The answer is 119"
8.5" x 14 = 119"
Answer:
C) 145 degrees
Step-by-step explanation:
angles 2 and 5 are same side interior angles, which means they're supplementary. (they add together to make 180)
using that, you can make the following equation:
(x is angle 2 to avoid confusion)
35 + x = 180
<em>subtract 35 from both sides</em>
x = 180 - 35
x = 145
5 less = 5 minus
one forth of x = 1/4x
is y = =y
5-1/4x =y
Answer:
The exterior angles need to equal 360 degrees.
You have 70 + 65 + 75 = 210
So 2x + 3x need to equal 360 - 210 = 150
5x = 150
x = 150 /5 = 30
2x = 2 *30 = 60
3x = x *30 = 90
An interior angle and an exterior angle need to equal 180 degrees.
The largest interior angle would need to correspond with the smallest exterior angle.
The smallest exterior angle is 2x which equals 60 degrees.
The largest interior angle would be 180 - 60 = 120 degrees.
<span> FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. </span>
<span>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. </span>
<span>For instance, if we multiply the two expressions </span>
<span>(x + 1) (x + 2) </span>
<span>then the result is the sum of these four products: </span>
<span>x times x (the First terms of each expression) </span>
<span>x times 2 (the Outside pair of terms) </span>
<span>1 times x (the Inside pair of terms) </span>
<span>1 times 2 (the Last terms of each expression) </span>
<span>and so </span>
<span>(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2 </span>
<span>[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment]. </span>
<span>Now, compare this to multiplying a pair of two-digit integers: </span>
<span>37 × 43 </span>
<span>= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3) </span>
<span>= 1200 + 90 + 280 + 21 </span>
<span>= 1591 </span>
<span>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. </span>
