sorry if my handwriting is bad:
Because 6 * 8 + ( - 2 )* 24 = 48 - 48 = 0 , the vectora u and v are orthogonal ;
Two vectors are orthogonal if their dot product is zero.<span />
Answer:
x = 67
Step-by-step explanation:
If the measure of the entire chord is 166°, then if you add the two angles that form it together, it will equal 166.
So,
x + 15 + x + 17 = 166
Simplify.
2x + 32 = 166
Subtract 32 from both sides.
2x = 134
Divide both sides by 2.
x = 67
I hope this helps! Feel free to ask any questions!
Answer:
6 feet
Step-by-step explanation:
Let x represent the length of "another side." Then "one side" is ...
2x -10 . . . . . . 10 feet shorter than twice another side
The sum of these two side lengths is half the perimeter, so is ...
x + (2x -10) = 14 . . . . . two sides are half the perimeter
3x = 24 . . . . . . . . . . . . add 10, collect terms
x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x
(2x -10) = 2·8 -10 = 6 . . . . find "one side"
We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.
