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Exponents have the highest priority, so we evaluate 3 cubed first:

Next, we have to solve parenthesis first: we have 27-8 = 19, so the expression becomes

Multiplications and divisions have the same priority, so we perform them as they appear:
, so the expression becomes

Answer:


Step-by-step explanation:
Consider triangles AMP and ADC. In these triangles,
- angle A is the common angle, so
by reflexive property; - angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.
Hence, triangles AMP and ADC are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus

so

Consider triangles ACB and PCN. In these triangles,
- angle C is the common angle, so
by reflexive property; - angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.
Hence, triangles ACB and PCN are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus

so

9 + 9n = 9
*subtract 9 from both sides
9n = 0
*divide both sides by 9
n = 0/9 = 0
n = 0
Answer:
X = 65.
Step-by-step explanation:
The range is the greatest number - least, so we have:
X - 12 = 53
X = 53 + 12 = 65.