Answer:
0.500 hour
Step-by-step explanation:
Givens
<em><u>Distance</u></em>
- Total Distance on the highway = 3hr * 60 miles / hr = 180 miles
- Distance in the city = 20 miles
- Total Distance = 180 + 20 = 200 miles
<em><u>Time</u></em>
- Time on the highway = 3 hours
- Time in the city = x
Formula
d /t = r
Solution
- Average rate = 57.14
- Total Distance / Total Time = average rate
- 200 / (3 + x) = 57.14 Multiply both sides by 3 + x
- 200 = 57.14 * (3 + x) Remove the brackets
- 200 = 57.14*3 + 57.14x Multiply the factors on the right
- 200 = 171.42 + 57.14x Subtract 171.42 from both sides.
- 200 - 171.42 = 171.42 - 171.42 + 57.14x So the subtraction
- 28.58 = 57.14x Divide by 57.14
- 28.57/57.14 = x
- x = 0.500 hour Answer
Answer:
120 degrees.
Step-by-step explanation:
All the angles in a triangle add up to 180. You have two of the angles given:
50 degrees and 70 degrees
To find the third angle of the triangle (BAC), use the expression:
180 - (50 + 70)
180 - 120
60
So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.
Answer:
x=81
y=99
z= 129
Step-by-step explanation:
the 3 angles of a triangle add to 180 degrees
51 + 48 + x = 180
99 + x = 180
subtract 99 from each side
99 + x -99 = 180 -99
x = 81
x+y = 180 they make a straight line
81+ y = 180
subtract 81 from each side
y = 180-81
y = 99
z+ 51 = 180 they make a straight line
subtract 51 from each side
z+51-51 = 180 -51
z = 129
(3 x 3) + (8 x 2) = ?
Using the order of operations you do what is inside the parentheses first, so multiplying the numbers, and then you add the products together.