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aksik [14]
2 years ago
11

What is the value of x?

Mathematics
1 answer:
Alex777 [14]2 years ago
8 0

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

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A freight elevator has a weight limit of 2 tons. each crate that is loaded weighs 80 pounds. what is the greatest number of crat
trasher [3.6K]
step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton

step 2
divide 2 ton by 0.036
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the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55 

alalternative method
</span>step 1
convert ton to pounds 
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb

step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
<span>

</span>
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