The curve for f(x) and g(x) have the same shape but only differs in their position relative to the y and x-axis. With respect to the y-axis, it shifted 5 units upward. With respect to the x-axis, it shifted 9 units to the right. Since the right hand side is equal to y, we add +5 to the right. Similarly, since the left hand side is equal to x, we add +9 to the left. If we transpose this to the right,it becomes -9. So the equation for g(x) is: <span>g(x)=(1/2)^x−9+5</span>
Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
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The area of the triangle is 12.72unit
The Answer is "X=2" awodkawopdawdawd
