Answer:
∴ The value is 12 units
Step-by-step explanation:
From Geometric Mean Theorem we know that,
In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.
The length of the altitude is the geometric mean of the lengths of the two segments.
So, Above theorem apply in the diagram;

Plug RT=x , ST=9 and TQ=16 from diagram;




∴ The value is 12 units
Answer:

Step-by-step explanation:
,
,
, Subtract 23 and 3x from both sides and simplify:
, Divide both sides by 2 and simplify: 
<em>Hope this helps!!!</em>
FD/CA = EF/BC
x/(8.5 mm) = (12 mm)/(4 mm)
x = (8.5 mm)*(12/4)
x = 25.5 mm . . . . . . . . . . . the 3rd selection
Answer:
1. reflection across x-axis
2. translation 6 units to the right and 3 units up (x+6,y+3)
Step-by-step explanation:
The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
First transformation is the reflection across the x-axis with the rule
(x,y)→(x,-y)
so,
- A(-5,2)→A'(-5,-2)
- B(-3,4)→B'(-3,-4)
- C(-2,4)→C'(-2,-4)
- D(-1,2)→D'(-1,-2)
Second transformation is translation 6 units to the right and 3 units up with the rule
(x,y)→(x+6,y+3)
so,
- A'(-5,-2)→E(1,1)
- B'(-3,-4)→H(3,-1)
- C'(-2,-4)→G(4,-1)
- D'(-1,-2)→F(5,1)
Answer:
12*(3)^x
Step-by-step explanation:
Let the exponential function be y=a*b^x. Given y(0)=12, a=12. Next y(2)=36, b=3