A rectangular poster is three times as it is wide. A rectangular banner is five times as long as it is wide. But the banner in t
1 answer:
Answer:
The length of the rectangular banner is 10 inches
The width of the rectangular banner is 2 inches .
Step-by-step explanation:
Given as :
The length of rectangular banner is five times as long as its width
The perimeter of rectangular banner = P = 24 inches
Let The width of rectangular banner = w inches
And The length of rectangular banner = 5 w inches
Now, According to question
The perimeter of rectangular banner = perimeter of rectangle = 2 × length + 2 × width
Or, The perimeter of rectangular banner = 2 × 5 w + 2 × w
Or, 24 inches = 10 w + 2 w
Or, 24 inches = 12 w
∴ w =
I.e w = 2 inches
So, The width of rectangular banner = w = 2 inches
Put the value of w to get length
So, The length of rectangular banner = 5 × 2 = 10 inches
Hence The length of the rectangular banner is 10 inches and The width of the rectangular banner is 2 inches . Answer
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Answer:
1) 40°
2) 140°
3) 140°
5)40°
6)140°
7)140°
8)40°
Step-by-step explanation:
1 = 40 ° <em> [Vertically Opposite angles are equal]</em>
8 = 40 ° <em>[Corresponding Angles are equal]</em>
5 = 8 = 40° <em> [Corresponding Angles are equal]</em>
7 = 180° - 40° = 140° <em>[Supplementary angles sum 180°]</em>
6 = 140° <em> [Vertically Opposite angles are equal]</em>
2 = 140° <em>[Corresponding Angles are equal]</em>
3 = 140 ° <em> [Vertically Opposite angles are equal]</em>
Answer:
x = 12
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Using Pythagoras' identity on the right triangle on the right.
( x )² + 3² = (
)² , that is
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 )
x² = 144 ( take the square root of both sides )
x = = 12