Answer:
The pin number is 1147
Step-by-step explanation:
We have given that:
Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.
Pin number is between 1000 and 1500
PIN is the product of two consecutive prime numbers.
Prime numbers are those numbers which are divisible by one or itself only.
So,
prime numbers are 1, 3, 5, 7,………29, 31,37, 41, …..
Multiply 29 x 31 = 899 which does not come in the range of 1000 and 1500.
Next,
31 x 37 = 1147 this is between 1000 and 1500
Next
37 x 41 = 1517, which is above 1500.
Thus the pin number is 1147....
Answer: 1 < x < 25
<u>Step-by-step explanation:</u>
The sum of two sides must be GREATER than the third side.
a + b > c a + c > b b + c > a
12 + 13 > x 12 + x > 13 13 + x > 12
25 > x x > 1 x > -1
x < 25 1 < x
Length cannot be negative so disregard x > -1
We are left with 1 < x and x < 25
1 < x < 25
<h3>Answers: </h3>
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
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Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
Answer:
expression equivalent is = 88d(5d-2)
