The exterior angle is = to the 2 interior angles.
83 = (9x + 4) + (4x + 1) Remove the brackets
83 = 9x + 4 + 4x + 1 Group the like terms
83 = 9x + 4x + 4 + 1 Add the like terms.
83 = 13x + 5 Subtract 5 from both sides.
78 = 13x Divide by 13
78 / 13 = x
x = 6
So They want the angles
9x + 4 = 9*6 + 4 = 58
4x + 1 = 4*6 + 1 = 25
When you add these two together you should get 83. Do you?
Given:
The volume of a prism with equilateral triangular cross-section is 270cm³.
Length of the prism =
cm
To find:
The length of the side of the equilateral triangular cross-section.
Solution:
Formulae used:
Area of an equilateral triangle is

Where a is the side length of equilateral triangle.
Volume of prism is

Where, B is base area and h is the height of the triangular prism.
Cross section of the prism is an equilateral triangular so the base area of the prism is
sq. cm.
The volume of the prism is




Divide both sides by 7.5.




It takes only positive value because the side cannot be negative.
Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.
Answer:
6 pounds of potatoes = $9
3 pounds of onions = $9
The onions cost $3 per pound
and the potatoes cost $1.50 per pound
Step-by-step explanation:
Answer:
9) <4=89
10) x=35
Step-by-step explanation:
9) 52+39=91
180-91=89
10) 2x+x+13+62=180
3x+75=180
-75 -75
3x=105
105/3=35
Answer:
Step-by-step explanation:
The area of a circle is :A= π r² r : the radius
A= 8π square units
so : π r² = 8π
r² = 8
r = √8 = √(4 × 2) =√4×√2
r = 2√2 units