Answer:
a, c, c, d, c, c.
Step-by-step explanation:
I worked out the math
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:
Hey there!
For this question we want to find 32% of 1239500.
0.32(1239500)=396640.
Hope this helps :)
Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
We need to build a system of equations:
a + b + c = 127......(1)
b - c = 13..............(2)
a - b - c = 41..........(3)
adding equations (1) and (3):-
2a = 168
a = 84
Substituting for in equation (1)-
84 + b + c = 127
b + c = 43...........(4)
Adding equations (2) and (4):-
2b = 56
b = 28
Finally from equation (2)
c = 28-13 = 15
Answer is Country a had 84 points , b had 28 points and c had 15 points.
