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:
x=6. x=15
Step-by-step explanation:
13. x=6
16. x=15
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
Answer:
The first and third answer I believe.
Step-by-step explanation:
The side with 3 can go over 1.5, since they are both at the same side. It will be equivalent to 4 over 2 because they are also the same side. (1st option)
Multiplying each side by 1/2, does result you to the final image.
3 multiplied by 1/2 is 1.5
4 multiplied by 2 is 2
