Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
The answer to your question is A.
Answer:
Step-by-step explanation:
The first line has a slope of -5/3 found using the points in the slope formula.
Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form 
.
Answer:
.
Step-by-step explanation:
We have been an division problem: 
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents 
we can write:
Substituting these values in our division problem we will get,
Using power rule of exponents 
we will get,
Using product rule of exponents we will get,
Using power rule of exponents we will get,
Using quotient rule of exponent 
we will get,
Therefore, our resulting quotient will be .
So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
