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Sagot :

Answer:

14) B. 9

15) C. (7 x 3)cm

Step-by-step explanation:

14) The area of of parallelogram ABCD is 63 and the altitude is 7

divide 63 by 7 = 9

15) The length of OC is twice the length of EO so CE = 1(7) + 2(7) = 3(7)

Answer:

14. B

15. C

Step-by-step explanation:

Question 14

Area of a parallelogram = base × altitude

Given:

  • area ABEF = 63 cm²
  • base = AB
  • altitude = 7 cm

Substituting the given values into the formula and solve for AB:

⇒ Area = base × altitude

⇒ 63 = AB × 7

[tex]\sf \implies AB=\dfrac{63}{7}[/tex]

⇒ AB = 9cm

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Question 15

Median:  the line segment from the vertex to the midpoint of the opposite side.

Median Theorem:  the medians of a triangle intersect at a point called the centroid.  The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

Therefore,

[tex]\sf CO=\dfrac23CE \implies EO=\dfrac13CE[/tex]

Given:

  • EO = 7cm

Substituting the given values into the formula and solve for CE:

[tex]\sf \implies EO=\dfrac13CE[/tex]

[tex]\sf \implies 7=\dfrac13CE[/tex]

⇒ CE = (7 x 3) cm