Note: Options are missing. So, the general solution of the given inequality is shown below.
Given:
The inequality is:
To find:
The point lies in the solution set of the given inequality.
Solution:
We have,
It can be written as:
All the points that satisfy the above inequality are in the solution set of the given inequality.
For example (0,0).
This statement is true. It means (0,0) is in the solution set.
For example (0,3).
This statement is false. It means (0,3) is not in the solution set.
The graph of the inequality is shown below.
All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.
Rachel is taller, she is taller by 23 cm
First, find the distance AB by the formula:
If A(0,-7) and B(8,8), then
Dilating polygon ABCD by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′, you increase the distance AB twice, A'B'=2AB. Thus, A'B'=2·17=34 units.
Answer: AB=17 units, A'B'=34 units.
The formula for the area of a trapezoid is:
A= (a+b)/2*h
A=150
h=10
b=14
a=?
So we need to solve for a. Let's plug in the values that we do know...
A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a
The other base is 16
The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.
<h3>What is a
quadrilateral?</h3>
A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are<em> kite, square, parallelogram</em> and so on.
The shapes that are under the trapezoid in the quadrilateral hierarchy are parallelogram and isosceles trapezoid.
Find out more on quadrilateral at: brainly.com/question/23935806
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