FIG A : ANGLE OF BAC = 67.38 °
FIG B : LENGTH OF RT = 10.549 cm
FIG C: LENGTH OF AB = 5.282 cm
FIG D: ANGLE OF ACB = 37.303°
Step-by-step explanation:
Fig A:
ABC angle = ( Opposite side) / (Hypotenuse)
Sin Ф = (12) / (13)
Ф = Sin⁻¹ ( 12/13)
Ф = 67.38 °
Fig B:
By the basic property of trigonometry
Tan Ф = (Opposite side) / (Adjacent side)
Tan Ф = (14)/ X
X= 14 / (Tan 53° )
Length of RT = 10.549 cm
Fig C:
By the basic property of trigonometry
Sin Ф = (Opposite side) / (Hypotenuse)
Sin Ф = (X) / 12.5
X = 12.5
Sin 25°
X= 5.282 cm
Fig D:
From the basic property of Trigonometry
Tan Ф = (Opposite side) / (Adjacent side)
Tan Ф = (8/10.5)
Ф = Tan⁻¹ ( 8/10.5)
Ф = 37.303°
The answer for this question is -6x-11
Answer: y = 7
explanation: 6y = 6y + 7
y =
The matrix R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
<h3>What is the matrix?</h3>
It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
We have vertices shown in the picture.
Form a matrix using the vertices:
![= \left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C7%263%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To reflect over the x-axis, multiply by the reflection matrix:
![= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C7%263%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\rm R= \left[\begin{array}{ccc}-3&5&6\\-7&-3&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Crm%20R%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C-7%26-3%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The above matrix represent the reflection matrix.
Thus, the matrices R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
Learn more about the matrix here:
brainly.com/question/9967572
#SPJ1
No it cannot since 5/48 does not make a whole number