Anna walks at a constant rate of 8 miles every 2 hours Graph a line to show the relationship between the time in hours, 1 and th
e distance in miles, d, that Anna walks
1) What is the unit rate in miles per hour?
2) What is the slope of the line graphed?
3) How does the slope of the line compare to the unit rate?
1) What is the unit rate in miles per hour?
2) What is the slope of the line graphed?
3) How does the slope of the line compare to the unit rate?
1 answer:
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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
