Answer:

Step-by-step explanation:
<u>Perfect squares</u>: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...
To find
, identify the perfect squares immediately <u>before</u> and <u>after</u> 75:


See the attachment for the correct placement of
on the number line.
Answer: A.) y = 15 B.) (5y + 3)° = 78° (4y + 8)° = 68° and 34°
Steps:
180° - 146° = 34°
180 = 34 + (5y + 3) + (4y + 8)
180 - 34 = (5y + 3) + (4y + 8)
146 = (5y + 3) + (4y + 8)
146 = 5y + 3 + 4y + 8
146 = 9y + 11
146 - 11 = 9y
135 = 9y
135/ 9 = y
15 = y
(5y + 3)
5(15) + 3
75 + 3
78
(5y + 3) = 78
(4y + 8)
4(15) + 8
60 + 8
68
68 = (4y + 8)
Check:
68 + 78 + 34 = 180
180 = 180 ✅
Answer:

Step-by-step explanation:
Given the equation;

Rearranging the equation, we have;

Lowest common multiple (LCM) of S and T is ST.

Cross-multiplying, we have;

Making R, the subject of formula;

Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.
The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).