Answer:
x = 29°
Step-by-step explanation:
the Δ on the right has 3 angles whose measures are 30°, 74°, and 76° (you get 76° because it forms a linear pair with an angle that is 104°; you get 74° by adding 30 and 76 and subtracting the sum from 180°.
the Δ on the left has 3 angles whose measures are 45°, 29°, and 106° (you get 106° because it forms a linear pair with an angle that is 74°; you get 29° by adding 45 and 106 and subtracting the sum from 180°.
∡x is a vertical angle with the angle that measures 29° and vertical angles are congruent
16. 27/20 = k/2
Switch sides. (Optional)
k/2 = 27/20
Multiply them by 10.
k/2 × 10 = 27/20 × 10
Simplify.
5k = 27/2
Divide both sides by 5.
5k÷5 = 27/2÷5
Simplify.
k= 27/10
(6,4)
This website helps
https://www.mathportal.org/calculators/analytic-geometry/triangle-calculator.php
Step-by-step explanation:
a= 1/3
common ratio = -3
the 8th term is given by,
20 : 0.75 = 40 : 1.5 = 80 : 3
