A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can be produced in 15 minutes?
2 answers:
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Answer:
m∠T = 79°
m∠V = 14°
Step-by-step explanation:
Given
- m∠T = (2x + 85)°
- m∠V = (5x + 29)°
As the sum of measures of the angles is 93°.
so
m∠T + m∠V = 93°
(2x + 85)° + (5x + 29)° = 93°
Remove parentheses
Subtract 114 from both sides
Simplify
Divide both sides by 7
simplify
Determining m∠T
m∠T = (2x + 85)°
substitute x = -3
m∠T = (2(-3) + 85)°
= -6 + 85
= 79°
Thus, we conclude that m∠T = 79°
Determining m∠V
m∠V = (5x + 29)°
substitute x = -3
m∠T = (5(-3) + 29)°
= -15 + 29
= 14°
Thus, we conclude that m∠V = 14°
<u>VERIFICATION:</u>
m∠T + m∠V = 93°
substitute m∠T = 79° and m∠V = 14°
79° + 14° = 93°
93° = 93°
L.H.S = R.H.S
Answer:
y = x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, - 8) and (x₂, y₂ ) = (2, - 6)
m = =
=
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 6), then
- 6 = 1 + c ⇒ c = - 6 - 1 = - 7
y = x - 7 ← equation of line