Answer:
Proved
Step-by-step explanation:
Given




Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
<u></u>
<u>Taking BU and GS as a pair</u>
First, we calculate the slope using:

For BU
--- 
--- 
So, we have:



For GS
--- 
--- 
So, we have:



<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>
<u>Taking BS and GU as a pair</u>
Calculate the slope
For BS
--- 
--- 
So, we have:



For GU
--- 
--- 
So, we have:



The slope of BS and GU are the same; hence, they are parallel.
<em>BUGS is a trapezoid because BS and GU have the same slope</em>
Answer:
94.18
Step-by-step explanation:
Given in the question a semi circle and a right angle triangle
Step 1
Find the diameter of the semi circle
To find the diameter we will use pythagorus theorem
<h3>hypotenuse² = height² + base²</h3>
here,
hypotenuse will be diameter of semicircle
height = 9
base = 4
Plug values in the formula above
diameter = √(9²+4²)
diameter = √97
Step 2
Find radius
<h3>radius = diameter / 2</h3>
Step 3
Area
<h3>π(r)²</h3>
π(√97/2)²
= 76.18
Step 4
Total surface area = area of circle + area of right angle triangle
= 76.18 + 1/2(9)(4)
= 94.18
(3/8) / 1 = (3/4) / x.....3/8 oatmeal to 1 batch = 3/4 oatmeal to x batches
cross multiply
(3/8)(x) = (3/4)(1)
3/8x = 3/4
x = (3/4) / (3/8)
x = 3/4 * 8/3
x = 24/12
x = 2 <==== 2 batches were made
Divide both sides by 2
14 = x
Solution: x = 14