Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.
Explanation:
The conjecture, #angleA and angleC# allows us to write the following equation:
#angleA + angleC=180^@#
Substitute the equivalent expressions in terms of x:
#x+2+ x-2 = 180^@#
#2x = 180^@#
#x = 90^@#
From this we can compute the measures of all of the angles.
#angleA=92^@#
#angleB=100^@#
#angleC=88^@#
<span>#angleD= 80^@#</span>
Answer and Step-by-step explanation:
To solve, we would set the first number to x, and make an equation.
<u>Solve for x.</u>
x + (x - 6) + 3x = 69.
<u>Add and combine like terms.</u>
2x + 3x - 6 = 69
5x - 6 = 69
<u>Add 6 to each side of the equation.</u>
5x = 75
Divide by 5 to both sides.
x = 15
<u>The first number is 15.</u>
<u>The second number is (x - 6) = (15 - 6) = 9.</u>
<u>The third number is 3x = 3(15) = 45.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
<em>Expand:</em>
2W² +W= 28
<em>-28 on both sides:</em>
2W² +W -28= 0
<em>Factorise</em><em>:</em>
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
Any number to the power of 0 equals 1.
The number in decimal notation without exponents is 4.48
