I need help with this math problem please
1 answer:
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Answer:
Given : ∠ABC is a right angle, ∠D BC is a straight angle.
To prove :∠AB D is a right angle.
Proof: ∠ ABC = 90°[ Given]
∠ D BC= 180° [ D BC is a straight line]
now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.
∠ AB D +∠ AB C =180° [By linear pair axiom]
⇒∠ AB D + 90= 180°
⇒∠ AB D=180°-90°
⇒∠ AB D=90°
∠AB D is a right angle
Hence proved.
Answer:
The width of rectangle is 1 unit.
Step-by-step explanation:
Given:
The area of rectangle is 6 units and its width is 5 units less than the length.
So, to find the width of rectangle.
Let the length be and the width be
.
Now, to find the width we put the formula of area of rectangle:
Area = length × width
<em>On solving equation we get:</em>
Therefore, we take the value x=6 as it is positive value:
So, the width of rectangle:
Width =
=
=
Therefore, the width of rectangle is 1 unit.