Angle measures are ∠M = 90° and ∠L = 24°
Step-by-step explanation:
- Step 1: In the figure, LM is a tangent to the circle N at point M.
Tangents create right angles at the point of contact with a circle.
So ∠M = 90°
- Step 2: Sum of angles in a triangle is equal to 180°
⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)
= 180° - 156° = 24°
Answer:
Step-by-step explanation:
<em>First, multiply by exponent rule.</em>
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<em>Then, multiply by the numbers from left to right.</em>
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<em>, </em><em>is the correct answer. </em>
Answer:
(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Step-by-step explanation:
Given
(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Thus
(a + b)³ + 8c³
= (a + b)³ + (2c)³
= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )
= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Answer:
The answer is 6 1/5 feet in width.
Step-by-step explanation:
Since the formula for area is <em>wl</em> or <em>width </em>x <em>length</em>, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.
Hope this helps!
