Answer:
(2)
Step-by-step explanation:
One property of a parallelogram is
• opposite angles are congruent, hence
∠L = ∠N and ∠M = ∠P
Using ∠L = ∠N, then
8x - 41 = 6x + 3 ( subtract 6x from both sides )
2x - 41 = 3 ( add 41 to both sides )
2x = 44 ( divide both sides by 2 )
x = 22
-------------
∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°
∠P = ∠M = 45° → (2)
Answer:
A) 15 cm B) 1292 cm^2
Step-by-step explanation:
A) height can be used by using Pythagoras theorem
Height^2+base^2=slant^2
height^2+8^2=17^2
height=15 cm
B) The amount of cardboard used can be found by calculating the area
Area=2*(area of triangle) + 3*(area of rectangles)
17*16+3*(20*17)=1292 cm^2
Answer:
3
Step-by-step explanation:
Note that
(
)² = a, for example
(
)² = 10² = 100 ← value inside the radical
Thus
(
)² = 3
4/5 x = 64
multiply both sides by 5/4
5/4 *4/5 x = 5/4 * 64
x = 80
