Answer:
4
Step-by-step explanation:
1×4 =4 , 4×4 =16, 16 × 4 = 64
6x+4x=180°
10x=180°
180/10x
x=18
6x and 4x are alternate interior angles and they can be added to each other to create a product of 180.
Answer:
this has to be a meme
Step-by-step explanation:
are you trolling us
Refer to the attached diagram for help.
All radii of a circle are congruent.
Tangent segs LP and LQ are congruent. (Tangent segs drawn to a circle from the same point are congruent)
Because of this we can establish OPLQ as a kite.
OPLQ is a kite implies that OL bis. angle PLQ.
An angle bis. divides an angle into 2 congruent, parts, so angle OLP must be 30 degrees.
Since tangents form right angles with the radius, angle OPL is right.
Now we have a right triangle OPL with a 30-degree angle. The other angle must be 60 degrees because of the no-choice theorem. (180-(30+90)) = 60
We know that OP is 6 because it is a radius of circle O. How do we use that to find OL? Well, we <em>could</em> use trig, but you might recognize this as a special triangle!
The side opposite the 30 degree angle = x
The side opposite the right angle = 2x
So OL must be 12!
Everything on this whole sheet is unit rates. Everything ! For the 2 carpenters, find the unit rate for each one (windows / hours), then see if one carpenter is doing more windows per hour than the other one. Don't forget THE RULE I gave you yesterday, when we were doing the detergent and the peanut butter.