Hi there! To solve this question, we can just simply multiply 3 1/8 and 5, because we're looking for the total length of the board, before it was cut into 5 equal pieces. To multiply fractions, just do it straight across. Numerator * numerator / denominator * denominator. 3 1/8 as a mixed number is 25/8 and 25/8 * 5/1 is 125/8 or 15 5/8 in mixed number form. There. The board was 15 5/8 inches long. The answer is D.
Recall that ln() is just a shorthand for logₑ or the natual logarithm.
Answer:
Look at the proof down
Step-by-step explanation:
The given is;
→ ∠1 and ∠2 form a linear pair
→ ∠1 ≅ ∠3
We want to prove;
→ ∠2 and ∠3 are supplementary
<em>We will write the proof in like a table</em>
1. ∠1 and ∠2 formed a linear pair ⇒ 1. Given
2. m∠1 + m∠2 = 180° ⇒ 2. Sum of angles on a straight line
3. ∠1 and ∠2 are supplementary angles ⇒ 3. Supplementary angles add up to 180°
4. ∠1 ≅ ∠3 ⇒ 4. Given
5. m∠2 + m∠3 = 180° ⇒ 5. Substitution method
6. ∠3 is a supplement of ∠2 ⇒ 6. Supplement of equal angles
7. ∠2 and ∠3 are supplementary ⇒ 7. Proved
Step 
<u>Find the slope of the given line</u>
Let
slope mAB is equal to
Step 
<u>Find the slope of the line that is perpendicular to the given line</u>
Let
CD ------> the line that is perpendicular to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to 
so
Step 
<u>Find the equation of the line with mCD and the point (3,0)</u>
we know that
the equation of the line in the form point-slope is equal to
Multiply by both sides
therefore
the answer is
the equation of the line that is perpendicular to the given line is the equation
