The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:
P = 2<em>w</em> + 2<em>l</em>
64 = 2(x+2) + 2(x+6) ⇒ Distributive property
⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms
⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides
⇒ 48 = 4x ⇒ Divide both sides by 4
⇒ x = 12
Then, we use x = 12 and substitute it in to find the length and width
<em>Width</em> = (x+2) = (12+2) = 14
<em>Length</em> = (x+6) = (12+6) = 18
The dimensions of the patio is <u>14 by 18</u>
Let G be some point on the diagonal line away from point E.
Angle DEG represents angle 1.
We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.
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Extra side notes:
If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.
If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.
Answer: The speed of the bird when it flies against the wind would be 8 meters per second
Answer:
4(x+1)/(4x+5)
4(x+1)/(5-4x)
4(x-(-1))/(4x+5)
Step-by-step explanation:
The numerators in the fractions must equal to 0, or else the expressions won’t have the result of 0.
4(x+1)
4(-1+1)
4(0)
= 0
4(x-(-1))
4(-1-(-1))
4(-1+1)
4(0)
= 0
The expressions with the numerator as 0 have the result of 0.
Answer:
(a - 3b)(a + 3b)
Step-by-step explanation:
a² - 9b²
(a)² - (3b)²
(a - 3b)(a + 3b)
