Two angles of an isosceles triangle are x and x+10.find two possible value of x

Recall two important facts:

- An isosceles triangle always has two identical angles

- The interior angles always add up to 180 degrees

Armed with this info, we can set up two different equations to solve for x, depending on which angle we treat as being one of the pair of identical angles.

If we assume that the identical angles are x, then:

180 = 2x + x + 10

170 = 3x

56 = x

Alternately, we can assume that the identical angles are x+10.  In this case:

180 = 2(x + 10) + x

180 = 2x + 20 + x

160 = 3x

53 = x

(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