Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
Answer:
d = 2cot(x) or d = 2/tan(x)
Step-by-step explanation:
The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:
Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).
Answer:
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2. protection. base word: protect
3.rotation. base word: rotate
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5. division. base word: divide
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9. opposition. base word: oppose
10. operation. base word: operate
Step-by-step explanation:
Answer:
What the hell AC is not given so you can't find the Perimeter
Step-by-step explanation:
x+10=0
x=-10
AB=x+5
AB=-5
BC=x-2
BC=-12
Area of ABC = 30cm2
<u>Perimeter of ABC = AB+BC+</u><u>AC</u>
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