Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
Using this formula, we get
Now,
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
The hypotenuse would be square root of 41
Answer:
Group 2
Step-by-step explanation:
Because in group 2 they have more 46 year old tourists so it is most likely that the random 46 year old belongs to group 2.
Notice that the terms in parentheses on both sides of the equation are added to 4.
(3x + 4) + 4 = (5x - 4) + 4
So we can set the equation as.
3x + 4 = 5x - 4
Subtract 3x on both sides of equation.
4 = 2x - 4
Add 4 on both sides of equation.
8 = 2x
Divide both sides of equation by 2.
4 = x
4 is the only value that satisfies the statement.
Answer:
2.2.1 Area = 12.6 cm²
2.2.2 Area = 12 cm²
Step-by-step explanation:
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<u>2.2.1:</u>
The radius of the big circle is half the length of the square = 2.5 cm
The radius of the small circle is half of 3 cm = 1.5 cm
The area of the shaded portion is = Area of big circle - Area of small circle
π × 2.5²-π × 1.5² = 12.6 cm²
<u>2.2.2</u>
To find length BD (the height of the parallelogram) we need to use the Pythagorean theorem:
BD = √(5²-3²) = 4
Area = base x height = 3x4 = 12 cm²
