Answer: <em>∠1 = 37.5°; ∠2 = 37.5°; ∠3 = 133°.</em>
Step-by-step explanation:
<em>∠1 = ∠2 = (180° - 105°) ÷ 2 = 37.5°</em>
<em>∠3 = 180° - 23° - 24° = 133°</em>
Smaller angle = 41°
Larger angle = 139°
Step-by-step explanation:
(7x - 1) + (2x + 1) = 180
7x + 2x - 1 + 1 = 180
9x = 180
x = 20
- The measure of the smaller angle is
2x + 1
= 2(20) + 1
= 40 + 1
<u>= 41°</u>
- The measure of the larger angle is
7x - 1
= 7(20) - 1
= 140 - 1
<u>= 139°</u>
Answer:
x = 1.5
y = 3
Step-by-step explanation:
to solve this system of equation using the substitution methods we say let
2x+3y=12................................... equation 1
y=x+1.5..................................... equation 2
substitute equation 2 into equation 1
2x+3y=12................................... equation 1
2x + 3( x + 1.5) = 12
2x + 3x + 4.5 = 12
5x + 4.5 = 12
collect the like terms
5x = 12 - 4.5
5x = 7.5
divide both sides by the coefficient of x which is 5
5x/5 = 7.5/5
x = 1.5
put x = 1.5 into equation 2
y=x+1.5..................................... equation 2
y = 1.5 + 1.5
y = 3
therefore the value of x = 1.5 and y = 3 respectively.
Answer:
Produce only Product B.
Step-by-step explanation:
The contribution margin per machine hour for product A is ...
($16 -$6)/(5 hour) = $2 per hour
The contribution margin per machine hour for product B is ...
($12 -$5)/(3 hour) ≈ $2.33 per hour
The company should produce the maximum possible number of the product that contributes the most per machine hour: Product B.
