Sqrt(3x-20)-8 =-6
Add 8 to both sides
Sqrt(3x-20)=2
Square each side
3x-20=4
Add 20
3x=24
Divide by three
X=8
2 #'s whose sum is 51: x + y = 51
2 #'s whose difference is 13: x - y = 13
add the 2 equations: 2x = 64 ⇒ x = 32
using either equation find y: 32 + y = 51 ⇒ y = 19
Answer the 2 #'s are 32 and 19
Answer:
Angle 1 = 46°
Angle 2 = 44°
Step-by-step explanation:
Given:
Angle 1 = (4x - 2)°
Angle 2 = (3x + 8)°
Angle 3 = 90°
Find:
All acute angle
Computation:
Using angle sum property
Angle 1 + Angle 1 + Angle 1 = 180°
(4x - 2)° + (3x + 8)° + 90° = 180°
7x + 6 = 90
7x = 84
x = 12°
So,
Angle 1 = (4x - 2)° = 4(12) - 2 = 46°
Angle 2 = (3x + 8)° = 3(12) + 8 = 44°