Karen is using an indirect method to prove that segment de is not parallel to segment bc in the triangle abc shown below: she starts with the assumption that segment de is parallel to segment bc. which inequality will she use to contradict the assumption? a. 6: 7 ≠ 2: 7 b. 6: 8 ≠ 7: 10 c. 6: 2 ≠ 7: 10 d. 6: 2 ≠ 3: 2

B, 6:8 ≠ 7:10.

Step-by-step explanation:

Option B

Step-by-step explanation:

In order to prove that segment DE is not parallel to segment BC, Karen takes an indirect way, that is she assumes that DE is parallel to BC, then by using the basic proportionality theorem,

Now, AD=6, AB=AD+DB=8, AE=7 and AC=10

therefore, according to basic proportionality theorem, but in actual, .

Thus, DE is not parallel to BC, therefore Option B is correct.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d