Answer:
a = 64°
b = 138.7°
Step-by-step explanation:
First, Let's find the measure a,
- 180° = 116° + a
- 180 - 116 = a
- a = 64°
______
Now,
- 90° + a + 82° + x + x + x = 360°
- 90+ 64 + 82 + 3x = 360°
- 236 + 3x = 360
- 3x = 124/ 3
- x = 41.3°
______
Now that we found out what x equals, let's find 'b'-
- b + x = 180°
- b + 41.3 = 180
- b = 180 - 41.3
- b = 138.7°
Answer:
24 kilometres.
Step-by-step explanation:
10/10=Total Distance of the Race
3 kilometres =2/10
24 kilometres=10/10
i will use proportions for this.
x 52
------- = --------
2650 100
Cross multiply and u get 1378.
Hope it helps. :)
Answer:

Step-by-step explanation:
We have to arrange the functions given in ascending order which have eventually the least value and eventually the greatest value.
So, we get the following table representing the values of the functions for different values of x.
x : 5 10 15
: 23 38 53
: 1027 1048579 1073741827
: 31 106 231
: 15 30 45
: 1024 1048576 1073741824
: 25 100 225
As, can be seen from the table that the ascending order of the functions is given by
.
Hence, the order is
.
The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)
So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )
5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!