Answer:
60°
Step-by-step explanation:
Angle 1 is a vertical angle to 60° by the definition of a vertical angle.
FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.
For instance, if we multiply the two expressions
(x + 1) (x + 2)
then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].
Now, compare this to multiplying a pair of two-digit integers:
37 × 43
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3)
= 1200 + 90 + 280 + 21
= 1591
The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.
Answer:
The slant height is 
Step-by-step explanation:
The slant height of the cone, 
, can be found using Pythagoras Theorem.
Answer: the maximum number of bundles of comic books that the box can carry is 7
Step-by-step explanation:
Let x represent the maximum number of bundles of comic books that the box can carry.
If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.
A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is
8x ≤ 60
x ≤ 60/8
x ≤ 7.5
