Answer:
y = 1
Step-by-step explanation:
6 = 2y + 4
6 - 4 = 2y
2 = 2y
y = 2/2
y = 1
Hello,
We know that all the angles shown add up to 360 (think of a circle).
We also know that the angle of (6x-1)° is congruent to the angle opposite of it. (the "top left" angle) = 6x - 1°
We also know that the angle of (7x-1)° is congruent to the angle opposite of it.
(the "bottom left" angle) = 7x -1°
Knowing the sum of all angles as well as the angle measures in terms of x, we can add all the angle measures and equal it to 360.
So, we get (7x - 1) + (7x - 1) + (6x - 1) + (6x - 1) = 360
Simplify and we get:
26x - 4 = 360
Add 4 to both sides to get 26x = 364
Divide by 26 on both sides to get 14.
x = 14
Hope this helps!
(74 + 78 + 70 + x) / 4 = 80
Divide each number by 4.
18.5 + 19.5 + 17.5 + x = 80
Add the numbers you know so far.
18.5 + 19.5 + 17.5 = 55.5
You need 24.5.
Now, since we divided all the others by 4, we have to multiply 24.5 by 4 to see what the exam score would be.
24.5 * 4 = 98.
To get an average of 80%, the student would need to get a 98 on their fourth exam.
Answer:
47
Step-by-step explanation:
Simplify the following:
-26 + 6 - -67
Hint: | Multiply -1 and -67 together.
-(-67) = 67:
-26 + 6 + 67
Hint: | Evaluate 6 + 67 using long addition.
| 1 |
| 6 | 7
+ | | 6
| 7 | 3:
73 - 26
Hint: | Subtract 26 from 73.
| 6 | 13
| 7 | 3
- | 2 | 6
| 4 | 7:
Answer: 47
First we want to know the surface of the circle, which is

with r representing the radius. In this case


To find the volume of the cylinder we have to multiply this outcome with the height.



Hence, the volume of the cylinder is about 5024 cubic cm.