All three angles in a triangle add up to 180 degrees.
Therefore, we should just add up all the angles given to us and set them equal to 180 :)
3x + 5x + (2x + 5) = 180
Now we just need to combine all the similar terms together (which is the 3x, 5x, and 2x):
10x + 5 = 180
Subtract 5 from both sides of the equation:
10x = 175
Now just divide by 10 on both sides to isolate the x and work out your value:
x = 17.5
Therefore, your final value of x is 17.5 :)
16/22 reduces to 8/11 = 0.727 = 72.7%
For the shoe size be equal to the length of the foot, this means that L must be equal to S. Now, since we have different equations depending on your gender, we first check the conditions for man.
Since S = 3L - 22 for men, for a person to have a foot length equal to his shoe size, we equate L to S as shown below.
L = S
L = 3L - 22
2L = 22
L = 11
Thus, we can see that men with 11-inch foot would have the same shoe size number. We can apply similar approach to find the length of a woman's foot that satisfies our conditions as shown.
L = S
L = 3L - 21
2L = 21
L = 10.5
Hence, a woman with a 10.5-inch foot have 10.5 for a shoe size as well.
Answer:
man: 11 inches
woman: 10.5 inches
For the first plan, we can write it as 57+0.11m if m represents the miles driven due to that we have a base value of 57 but add $0.11 per mile . Similarly, for the second plan we can write 50+0.13m. Since we want them to be equal, we have 57+0.11m=50+0.13m. Subtracting 0.11m as well as 50 from both sides, we get 0.02m=7. Next, we can multiply both sides by 50 to get 350=the amount of miles needed for them to be the same. For the cost, we can plug 350 into either expression to get 57+0.11*350=95.5 dollars
Answer:
The answer to your question is See the picture below
Step-by-step explanation:
Analysis of the graphs
a) In the first graph, we observe that Natasha is running after 1 h and 1/4, the comeback for to her origin, finally she continues running forward. This option is incorrect.
b) In the second graph, Natasha runs for 1 1/4 hours, after this time, she comes back to her origin, takes a rest and continues running forward. This answer is incorrect.
c) In the third graph, Natasha runs for 1 1/4 hour, takes a rest and comes back to the origin. This option is incorrect.
d) In the forth graph, Natasha runs for 1 1/4 hour, takes a rest and continues running upwards. This is the right option.
