9514 1404 393
Answer:
all 4 acute angles: 15 degrees
all 4 obtuse angles: 165 degrees
Step-by-step explanation:
The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.
All four acute angles are 15°; all four obtuse angles are 165°.
Answer:
Step-by-step explanation:
∠A + ∠B = 90 {∠A & ∠B are complementary}
x + 16 + x - 12 = 90
x + x + 16 - 12 = 90 {Combine like terms}
2x + 4 = 90 { Subtract 4 form both sides}
2x = 90 - 4
2x = 86 {divide both sides by 2
x = 86/2
x = 43
Answer:
1350 mm²
Step-by-step explanation:
The area of each square face is the square of the edge length:
... face area = (15 mm)² = 225 mm²
There are 6 square faces on a cube, to the total surface area is 6 times that of one face:
... cube area = 6 × face area = 6×225 mm² = 1350 mm²
Substitute x = y + 1 into 2x - 3y = -1
2 - y = -1
Solve for y in 2 - y = -1
y = 3
Substitute y = 3 into x = y + 1
x = 4
Therefore,
<u>x = 4</u>
<u>y = 3</u>
