Answer:
see explanation
Step-by-step explanation:
(15)
Since BE bisects ∠ ABD then ∠ DBE = ∠ ABE, thus
8x - 14 = 6x + 2 ( subtract 6x from both sides )
2x - 14 = 2 ( add 14 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Thus ∠ ABE = 6x + 2 = 6(8) + 2 = 48 + 2 = 50°
(16)
Since BE bisects ∠ ABD then ∠ ABE = ∠ DBE = 12n - 8 and
∠ ABD = ∠ ABE + ∠ DBE, that is
22n - 11 = 12n - 8 + 12n - 8 = 24n - 16 ( subtract 24n from both sides )
- 2n - 11 = - 16 ( add 11 to both sides )
- 2n = - 5 ( divide both sides by - 2 )
n = 2.5
Thus
∠ EBD = 12n - 8 = 12(2.5) - 8 = 30 - 8 = 22°
Answer:
The area of △AON is one-sixth part of △ABC.
Step-by-step explanation:
Let the total area of △ABC be x.
Median divides the area of a triangle in two equal parts.
Since AM are CN are medians, therefore the area of △ACN, △BCN, △ABM and △ATM are equal, i.e., .
The intersection point of medians is called centroid of the triangle. A centroid divides the median in 2:1.
Since CN is median and O is the centroid of the triangle, therefore CO:ON is 2:1.
Draw a perpendicular on CN from A.
Therefore the area of △AON is one-third of △ACN.
The area of ANO is . Therefore the area of △AON is one-sixth part of △ABC.
Answer:
what is the question
Step-by-step explanation:
Answer:
The number is 8
Step-by-step explanation: