The area of a trapezoid is A = (a+b/2)(h).
So just plug in your numbers.
Answer:
Right option is (D).
ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.
Step-by-step explanation:
We have given,
Two triangles ΔABC and ΔDBE such as :

This relation will contribute to side side similarity.
Also,
∠B = ∠B , This will contribute as an angle similarity .
So combining above two relations,

and ∠B = ∠B
we can conclude that the triangle ΔABC and ΔDBE are similar triangles by side angle side similarity postulate.
Hence the right option is (C)
The half life formula is :

where N(t) = remaining quantity after t years
No = Original Quantity
t = time in years
T = half life in years
From the problem, we have :
N(t) = 30 grams
No = 100 grams
T = 674
Solve for t :

Take ln of both sides :

The answer is t = 1170.71 years
The value of b is -21. To find the slope of the line use the slope formula:

. The slope is -4. Then you plug in one coordinate to find the value of b.
Answer:
Lines p and q and parallel as angle 1 = angle 2 (congruent to)
Step-by-step explanation:
Angle one and angle 2 are alternate exterior angles