Answer: Your answer is 17/33! Hope this helps. If you need anymore help let me know!
Center of the door
26 1/3 divided by 2
change to an improper fraction
(3*26+1)/3 =79/3
79/3 divided by 2
copy dot flip
79/3 * 1/2
79/6
change to a mixed number
13 1/6
10 1/4 divided by 2
change to an improper fraction (4*10+1)/2 = 41/4
41/4 divided by 2
copy dot flip
41/4 * 1/2 =41/8
change to a mixed number
5 1/8
the left of the bar should be 5 1/8 from the center
to find how far from the left side to place the bar
13 1/6 - 5 1/8 =
get a common denominator
13 4/24 - 5 3/24= 8 1/24 inches
Answer: place the bar 8 1/24 inches from each edge
9514 1404 393
Answer:
132°
Step-by-step explanation:
Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.
Angle ZXQ is vertical to ∠x, so is the same measure.
Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...
∠YQX = 180° -51° -57° = 72°
This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...
∠z = 72° +60°
∠z = 132°
_____
<em>Additional comment</em>
The relations we used are ...
- vertical angles are congruent
- sum of angles in a triangle is 180°
- an exterior angle is equal to the sum of the remote interior angles
Think of it this way:
_ _ _ (3 digit number)
for the first blank you could have 7 possibilities
for the second blank you could have 6 possibilities
for the third blank you could have 5 possibilities
because each time you fill in a blank one number is removed from the list of possibilities
7×6×5=210. there are 210 possibilities
