HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
1 answer:
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>
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We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay (0.048)(3.41)=$0.16 for that gasoline.
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For our first situation, <span>drive 0.3 miles to fill up for $3.59 per gallon:
</span>
<span>We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay (0.012)(3.59)=$0.04 for that gasoline.
For our second situation, </span><span>drive 1.2 miles to fill up for $3.41 per gallon:
</span>
We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay (0.048)(3.41)=$0.16 for that gasoline.
We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive <span>1.2 miles to fill up for $3.41 per gallon.</span>
9514 1404 393
Answer:
shift it down 5 units
Step-by-step explanation:
Subtracting 5 from every y-value moves the graph down 5 units.
To make the new graph, translate every point down 5 units.
