Let <em>x</em> = 8.132132132... .
Then 1000<em>x</em> = 8132.132132132... .
Subtracting <em>x</em> from 1000<em>x</em> eliminates the fractional part, leaving you
999<em>x</em> = 8132 - 8 = 8124
Then
<em>x</em> = 8124/999 = 2708/333
Answer:
B. Given quadrilateral ABCD, BC⎯⎯⎯⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯⎯⎯⎯ are adjacent
Step-by-step explanation:
A. A square has 4 congruent sides and 4 congruent angles, so it is a regular polygon. True.
B. Draw the quadrilateral and label the vertices in the order shown. Given quadrilateral ABCD, BC and AD are opposite sides, not adjacent sides. False.
C. All angles of a rectangle are right angles that measure 90 degrees. True.
D. True by a theorem.
<u><em>Part 1:</em></u><u>Before we begin, you need to remember the following rule:</u>
<u>The given expression is:</u>
Since the base is the same in both numerator and denominator, we can apply the above rule. <u>This means that:</u>
= 12¹⁻³ = 12⁻²
<u><em>Part 2:</em></u><u>Before we begin, you need to remember the following rule:</u>
x⁻ᵃ =
Now, <u>from part 1</u>, we simplified the expression into 12⁻²
Since the power is negative, we can apply the above rule.
<u>This means that:</u>
12⁻² =
Hope this helps :)
Answer:
62
Step-by-step explanation:
180-56=124
124/2= 62
62+62+56=180
Answer:
Step-by-step explanation:
Split the trapezoid as pictured below
Find its height and the upper base, then find the area of the trapezoid.
There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles
- The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2
- The legs of a 45x45 triangle are equal
<u>The above mentioned properties give us:</u>
- h = 16/2 = 8 m
- b = 8√3 ≈ 13.85 m
- a = h = 8 m
<u>Now find the area:</u>
- A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²
Correct choice is B