Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
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Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
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The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
Answer: Yes
Step-by-step explanation:
Given that:
Distance from present location to CheapGas = 4 miles
Price of gas at CheapGas is $0.37 cheaper
Hence, the decision to make a U-turn back to CheapGas or continue on intended destination will rely on two factors ;
1) The number of gallons of gas to purchase
2) The cost of gas required to return to cheap gas.
If a substantial amount of gas is to be purchased, may be 50, 100 or more gallons, the amount saved by making a turn back to cheapGas and purchase gas at $0.37 cheaper per gallon.
Answer:Oy=2x+3
Step-by-step explanation:
