2 years ago

D is the centroid. Find Q D if DK =6.5.

Mathematics

1 answer:

Xelga [282]2 years ago

3 0

Answer:

QD = 13

Step-by-step explanation:

According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.

By this we can deduce that:

QD = ⅔(QD + DK)

Substitute

QD = ⅔(QD + 6.5)

Multiply both sides by 3

3*QD = 2(QD + 6.5)

3QD = 2QD + 13

Subtract both sides by 2QD

3QD - 2QD = 13

QD = 13

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2 years ago

Lines L and M are parallel. Lines t^1 and t^2 are transversals. What is m<1 if m<4=65*? Justify your answer. (Ps- there is

Diano4ka-milaya [45]

The complete question in the attached figure

we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles

m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°

the answer is
m∡1=115°