Answer:
x=4
Step-by-step explanation:
Pentagon's sum of interior angle is 540°
let's add all the given degrees
100+20x+16x+16+140+160-5x=540
Collect like terms
100+16+140+160+20x+16x-5x=540
416+31x=540
31x=540-416
31x=124
x=124/31
x=4```
Answer:
4
Step-by-step explanation:
Let x be a number.
The statement can be interpreted as:
- 5 is subtracted <u>from</u> a number : x - 5
- A number is greater than 6 : x > 6
- When 5 is subtracted <u>from</u> 3 times a number, the result is greater than 6 : 3x - 5 > 6
And then we simplify 3x - 5 > 6:
- 3x - 5 > 6
- 3x > 11
- x > 11/3
- x > 3.666...
To get the smallest whole number satisfying the inequality above, we can take the "ceiling" of 3.66 which is 4.
Note:
The ceiling of a number is the nearest integer (or in this case, nearest whole number) of a number. It can be denoted by ceil(x).
For example, the ceiling of 0.1 is 1. The ceiling of 5 is 5 since 5 itself is a integer.
Answer:
Step-by-step explanation:
I don't know what it's asking for but I assume what is angle B so we'll go with that. I think it's B 129 because it's right across from angle F which looks almost identical and is 130 degrees that's a 1 degree difference.
Answer:
The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Explanation:
The magnitude of earthquakes is given by


Where I is the intensity of earthquake and S is the intensity of standard earthquake.
The magnitude of standard earthquakes is given by

So comparing the magnitude of the given earthquake and standard earthquake,





which means that
times greater
Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Answer:
14
Step-by-step explanation:
Given the following equation;
4³ - (2 + 2³) * 5
4*4*4 - (2 + 2*2*2) * 5
64 - (2 + 8) * 5
64 - (10) * 5
64 - 50 = 14
Note: the rule of BODMAS was applied.