Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
Answer:
3x
Step-by-step explanation:
3*x
Assuming the logarithm is base
, you have
Answer:
Step-by-step explanation:
fog(x)=f(g(x))
=f(x+2)
=3⋅(x+2)
=3x+6
gof(x)=g(f(x))=g(3x)
=3x+2
gof(2)=3⋅2+2
=6+2
=8
fog(2)=3⋅(2+2)
=3*2+6=12
Answer:
40°
Step-by-step explanation:
A parallelogram is a quadrilateral (a four-sided object) with parallel sides
Some of the characteristics of a parallelogram includes:
1. Opposite sides and angles are congruent.
2. Opposite angels are congruent
3. Consecutive angles are supplementary
4. The diagonals bisect each other
Angle DBC = ABD = 35 (alternate angles are equal)
Angle ADB = 180 - 35 - 105 = 40
I subtracted from 180 because sum of angles in a triangle is equal to 180
