Answer:
21
Step-by-step explanation:
Answer:
- x = 8
- 12 = BD
- 23 = BE
- 13 = CE
Step-by-step explanation:
<u>We know that:</u>
- BD = 2x - 4
- DE = 2x - 3 - 2
- BE = 3x - 1
- CE = 2x - 3
<u>Solution:</u>
- (2x - 4) + (2x - 3 - 2) = 3x - 1
- => 2x - 4 + 2x - 3 - 2 = 3x - 1
- => 4x - 9 = 3x - 1
- => 4x - 3x = 9 - 1
- => x = 8
- => 2x - 4 = BD
- => 2(8) - 4 = BD
- => 16 - 4 = BD
- => 12 = BD
- => 3x - 1 = BE
- => 3(8) - 1 = BE
- => 24 - 1 = BE
- => 23 = BE
- => 2x - 3 = CE
- => 2(8) - 3 = CE
- => 16 - 3 = CE
- => 13 = CE
Hence, the answers are:
- x = 8
- 12 = BD
- 23 = BE
- 13 = CE
Answer:
7.5
Step-by-step explanation:
106% of $x = $7.95
In other words,
![\[\frac{106}{100}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B106%7D%7B100%7D%5C%5D)
of $x = 7.95
Multiplying both sides of the equation by ![\[\frac{100}{106}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B100%7D%7B106%7D%5C%5D)
![\[\frac{106}{100} * \frac{100}{106}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B106%7D%7B100%7D%20%2A%20%5Cfrac%7B100%7D%7B106%7D%5C%5D)
of x = 7.95 * ![[\frac{100}{106}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B100%7D%7B106%7D%5D)
=> x = ![[\frac{750}{100}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B750%7D%7B100%7D%5D)
=> x = ![[\frac{7.50}{1}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B7.50%7D%7B1%7D%5D)
=> x = 7.5
Validation: 106% of 7.5 = 7.95
Each interior angle of a regular hexagon is 120°.
.. 4x +24° = 120°
.. 4x = 96° . . . . . . . subtract 24°
.. x = 24° . . . . . . . . divide by 4
Answer:
angle bisector
Step-by-step explanation:
