The value of x in the triangle is 28.1 degrees
<h3>How to solve for x?</h3>
The given triangle is a right triangle.
So, the relationship between the sides and angle x is:
sin(x) = opposite/hypotenuse
This gives
sin(x) = 8/17
Evaluate the quotient
sin(x) = 0.4706
Take the arc sin of both sides
![x = \sin^{-1}(0.4706)](https://tex.z-dn.net/?f=x%20%3D%20%5Csin%5E%7B-1%7D%280.4706%29)
Evaluate
x = 28.1
Hence, the value of x in the triangle is 28.1 degrees
Read more about right triangles at:
brainly.com/question/2437195
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Answer:
x = 4
Step-by-step explanation:
An angle bisector divides an angle into two equal parts. This means that you can set the two parts equal to each other and solve for x.
8x + 35 = 11x + 23
(8x + 35) - 35 = (11x + 23) - 35
8x = 11x - 12
8x - 11 x = (11x - 12) - 11x
-3x = -12
(-3x)/-3 = -12/-3
x = 4
Answer:
40 people
Step-by-step explanation:
One for each person
Answer:
It would take 10 days for 2 people working for 5 hours a day to fix a road.
Step-by-step explanation:
Given:
Let the number of people be denoted by 'p'.
Let the number of hours be denoted by 'h'.
Let the number of days be denoted by 'd'.
Solution:
Now given:
Case 1:
It take 10 people working 2 hours a day 5 days.
so we can say that;
![p_1=10](https://tex.z-dn.net/?f=p_1%3D10)
![h_2=2](https://tex.z-dn.net/?f=h_2%3D2)
![d_2=5](https://tex.z-dn.net/?f=d_2%3D5)
Now we can say that.
Job Completed can be calculated by multiplying number of people with number of hours and number of days.
So we can say that;
Job Completed = ![p_1\times h_1 \times d_1 =10\times 2\times 5 =100](https://tex.z-dn.net/?f=p_1%5Ctimes%20h_1%20%5Ctimes%20d_1%20%3D10%5Ctimes%202%5Ctimes%205%20%3D100)
Case 2:
We need to find the how many days will it take 2 people working 5 hours a day to fix a road.
So we can say that;
![p_2=2](https://tex.z-dn.net/?f=p_2%3D2)
![h_2=5](https://tex.z-dn.net/?f=h_2%3D5)
![d_2=?](https://tex.z-dn.net/?f=d_2%3D%3F)
Now we know that;
Job Completed = ![p_1\times h_1 \times d_2 =2\times 5\times d_2 =10d_2](https://tex.z-dn.net/?f=p_1%5Ctimes%20h_1%20%5Ctimes%20d_2%20%3D2%5Ctimes%205%5Ctimes%20d_2%20%3D10d_2)
Now we know that Job completed would be the same so we can say that;
![10d_2=100](https://tex.z-dn.net/?f=10d_2%3D100)
Dividing both side by 10 we get;
![\frac{10d_2}{10}=\frac{100}{10}\\\\d_2=10\ days](https://tex.z-dn.net/?f=%5Cfrac%7B10d_2%7D%7B10%7D%3D%5Cfrac%7B100%7D%7B10%7D%5C%5C%5C%5Cd_2%3D10%5C%20days)
Hence we can say that It would take 10 days for 2 people working for 5 hours a day to fix a road.
7/9 = <span>0.7¯
answer
B. </span><span>0.7¯</span>