If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
x*18+4x*9=$1080
(18+36)x=$1080
54x=$1080
x=20
The number of casual shirts have been sold is 4*20=80
1) From building 1 to 2: 5 - (-3) = 8
2) From 2 to 3: 4 - (-5) = 9
3) From 3 to 4: 5 - (-3) = 8
4) From 4 to 1: 4 - (-5) = 9
Total: 8 + 9 + 8 + 9 = 34 units = 34*100 feet = 3400 feet.
Answer: 3400 feet
Step-by-step explanation:
angles a,f,g form a triangle
sum of angles in ∆ = 33 + 112+ a = 180
145 + a = 180
a = 35°
Multiplication property of equality
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
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