Exterior angle c = the sun of the two opposite interior angles a and b.
10x -23 = 5x -17 + 7x -26
Combine the right side:
10x -23 = 12x -43
Add 43 to both sides:
10x +20 = 12x
Subtract 10x from both sides:
20 = 2x
Divide both sides by 2
X = 10
Now you have x replace it in the equation for A:
A = 5x -27 = 5(10) -27 = 50-27 = 23
Angle A = 23 degrees.
Answer:
74.31353
=74 m
Step-by-step explanation:
given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.
we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.
Hence this is an obtuse scalene triangle.
Angle ∠A = 56.5° (III angle)
Using sine formula we get

So distance AB is 74 metres.
Answer:
Step-by-step explanation:
Given:
Length = 27/4 in
Width = 27/2 in
5.55% of the cake = 5.55/100
= 1/18
Therefore, 18 equal squares of cake where 1 piece is 5.55 % of the cake
Since, the cake is twice as long as it is wide, so that means cut half the cake (27/4 × 27/4) into 9 pieces.
Therefore, each has a side of 1/3 * 27/4
= 9/4 inches.