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.
Number......frequency.....relative frequency
10 2 2/24 = 8.3%
20 2 2/24 = 8.3%
30 4 4/24 = 16.7%
40 2 2/24 = 8.3%
50 3 3/24 = 12.5%
60 5 5/24 = 20.8%
70 3 3/24 = 12.5%
80 1 1/24 = 4.2%
90 2 2/24 = 8.3%
total : 24
Answer:
1.2⋅10
−4
Step-by-step explanation:
Step-by-step explanation:
the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.
so,
y² + 7 = 32
y² = 25
y = 5
2y² = k
2×5² = k
50 = k
the opposite angle of 150 is also 150 degrees.
the opposite angle of x is also x.
so, we have as sum of angles
360 = 150 + 150 + x + x = 300 + 2x
60 = 2x
x = 30 degrees