Answer:
C. x=4
Step-by-step explanation:
In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.
Answer:
Step-by-step explanation:
The volume of the aquarium is 2880 in^3.
Height of the aquarium is 4 inches
The base of the aquarium is rectangular in shape.
Let the length be L
Let the width be W
The length of the rectangle is 4 inches more than twice the width. It means that
L = 2W + 4
The volume of the aquarium is expressed as L × W × H
Therefore
L × W × H = 2880
Since H = 4,
4LW = 2880
LW = 2880/4 = 720
LW = 720 - - - - - - - -1
Substituting L = 2W + 4 into equation 1, it becomes
W(2W + 4) = 720
2W^2 + 4W - 720 = 0
W^2 + 2W - 360 = 0
W^2 + 20W - 18W- 360 = 0
W(W +20) - 18(W + 20) = 0
W-18 = 0 or W + 20 = 0
W = 18 or W = -20
Since the width cannot be negative, it is 18 inches
L = 720/W = 720/18
L = 40 inches
Length is 40 inches
Width is 18 inches
Answer:
47
Step-by-step explanation:
Answer:
Step-by-step explanation:
![We\ are\ given:\\TU=SQ\\TP=PQ\\\angle TPU= \angle SPQ [Vertically\ Opposite\ Angles\ Are\ Equal]\\Hence,\\As\ we\ are\ given,\ 2\ sides\ and\ 1\ angle\ of\ each\ triangle\ correspond,\ we\\ could\ use\ the\ SAS\ Congruency Rule.\\But:\\](https://tex.z-dn.net/?f=We%5C%20are%5C%20given%3A%5C%5CTU%3DSQ%5C%5CTP%3DPQ%5C%5C%5Cangle%20TPU%3D%20%5Cangle%20SPQ%20%5BVertically%5C%20Opposite%5C%20Angles%5C%20Are%5C%20Equal%5D%5C%5CHence%2C%5C%5CAs%5C%20we%5C%20are%5C%20given%2C%5C%202%5C%20sides%5C%20and%5C%201%5C%20angle%5C%20of%5C%20each%5C%20triangle%5C%20correspond%2C%5C%20we%5C%5C%20could%5C%20use%5C%20the%5C%20SAS%5C%20Congruency%20Rule.%5C%5CBut%3A%5C%5C)
<em>As SAS Congruency Rule tells us that 'Two triangles are congruent only if two sides and an included angle of one triangle corresponds to two sides and an included angle of the other' .</em>
<em>Here,</em>
<em>As ∠TPU and ∠SPQ are NOT the included angle of ΔTUP and ΔSPQ respectively, the two triangles cannot be proven congruent through SAS Congruency.</em>
<em>Note: We also cannot apply SSA congruency as SSA congruency doesnt exist.</em>
