Check the picture below.
make sure your calculator is in Degree mode.
Answer:
The perimeter is 2252 yards.
Step-by-step explanation:
In a square all sides are equal.
Side = 563 yards
Perimeter = 563 x 4 = 2252 yards.
Answer:
1. Trapezoid
2. Kite
3. Square, Rhombus
Step-by-step explanation:
Given - Use the properties of quadrilaterals to complete the statements.
To find - A ..... has exactly one pair of parallel sides.
A ....... must have two pairs of adjacent sides congruent.
A ........ must have all congruent sides.
Proof -
A Trapezoid has exactly one pair of parallel sides.
A Kite must have two pairs of adjacent sides congruent.
A Square, Rhombus must have all congruent sides.
Reason -
- A trapezoid is a quadrilateral with exactly one pair of parallel sides.
- A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
- A rhombus is a parallelogram with four congruent sides.
- A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.
Answer:
The game is not fair
Step-by-step explanation:
Let us find the sample space. It is the sum of the two spins
1+1 1+2 1+3 1+4
2+1 2+2 2+3 2+4
3+1 3+2 3+3 3+4
4+1 4+2 4+3 4+4
Adding
2,3,4,5
3,4,5,6
4,5,6,7
5,6,7,8
P(2) = 1/16
p(3) = 2/16
p(4) = 3/16
p(5) = 4/16
p(6) = 3/16
p(7) = 2/16
p(8) = 1/16
Player A gets a point if the sum is 6 or more
P (6,7,8) = P (6) + P(7) + P(8) since they are independent event
=( 3+2+1) /16 = 6/16 = 3/8
Player P gets a point if the sum is less than 6
P (2,3,4,5) =P (2) + P(3) + P(4 + P(5)
(1+2+3+4)/16 = 10/16= 5/8
Player B has a better chance of winning, so the game is not fair
Let area of triangle AEC = x
Area of triangle BAC = 1/2 * 15 * 12 = 90
Area of triangle DCA = 1/2 * 15 * 6 = 45
90 = p + x and
45 = q + x Subtracting the 2 equations:-
90 - 45 = p - q
Answer p - q = 45