The sum of the measures of the angles of all triangles is 180 degrees. if one angle of the triangle measure 45 degrees. the measure of the other two angles is equal. what is the measure of the other two angles? write an equation and solve

67.5 degrees.

Step-by-step explanation:

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

The sum of the measures of the angles of all triangles is 180 degrees.

Hence, the equation is

x + x + 45 = 180

Solve the equation for x

2x + 45 = 180

2x = 180 - 45

2x = 135

x = 67.5

Therefore, measure of other two angles are 67.5 degrees.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2