Answer:
∠1 = 120°
Step-by-step explanation:
Since the 2 lines are parallel
Angles 5x + 15 and 3x - 3 are same- side interior angles and are supplementary, thus
5x + 15 + 3x - 3 = 180, that is
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21
Hence
∠1 = 5x + 15 ( corresponding angles )
= (5 × 21) + 15 = 105 + 15 = 120°
C I petty sure the answer is c
Answer: After they've played 8 games, they will have the same amount of money remaining.
Step-by-step explanation:
Represent the number of games by the variable x and the remaining amount of money by the variable y.
Deanna's situation can be represented by the equation y = 15 - 0.75x
Lisa's situation can be represented by the equation y = 13 - 0.50x
Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.
15 - 0.75x = 13 - 0.50x
-13 -13
2 - 0.75x = - 0.50x
+0.75x +0.75x
2 = 0.25x
x = 8
Answer:
AD/AB = AB/AC
Step-by-step explanation:
If we take two triangules in that figure: ABC and ABD, both are triangles rectangles. We need to use the definition of cosine, with the angle in th A corner, we called ∅.
For the ABC triangle: cos(∅) = adjacent cathetus/hypotenuse = AD/AB
For the ABD triangle: cos(∅) = adjacent cathetus/hypotenuse = AB/AC
Then:
cos(∅) = AD/AB = AB/AC
Well so 15000-2000 leaves 13000kgs of available weight allowed. Then 13000 divided by 1500 we get around 8.67 cubicmeters of gravel to be allowed to be lifted safely.