3x^2 - 5x + 12 5x^2 + x -11
1 answer:
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Answer:
Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Step-by-step explanation:
Step 1: Consider triangle ABC from the picture attached below.
Lets find angle x
x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)
x = 100°
Angle x = Angle y = 100° (because vertically opposite angles are equal)
Step 2: Find angle 2
Angle 2 = 180 - angle x (because angle on a straight line is 180°)
Angle 2 = 180 - 100
Angle 2 = 80°
Step 3: Find angle z
48 + y + z = 180° (because all angles of a triangle are equal to 180°)
z = 32°
Angle 3 = 180 - angle z (because angle on a straight line is 180°)
Angle 3 = 180 - 32
Angle 3 = 148°
Step 4: Find angle 1
Angle 1 = 180 - 33 (because angle on a straight line is 180°)
Angle 1 = 147°
Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Option 2 is correct
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Answer:
Unit rates for cyclist A , B, C , D are 12 mile/ hour , 5 mile/hour, 9 mile/hour and 10 mile/hour respectively. Cyclist A is the fastest among the four.
Step-by-step explanation:
Cyclist A can ride 24 miles in 2 hours
so, cyclist A's unit rate is,
= 12 mile/hour
Cyclist B's unit rate is,
=
=
= 5 mile/hour
Equation for cyclist C is, y = 9x ,
so, cyclist C's unit rate is , 9 mile/hour
Slope of the graph for cyclist D,
=
= 10
So cyclist D's unit rate is, 10 mile/hour
So, cyclist A is the fastest.