If ĐPQR = 50°, what is the measure of its complement?

The measure of its complement is 40°

Step-by-step explanation:

∵ The measure of angle PQR equal 50 degrees

∴ m∠PQR = 50°

∵ Angle x is the complement angle of angle PQR

→ That means the sum of the measures of angle x and angle PQR is 90°

∴ m∠x + m∠PQR = 90

→ Substitute measure of angle PQR by 50°

∴ m∠x + 50 = 90

→ Subtract 50 from both sides

∴ m∠x + 50 - 50 = 90 - 50

∴ m∠x = 40°

∴ The measure of its complement is 40°

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.

fwms@lil_ben06

step-by-step explanation: