Answer:
Step-by-step explanation:
So...
-2(16-4x)-8=6(x+2) Multiply
-32+8x-8=6x+12 Add like terms
-40+8x=6x+12 Subtract 6x from both sides
-40+2x=12 Add 40 to both sides
2x=52 Divide 2 from both sides
x=26 Substitute to check
-2(16-4(26))-8=6((26)+2) Add and multiply in parenthesis
-2(-88)-8=6(28) Multiply
176-8=168 Subtract
168=168
So x=26
I hope this helps! Have a great day!
I believe the correct answer from the choices listed above is option A. THe correct classification of the polygon in the figure would be a concave hexagon. Counting the number of sides, we have 6 sides making it a hexagon. It is concave since one side is <span>hollowed inward.</span>
Answer:
The area of LQM is 
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:

Substitute 8 for Area


The area of LPQ is calculated as:

Substitute 16 for Area

From the attachment:

Make LP the subject

So:

We have:
and 
Equate both expressions:

Divide both sides by PQ

Multiply both sides by 2


Since PNQ is similar to LNM, the following equivalent ratios exist:

Substitute 



Area of LQM is:

This gives:


Recall that:

So:


Answer:
D
Step-by-step explanation:
D