Answer:
48
Step-by-step explanation:
u • w
= (i + 6j ) • (9i - 2j )
= (1 × 9 ) + (6 × - 2 )
= 9 + (- 12)
= 9 - 12
= - 3
v • w
= (5i - 3j ) • (9i - 2j )
= (5 × 9) + (- 3 × - 2)
= 45 + 6
= 51
Then
u • w + v • w
= - 3 + 51
= 48
Step-by-step explanation:
step 1. I guess we assumed the two lines across the transversal are parallel
step 2. 3x + 1 = 85 (definition of alternate exterior angles)
step 3. 3x = 84 (subtract 1 from each side)
step 4. x = 28. (divide both sides by 3)
8/11 cant be an improper fraction because the numerator is smaller than the denominator
Answer:
Step-by-step explanation:
As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.
Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (
), where (
) and (
) are the legs of the right triangle, or the sides adjacent to the right angle. (
) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve, note that () represents the unknown leg (side).
Inverse operations,
