Answer:
x=3
Step-by-step explanation:
log₂(3x-1)=3
(3x-1)=2³
3x-1=8
3x=8+1
3x=9
x=9/3
x=3
Answer:
140 in²
Answer as a decimal rounded to the nearest hundredth = 140.00 in²
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Given:
- base = 20 in
- height = 14 in
Substituting the given values into the formula:
⇒ Area = 1/2 × 20 × 14
= 140 in²
Answer as a decimal rounded to the nearest hundredth = 140.00 in²
1. (7/21) = 0.33
2. (6/21) - (3/21) = (3/21)
= 0.14
Answer:
see explanation
Step-by-step explanation:
the ratio of the opposite interior angles = 8 : 9 = 8x : 9x
The exterior angle of a triangle = sum of the opposite interior angles, hence
8x + 9x = 119
17x = 119 ( divide both sides by 17 )
x = 7
8 parts = 8x = 8 × 7 = 56
9 parts = 9x = 9 × 7 = 63
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 angles from 180 for third angle in triangle
180° - (56 + 63)° = 180° - 119° = 61°
The 3 angles of the triangle are 56°, 61°, 63°