Answer:
The value of x = 7
Step-by-step explanation:
To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.
In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees
The next thing to do is to add all the angles together and equate them to 180 degrees.
Angle WXZ + Angle ZXY + 90 = 180 degrees
7x+8 + 5x-2 + 90 = 180
12x + 96 = 180
12x = 84
x = 7
Answer:
KL = √10
Step-by-step explanation:
The product of KM and LN is twice the area, so is 12. This gives a quadratic in one or the other of those variables:
KM(8 -KM) = 12 . . . . the product of diagonals is twice the area
KM² -8·KM +12 = 0 . . . . rearrange to standard form
(KM -2)(KM -6) = 0 . . . . factor
KM = 2 or 6 . . . . values that make the factors zero
LN = 6 or 2 . . . . corresponding values of LN
The Pythagorean theorem tells you the side length from the diagonals:
KL² = (KM/2)² +(LN/2)² = 1² +3² = 10
KL = √10 . . . . . take the square root
Answer:
2 - 7i
Step-by-step explanation:
v + w = -3i + 2 - 4i = <u>2</u><u> </u><u>-</u><u> </u><u>7i</u>
Answer:
71.10
Step-by-step explanation: