The value of x is ![5.625](https://tex.z-dn.net/?f=5.625)
Explanation:
Since, from the figure we can see that, a ray bisects the angle of a triangle.
Then, the angle bisector theorem states that, "if a ray bisects an angle of a triangle, then it divides the opposite sides of the triangle into segments that are proportional to the other two sides".
Thus, we have,
![$\frac{A C}{B C}=\frac{A D}{B D}$](https://tex.z-dn.net/?f=%24%5Cfrac%7BA%20C%7D%7BB%20C%7D%3D%5Cfrac%7BA%20D%7D%7BB%20D%7D%24)
where
and ![DB=x](https://tex.z-dn.net/?f=DB%3Dx)
Substituting the values, we get,
![$\frac{4}{7.5}=\frac{3}{x}$](https://tex.z-dn.net/?f=%24%5Cfrac%7B4%7D%7B7.5%7D%3D%5Cfrac%7B3%7D%7Bx%7D%24)
Simplifying, we have,
![4x=22.5](https://tex.z-dn.net/?f=4x%3D22.5)
Dividing both sides by 4,
![x=5.625](https://tex.z-dn.net/?f=x%3D5.625)
Thus, the value of x is ![5.625](https://tex.z-dn.net/?f=5.625)
Answer:
36
Step-by-step explanation:
12 x 3 = 36
Answer:
C
Step-by-step explanation:
The formula for any geometric sequence is:
![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.
We want the formula for the geometric sequence:
-3, -6, -12, -24, ...
Note that our first term is -3. Hence, a₁ = -3.
Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.
Therefore, by substitution, we acquire:
![a_n=-3\cdot (2)^{n-1}](https://tex.z-dn.net/?f=a_n%3D-3%5Ccdot%20%282%29%5E%7Bn-1%7D)
Our answer is C.
By the way your question was asked, the unit rate would be one foot per inch, or a 1ft:1in ratio.
X: (18,0)
Y: (0,-6)
The y intercept is in the equation