Answer:
12.33
Step-by-step explanation:
6x - 2 + 9x - 3 = 180° (linear pair)
6x + 9x - 2 - 3 = 180°
15x - 5 = 180°
15x = 180 + 5
15x = 185
x = 185/15
x = 12.33
hope this helps you!
Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem

⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
Answer:
No, because using the distributive property, you would get 5b+15 and 3b+15. The number of b you have is different.
This question is nasty. It sounds like you should be finding area of the figure you see. I'll do that first, although I don't think it's the right answer. (But it might be).
Area Trapezoid = (b1 + b2) * h / 2
b1 = 8
b2 = 12
h = 5
Area Trapezoid = (8 + 12 ) * 5 / 2
Area Trapezoid = 20 * 5/2
Area = 50 square feet.
The problem is that no lumber yard will cut that for you without charging you. The practical answer is 12 * 5 = 60 square feet is what you will have to buy. Then you cut out the triangles for yourself.
Answer:
f(2)=1/9
Step-by-step explanation:
f(x)=(1/3)^x
f(2)=(1/3)^(2)
f(2)=1/9