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°
Answer:
a=7
Step-by-step explanation:
Given,
6a-7=3a+14
or,6a-3a=14+7
or,3a=21
or,a=7 [ANSWER]
Because the boarder goes around all edges, 6 in must be subtracted from 6ft and 4ft.
6ft - 6in = 5.5 ft
4ft - 6in = 3.5 ft
Area of the bulletin board: (5.5)(3.5) = 19.25 ft
Answer:
a = 13, b = - 3
Step-by-step explanation:
Expand the left side and compare like terms on both sides
(3x + 1)(x - 2) ← expand using FOIL
= 3x² - 5x - 2
left side = 3x² - 5x - 2 + ax + b ← combine like terms
= 3x² + x(a - 5) + b - 2
right side = 3x² + 8x - 5
For the 2 sides to be equal then
a - 5 = 8 ( add 5 to both sides )
a = 13
and
b - 2 = - 5 ( add 2 to both sides )
b = - 3
Answer:
216
Step-by-step explanation:
