For the first question, we need two angles sitting on the line. We do not know if segments EG and AB are perpendicular, so cannot assume, even though they look like it.
A. DGB and EGA do not even have one leg common, so cannot be supplementary. so no.
B. DGB and CGB together add up to angle DGC which we know is a straight line. so yes.
C. CGB and AGD are vertical angles, and nothing tells us any of them is a right angle, so no.
D. EGA and EGC make an angle between segments CD and AB. so no.
E. EGD and CGB could be supplementary if we know CGB=EGC. But since we don't, so no.
For the second question, yes, you're right, take the second option in both, i.e. rotate 90 degrees (i.e. counterclockwise) about A, followed by a reflection about y, then translate downwards 20 units will give exactly GHIJ.
The fourth, rotate about B 90 degrees, then reflect about y-axis and translate down 25 is close, but need another translation (2,-1) to fit in the right place.
Perimeter = 300
Area = a(w)
Width = w
Perimeter = 300 and width = w ⇒ length = [300 - 2w ]/2 = 150 - w
Area, A = width * length = w(150-w) = 150w -w^2
Roots = w = 0 and w =150
Vertex
w =[0 + 150]/2 = 75
A = 75(150-75) = 75^2 = 5625
(75,5625)
Given that the coefficient of w^2 is negative, the vertex is the maximum of the function or area.
The second coordinate of the vertex (5625) is the maximum area the fence can enclose.
Answer: the maximum area that can be enclosed by the fencing.
Hope this helps!
Answer:
Radius = 3.38 cm
Step-by-step explanation:
<em>Here</em><em>'s</em><em> </em><em>your</em><em> </em><em>sol</em><em>ution</em>
<em> </em><em> </em>=> The volume of cylinder = 720π cm^3
=> The height of cylinder = 20 cm
=> Radius = ?
=> Formula of volume of cylinder = πr^2h
=> 22/7 * r^2 * 20 = 720π cm^3
=> r^2 = (720*7)/20*22
=> r^2 = 11.45
=> r = √11.45
=> r = 3.38 cm
hope it helps
For this expression, the variables are equal to:
<h3>What is an expression?</h3>
An expression is a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.
<u>Given the following expression:</u>
![\sqrt[4]{15^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B15%5E%7B7%7D%20%7D)
From the law of indices, we have:
![\sqrt[c]{a^{b} } =a^{\frac{b}{c} } \\\\\sqrt[4]{15^{7} } =15^{\frac{7}{4} }](https://tex.z-dn.net/?f=%5Csqrt%5Bc%5D%7Ba%5E%7Bb%7D%20%7D%20%3Da%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%20%7D%20%5C%5C%5C%5C%5Csqrt%5B4%5D%7B15%5E%7B7%7D%20%7D%20%3D15%5E%7B%5Cfrac%7B7%7D%7B4%7D%20%7D)
For this expression, the variables are:
Read more on expressions here: brainly.com/question/12819629
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