Answer:
30 dollar discount
Step-by-step explanation:
What do you need to work out?
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
<h3>Right angled triangle</h3>
A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.
For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.
Find the slopes of AB, BC and AC
Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5
Slope of BC = 0-5/7-1
Slope of BC = -5/6
Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11
Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
Learn more on right angle triangle here: brainly.com/question/22790996
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Answer:
A = 125 degrees and C = 35 degrees
Step-by-step explanation:
Since angles A, B, and C are all part of a triangle, we know that they add up to 180 degrees (because all angles of a triangle add to 180). So:
A + B + C = 180
We know that A = 6x - 1, B = 20, and C = x + 14, so we can plug these into the equation and solve for x:
(6x - 1) + 20 + (x + 14) = 180
7x + 33 = 180
7x = 147
x = 21
We want to find A and C, so we plug x back in:
A = 6x - 1 = 6 * 21 - 1 = 125 degrees
C = x + 14 = 21 + 14 = 35 degrees
Thus, A = 125 degrees and C = 35 degrees.
Hope this helps!
Answer:
309^2 - 147^2 is the same as 95,481 - 21,609.
95,481 - 21,609 = 73,872.
Prime Factors of 73,872 =2, 2, 2, 2, 3, 3, 3, 3, 3, 19
Which is the same as = 24 x 35 x 19