Question 1.). Solve:
2 (x - 1 / 2) = 3 (5 - 2x)
Simplify both sides of equation:
2( x - 1 / 2 ) = 3(5 - 2x )
(2) (x) + (2) ( -1 / 2 ) = (3) (5) + (3) ( -2x )
Distribute:
2x + - 1 = 15 + -6x
2x - 1 = -6x + 15
Add 6x to both sides:
2x - 1 + 6x = -6x + 15 + 6x
8x - 1 = 15
Add 1 to both sides:
8x - 1 + 1 = 15 + 1
8x = 16
Divide both sides by 8:
8x / 8 = 16 / 8
Answer: 2 (x - 1 / 2) = 3 (5 - 2x) ==========> x = 2
Question 2.).
M =======> Amount Malik need
Solution: =========> m ≥ 5
Inequality ========> 8 + 7 + 10 + m ≥ 30
25 + m ≥ 30
Interpretation ==========> Malik needs at least, $5 .00 to get to, $30.00 or more.
Is the solution reasonable ===========> YES
Hope that helps!!!!! : )
Complementary angles add up to 90 degrees. We know that AXB is 20 degrees, and AXB is complementary to CYD and FZE. So CYD and FZE are 90-20, so each angle is 70 degrees
CYD = 70 degrees
FZE = 70 degrees
CYD + FZE = 70 + 70 = 140
Supplementary angles are two angles that add up to 180°.
STEP 1:
find the value of x
x= smaller angle
10x + 48= larger angle
Add the two angles above to equal 180.
x + (10x + 48)= 180
combine like terms
11x + 48= 180
subtract 48 from both sides
11x= 132
divide both sides by 11
x= 12° smaller angle
STEP 2:
find the value of the second angle
=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle
CHECK:
12° + 168°= 180°
180°= 180°
ANSWER: The smaller angle is 12° and the larger angle is 168°.
Hope this helps! :)
Answer:
provides a procedure to hand-draw a square and a circle of equal area
Step-by-step explanation:
According to Vitruvian Man, an arm span and height have a nearly perfect correspondence in the human body. As a result, the body is placed perfectly inside a square. Buildings and other works of man should also occur depending on these proportions. All of this ties in with the problem of finding a procedure to hand-draw a square and a circle of equal area.
