Answer:
6(x-3)
Step-by-step explanation:
the common number for 6 and 18 is 6 so if you extract that from the expression then it turns to 6(x-3) which cannot be factored further
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem

we have

substitute

-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem

we have

substitute


----> equation B
equate equation A and equation B

solve for x

Simplify

<em>Find the length of DC</em>

substitute the given values


Since a letter is selected from a c c o m m o d a t i o n
Possible outcome:
It could be any of the thirteen letters. There are thirteen possibilities.
a c c o m m o d a t i o n
Answer: B
Step-by-step explanation:
7(-2) - 4(1) = -18
-14 - 4 = -18
-18 = -18
TRUE
(-2) + 12(1) = 10
-2 + 12 = 10
10 = 10
TRUE
You need this key result: in any polygon, the sum of the interior angles is

where
is the number of sides of the polygon.
Your polygon has seven sides, and the measures of all angles are given. So, we can write

Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.
We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:

and we can solve this equation for
by dividing both sides by 30:

Finally, the required angles is 