Answer:
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For the first one the slope is 0.5
For the second one the slope is -1.7
Answer: The volume of the cardboard container is 516 centimeters cubed.
Explanation: The volume of a pentagonal prism is equal to the area of the base times the height of the pentagonal prism. The area of the base here is 43 centimeters squared and the height of the pentagonal prism is 12 centimeters. So we get 43 multiplied by 12, which equals 516, and the volume of a pentagonal prism is always written in cubes units, so our answer is that the volume of the cardboard container is 516 centimeters cubed.
9514 1404 393
Answer:
- same-side interior
- (3x +4) +(2x +11) = 180
- 77°
Step-by-step explanation:
Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.
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Because the angles are supplementary, their sum is 180°. So, the equation ...
(3x +4)° +(2x +11)° = 180°
can be used to solve for x. Likewise, any of the possible simplifications of this can be use:
(3x +4) +(2x +11) = 180 . . . . . divide by degrees
5x +15 = 180 . . . . . . . . . . . collect terms
5x = 165 . . . . . . . . . . . . . subtract 15
x = 33 . . . . . . . . . . . . . . divide by 5
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Once we know that x=33, then the measure of angle 5 is found from its expression:
m∠5 = (2x +11)° = (2·33 +11)°
m∠5 = 77°
Answer: Train A - 60 mph; Train B - 125 mph
Explanation: To find the speed of Train A, you should do 120/2, which equals 60. To find the speed of Train B, you should do 250/2, which equals 125.
