If DE is the midsegment of ABC what is the value of x AND y?

3.) x = 4.5

4.) y = 7

Step-by-step explanation:

3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!

Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.

But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have!  We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...

Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)

Have a nice day. Feel free to Ask questions. Spread The Love.

Power factor is 0.8517 or 85.17%

Step-by-step explanation:

We are given that in a parallel circuit, , R=39kΩ and =24kΩ.

That means the circuit has a resistor element, inductor element in parallel with 208V applied across the terminal.

Let us find the current through resistor,

milli amps

And current through inductor, milli amps.

Hence total current,

Now power factor=

Hence power factor is 85.17% or 0.8517