Answer:
Prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals. Step-by-step explanation: In order to two segmets to be perpendicular, the slope of both lines must be opposite and reciprocals, having a 90° interception and forming a square.
<em><u>Answer:</u></em>
The radii are OA , OB and OC
<em><u>Explanation:</u></em>
<u>The radius of the circle</u> is defined as the line joining between the center of the circle and a point that lies on the circumference of the circle
<u>In the given circle:</u>
The center is "O"
The three points that lie on the circumference are A, B and C
<u>Based on the above definition, the three radii would be:</u>
OA, OB and OC
Hope this helps :)
Answer:
See step-by-step explanation below
Step-by-step explanation:
This problem is solved using the Euclidean algorithm; to prove that the integers 8n + 3 and 5n + 2 are relative prime we have to prove that:
gcd(8n + 3, 5n + 2) = 1
gcd (8n + 3, 5n + 2) = gcd (3n + 1, 5n + 2) = gcd (3n + 1, 2n + 1) = gcd(n, 2n + 1) = gcd(n,1) = 1
⇒gcd(8n + 3, 5n + 2) = 1
Answer:
$12,000.
Step-by-step explanation
Length of garden = 160 m
Width of garden = 30 m
area of rectangle = length * width
substituting vale of length and width for rectangular garden we have
area of rectangular garden = 160 m * 30 M = 4800 sq. m
cost of leveling one sq. m is $2.50
and it is required to level 4800 sq. m
hence to total cost to level rectangular garden = area of rectangular garden * cost of leveling one sq. m of space
=4800 * 2.5
= 12,000
Therefore cost of leveling rectangular garden is $12,000.
“y” is a part of a straight angle, so
131 + y = 180
y = 180 - 131
y = 49 [degrees].
