You first wanna find <BAD, because if AB is perpendicular to AC, then it has to form a 90 degree angle. So 90-56=34 degrees. So now you have a 34 & 63 degrees in the ABD triangle. In a triangle, all angles add up to equal 180 degrees. So 34+63+x=180...and x=83. So <ADB= 83 degrees. Now you want to find angle ADC...which you can just subtract 83 from 180 (because <ADB & <ADC forms 180 degree angle). You will then get 97 as angle ADC. So, the same thing as before, add up 56+97+x=180, because all angles (in the triangle ADC) add up to be 180 degrees. X will then equal 27 degrees. Angle ACB= 27 degrees.
There are many different ratios that are equivalent to 1:6. The way to get an equivalent ratio is to multiple the same integer by the numerator and denominator. So if you multiplied the top and bottom by 2, the ratio would not be 2:12, which is equivalent to 1:6.
Answer: The equation for line b is
The equation for line t is
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
The answer is B
I know this because 8 divided by -4 =-2
Therefore the answer is: B