Answer:
False
Step-by-step explanation:
50% of 86 would be 43, 49% would be a bit lower then that.
Answer:
i dont know im so sorry for making you feel like you
Step-by-step explanation:
i dont know im so sorry for making you feel like you
Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]
You cannot combine them in only one equation because they represent different things; so you will need two equations.
Now before we construct the two equations; lets set up our variables
Let a represent adult tickets
Let s represent student tickets
Now lets look at what we now about these two when thinking about them in money terms:
$3.50 per adult
$2.50 per student
Total made $937.50
Lets show it algebraically: 3.50a + 2.50s=$937.50
When thinking about the tickets in numbers we now the number sold were 321 so algebraically a + s = 321
Two equations; two variables; we can solve
a + s = 321
which is the same as
s= 321 - a
3.50a + 2.50s = 937.50
Since s = 321-a, we can substitute this into second equation:
3.50a + 2.50(321-a)=937.50
3.50a+802.5-2.50a=937.50
3.50a-2.50a+802.5=937.50
1.00a+802.5=937.50
a=135
Then s=321-135
s=186