In triangle FGH, the bisector of angle F also bisects the opposite side. The ratio of each half of the bisected side to each of the other sides is 1 : 2. What type of triangle is triangle FGH? Explain.

If the angle bisector also bisects the opposite side, then it's also a median *and* an altitude.  The triangle is isosceles.  

Draw the diagram: you have that altitude forming a pair of mirror-image right triangles.  In each, the short side is 1 and the hypotenuse is 2.  What does this tell you about the large triangle?

Then the rest you have to think... cuz it wasn't that hard.( If you still don't understand comment it, and then I will explain to you!)

HOPE IT HELP!

the opening of this porabola is facing up

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week