Answer:
A product of factors is zero if and only if one or more of the factors is zero. That is, if ab = 0, then either a = 0 or b = 0 (or both).
Hence (x+3)(x+12) = 0 only if (x+3) = 0 or (x+12) = 0 or both. (x+3) = 0 when x = 3.(x+12) = 0 when x = 12.
Hence the values of x that make (x+3)(x+12) = 0 are x = 3 and x = 12.
Answer:
c. x = -9.
Step-by-step explanation:
The excluded value is the value of x which gives a value of 0 to the denominator, so that value would be x = -9.
Note: (x - 7) / 0 is undefined.
Okay, for this proof, I'll write the steps out.
Statements:
1. ABCD is a parallelogram
2. FG bisects DB
3. <GEB ≡ (pretend congruent symbol) <FED
4. DE ≡ BE
5. <CDA ≡ <ABC
6. < CDB ≡ <DBA
7. triangle DFE ≡ triangle BGE
8. FE ≡ GE
9. DB bisects FG
Reasons:
1. Given
2. Given
3. vertical angles are congruent
4. If bisected, then split into congruent parts
5. opposite angles of a parallelogram are congruent
6. Subtraction Property
7. ASA
8. CPCTC
9. segment split into congruent parts by other segment is bisected.
Hope this helped! :)
Answer:
3 miles= 4 minutes
? miles=60 minutes
<u>3 x 60</u>
4
=45 miles
Step-by-step explanation:
Answer: She spend $1.20 for lunch.
Step-by-step explanation:
Let the total amount be 'x'.
Half of her money spend for lunch be 
Half of her money left for a movie be 
Amount she has now = $1.20
So, According to question, it becomes ,

Hence, Amount she spend for lunch is 
Therefore, she spend $1.20 for lunch.