Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x
Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3
Answer:
C
Step-by-step explanation:
The solution to the system of the inequalities lies in the shaded region between the 2 lines.
The ordered pairs (5, - 2), (3, 1), (4, 2) lie within this region ⇒ C
Answer:
CED=126
Step-by-step explanation:
The total of all 3 angles should be 180
so:
180-38-16 (ABC is equal to ECD)
180-38-16=126
126=CED
