The picture in the attached figure
we know that
if m ∠DAB=23.5°
then
arc DB=23.5°------> by central angle
the answer isarc DB=23.5°
<h2><u>Solution (1) :</u></h2>
Measure of angle ABC = (3x)°
Measure of angle CBD = (15x+18)°
Since angle ABC and angle CBD are a linear pair their sum will be equal to 180°¿
Which means :
![=\tt 3x + 15x + 18 = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%203x%20%2B%2015x%20%2B%2018%20%3D%20180)
![=\tt 18x + 18 = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%2018x%20%2B%2018%20%3D%20180)
![= \tt18x = 162](https://tex.z-dn.net/?f=%20%3D%20%5Ctt18x%20%3D%20162)
![=\tt x = \frac{162}{18}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%20%20%5Cfrac%7B162%7D%7B18%7D%20)
![\color{plum} \tt= x = 9](https://tex.z-dn.net/?f=%5Ccolor%7Bplum%7D%20%5Ctt%3D%20x%20%3D%209)
Thus, <u>the value of x = 9</u>.
<h2><u>Solution (2)</u> :</h2>
From that equation, we know that the value of x = 9.
Which means :
Measure of angle ABC :
![=\tt 3x](https://tex.z-dn.net/?f=%20%3D%5Ctt%203x)
![=\tt 3 \times 9](https://tex.z-dn.net/?f=%20%3D%5Ctt%203%20%5Ctimes%209)
![\tt\color{plum} \: angle \: ABC = \tt27°](https://tex.z-dn.net/?f=%5Ctt%5Ccolor%7Bplum%7D%20%5C%3A%20angle%20%5C%3A%20%20ABC%20%3D%20%5Ctt27%C2%B0)
Measure of angle ABC = 27°
Therefore, <u>the measure of angle ABC = 27°</u>
<h2><u>Solution (3)</u> :</h2>
We know that x = 9
Which means :
Measure of angle CBD :
![=\tt 15x + 18](https://tex.z-dn.net/?f=%20%3D%5Ctt%2015x%20%2B%2018)
![= \tt15 \times 9 + 18](https://tex.z-dn.net/?f=%20%3D%20%5Ctt15%20%5Ctimes%209%20%2B%2018)
![= \tt135 + 18](https://tex.z-dn.net/?f=%20%3D%20%5Ctt135%20%2B%2018)
![\color{plum} \tt \: angle \: CBD = 153°](https://tex.z-dn.net/?f=%5Ccolor%7Bplum%7D%20%5Ctt%20%5C%3A%20angle%20%5C%3A%20%20CBD%20%3D%20153%C2%B0)
Thus, angle CBD = 153°
Since the measure of angle ABC and angle CBD equals 180°[27+153=180°], we can conclude that we have found out the correct value of each angle.
Therefore, <u>the measure of angle CBD = 153°</u>
T is linear transformation, since we can represent t in a marix
Answer:
the area is 124.8 i believe because if you do 12 times 12 you get pretty much 124.8
Step-by-step explanation:
For this case we give as data the following equation:
![4x + 12 = 48](https://tex.z-dn.net/?f=4x%20%2B%2012%20%3D%2048)
Where "x" represents the cost of a ticket.
By clearing the value of "x" of the equation we can know the cost of a ticket.
If we subtract 12 from both sides of the equation, we have:
![4x = 48-12\\4x = 36](https://tex.z-dn.net/?f=4x%20%3D%2048-12%5C%5C4x%20%3D%2036)
If we divide between 4 on both sides of the equation:
![x = \frac {36} {4}\\x = 9](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B36%7D%20%7B4%7D%5C%5Cx%20%3D%209)
Therefore, the cost of a ticket is $ 9.00
Answer:
Option C