A student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x −
2
13
)

−6(4x) + 6 ( −
2
13
)

−24x −
12
13

The student's work is incorrect because the student didn't distribute all through with -6.

Step-by-step explanation:

Let us expand the given expression to see whether the student made a mistake or not, and where the mistake was made, if there was any.

To expand, distribute -6

(check the work of the student at this step. This is where the student made a mistake. The student used +6 to multiply the 2nd term in the bracket instead of -6)

(negative multiply by negative equals positive).

The work of the student is incorrect because the student didn't distribute -6 all through. The student used -6 for the first term, and also used +6 for the second term in the parentheses.

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.