Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative
Answer:
5.8com shorter
Step-by-step explanation:
I used the pythagoremy theorem to find the missing side length.

Answer:
a) True
Step-by-step explanation:
The left side is where the corner or 0 is, so if a line goes up towards the right, the answer would be positive.
Answer:
42
Step-by-step explanation:
Line m and l are parallel so C and where that intersection is on the inside have the parallel lines, the angle there is an same side interior angle with C. Those add up to 180 degrees. So 180-82 is 98. Use vertical angle to find the angle in the triangle (not x yet; the other one). Vertical angles are congruent so that one is 98.
Now angles in a triangle add up to 180 degrees.
So we have 40+98=138.
The difference between 180 and 138 is 180-138=42 (that is x)