Step 1: Divide both sides by x.<span><span><span>fx</span>x</span>=<span><span><span>−<span>4.5x</span></span>+7</span>x</span></span><span>f=<span><span><span>−<span>4.5x</span></span>+7</span>x</span></span>Answer:f=<span><span><span>−<span>4.5x</span></span>+7</span><span>x</span></span>
Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
Answer:
<h3>Option c)
is correct</h3><h3>
The alternate hypothesis for the significance test is </h3>
Step-by-step explanation:
The alternate hypothesis use the sumbol for the population value
Let p be the proportion , Mean be 
and stadard deviation be 
The null hypothesis states that population value is equal to the value mentioned in the given claim.
(by given).
The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )
∴
The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.
<h3>∴ option c)
is correct.</h3>
