Answer:
(1.2, –4.7)
Step-by-step explanation:
Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)
Also, the ratio of A to B is 5:8
Based on this, the x and y coordinates at point C is
![= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B5%5Ctimes%20%28-8%29%20%2B%208%5Ctimes%207%7D%7B5%20%2B%208%7D%20%2C%20%5Cfrac%7B5%5Ctimes%20%28-9%29%20%2B%208%5Ctimes%20-2%7D%7B5%20%2B%208%7D%5D%5C%5C%5C%5C%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2, –4.7)
Hence, the x and y coordinates of point C is (1.2, –4.7)
Therefore the last option is correct
The measure of the angle B is 30 degree after applying the sin law of triangle.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B

SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Equal angles are congruent angles.
Answer:
the answer is 8x-12
Step-by-step explanation: