Answer:33
Step-by-step explanation: The expressions have equivalent values when x + 6
The expressions have equivalent values for any value of x.
When x=10 , both expressions have a value of 33.
Answer:
150ft^2
Step-by-step explanation:
FINDING THE LENGTHS
50 = x + 5 + x + x + 5 + x
50 = 4x + 10
50 - 10 = 4x
40 = 4x
40/4 = x
10ft = x
AMOUNT OF FLOORING
area = l x b
= (10 + 5) x 10
= 15 x 10
= 150ft^2
Again, your getting lost in the numbers. just think simply. a triangle has 180° and equilateral means all angles are exactly the same. Because of this, you know that m,n&o all equal 60°.
now it gets a little more complex when you split that to the smaller triangle and each of those have 180° within them.
it's safe to say that N is splitting it's full 60° equally between the three within it. making each one of the points at N equal to 20°. so solve for the rest to get y°.
We know M= 60°, O= 60°, N= 60° (20°,20°,20°) so to complete the triangle on the left we have one more angle that must be 100°. to complete the triangle on the right we have one more angle that must be 100° and to complete the center triangle we only know of 20° but have two equal angles left. So 180°-20°=160°. 160°÷2angles= 80° per angle to complete the center triangle.
that gives us y°=80°.
the X's are adding the smaller triangles to make the bigger triangle. so take 2x+4x+2x and divide that from the big triangle 180°. 8x=180° means x°=22.5°
Answer:
Equal sections AC and BD are set aside from the ends of section AB in different directions. The distance between the midpoints of section AC and BD is a and the length of section CD is b. What is the length of segment AB?