So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
Answer:
Step-by-step explanation:
A kite is a quadrilateral that has only one line of symmetry, and bisecting diagonals.
From the graph,
AB = 6 units
BC = 8 units
CD = 8 units
AD = 6 units
i. Has exactly one pair of congruent sides. Examples are; AB = AD and BC = CD.
ii. The diagonals are perpendicular. AC is at right angle to DB.
iii. The diagonals bisect each other. AC bisects DB, or vice versa.
Therefore, quadrilateral ABCD is a kite.
Answer: There are 249 times Jamie takes a counter from the bag.
Explanation:
Since we have given that
Ratio of colour of red to blue to green is 1:3:7.
Number of blue counters = 68
Let the total number of times Jamie does from the bag be x.
So, According to question,
Hence, there are 249 times Jamie takes a counter from the bag.
Exact form 1053/16
Decimal form 65.8125
mixed Number form 65 13/16