ZDAC = ZBAD.
What is the length of AB?
Round to one decimal place.

Line AB = 5.2

Step-by-step explanation: We start with triangle ACD, with two sides given and angle A which shall be the reference angle can be calculated as,

SinA = opposite/hypotenuse

Where the opposite is 4.3 (line facing the reference angle) and the hypotenuse is 5.6 (line facing the right angle)

SinA = 4.3/5.6

SinA = 0.7679

By use of a calculator or a table of values

A = 50.17 degrees.

Having been told that both angles DAC and BAD are equal, then we move to triangle ADB where the reference angle is 50.17 (BAD) and the opposite is 4 (line facing the reference angle) and the unknown side is the hypotenuse (line AB).

Sin 50.17 = opposite/hypotenuse

Sin 50.17 = 4/AB

0.7679 = 4/AB

By cross multiplication we now have

AB = 4/0.7679

AB = 5.2090

Approximately to one decimal place,

AB = 5.2 units

ans789

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )