2| or (3k - 2)/-2 = |k + 2|
(3k - 2)/2 = k + 2 or -(3k - 2)/2 = k + 2 or -(3k - 2)/2 = k + 2 or (3k - 2)/2 = k + 2
3k - 2 = 2(k + 2) or -3k + 2 = 2(k + 2)
3k - 2 = 2k + 4 or -3k + 2 = 2k + 4
3k - 2k = 4 + 2 or 2k + 3k = 2 - 4
k = 6 or 5k = -2
k = 6 or k = -2/5
Answer/Step-by-step explanation:
Given:
m<6 = 40°
Required:
Measure of all the other numbered angles
Solution:
Since line a is parallel to line b, therefore:
✔️m<1 = 180° - m<6 (supplementary angles)
m<1 = 180° - 40° (substitution)
m<1 = 140°
✔️m<2 = m<6 (corresponding angles)
m<2 = 40° (substitution)
m<3 = 180° - m<6 (same side interior angles are supplementary)
m<3 = 180° - 40° (substitution)
m<3 = 140°
✔️m<4 = m<6 (alternate interior angle)
m<4 = 40°
✔️m<5 = 180° - m<6 (linear pair)
m<5 = 180° - 40°
m<5 = 140°
✔️m<7 = m<5 (vertical angles)
m<7 = 140°
✔️m<8 = m<6 (vertical angles)
m<8 = 40°
C, is the best model equation for the world problem.
