Answer:
0.083
Step-by-step explanation:
Answer and Step-by-step explanation:
Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect
The converse of this statement is the reverse of its statements hence:
If a polygon is a quadrilateral then a polygon is a square
The inverse of this statement is the negation of the statements hence :
If a polygon is not a square then a polygon is not a quadrilateral
The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:
If a polygon is not a quadrilateral then a polygon is not a square
Answer:
The length of the rhombus is =
Step-by-step explanation:
It is given that the Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC.Then,
AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:
⇒
⇒
Now, ΔDBE is similar to ΔABC, then
DE=
=
=
Thus, the length of the rhombus is =
Volume of cone = pie x radius square x height/3
A) volume = pie (6/2)^2 x 8/3 = 24pie
B) volume = pie (12/2)^2 x 16/3 = 192pie
We have to find the slope of these lines using the slope formula
<span>slope = (y2 - y1) / (x2 - x1) </span>
<span>Line WX : </span>
<span>(-1,2) x1 = -1 and y1 = 2 </span>
<span>(4,12) x2 = 4 and y2 = 12 </span>
<span>now sub into the slope formula </span>
<span>slope = (12 - 2) / (4 - (-1) </span>
<span>slope = 10/(4 + 1) </span>
<span>slope = 10/5 which reduces to 1/2 </span>
<span>so the slope of line WX = 1/2 </span>
<span>Line YZ : </span>
<span>(5,8) x1 = 5 and y1 = 8 </span>
<span>(-2,-6) x2 = -2 and y2 = -6 </span>
<span>now we sub into slope formula </span>
<span>slope = (-6-8) / (-2-5) </span>
<span>slope = -14/-7 </span>
<span>slope = 1/2 </span>
<span>so the slope in line YZ = 1/2 </span>
<span>Line WX and line YZ are : (D) parallel because the slopes are the same.</span>