Answer:
x is 97
Step-by-step explanation:
the interior angles have to equal 180 and the exterior angles have to come to 360 degrees
so you already know 23 to find the one by the 106 degree you use the linear pair postulate ( angles on a straight line will equal 180) so 180-106 equals 74. Now you have 2 of the three interior angles. To find the third you take 180 - 74 - 23 which equals 83 then you can use the linear pair postulate again and take 180-83 to get your answer for x which equals 97
Answer:
the answer is c your welcome
Step-by-step explanation:
Answer:
140 routes
Total Number of roads from allen to dodge through baker and Carlson is 140 routes.
Step-by-step explanation:
Given;
Number of roads from Allen to baker = 5
Number of roads from baker to Carlson = 7
Number of roads from Carlson to dodge = 4
Total Number of routes from allen to dodge through baker and Carlson is;
N = 5×7×4
N = 140 routes
Answer:
Exact answer is 0.00076232
Step-by-step explanation:
i can give give u a website that does this, if u want
The area of the region shown in the coordinate plane is 2.7823 units square.
<h3>What is integration?</h3>
It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
The graph of a function:
y = sinx
And a line segment passed through:
(0, 0) and (7π/6, -1/2)
First, find the equation of the line:
y = (-1/2)/(7π/6)[x]
y = (-3/7π)x
The area by definite integration:
![\rm Area = \int\limits^{7\pi/6}_0 {[sinx - (-3/7\pi)x]} \, dx](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%5Climits%5E%7B7%5Cpi%2F6%7D_0%20%7B%5Bsinx%20-%20%28-3%2F7%5Cpi%29x%5D%7D%20%5C%2C%20dx)
![\rm Area = \int\limits^{7\pi/6}_0 {[sinx +3x/7\pi ]} \, dx](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%5Climits%5E%7B7%5Cpi%2F6%7D_0%20%7B%5Bsinx%20%2B3x%2F7%5Cpi%20%5D%7D%20%5C%2C%20dx)
After solving the above definite integral:
Area = 2.7823 units square
Thus, the area of the region shown in the coordinate plane is 2.7823 units square.
Learn more about integration here:
brainly.com/question/18125359
#SPJ1
