Answer:
ΔRES ≅ ΔTEQ
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.
Opposite angles of a parallelogram are equal and the diagonals bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
Given parallelogram QRST with diagonals QS and RT intersecting at point E
Therefore, the diagonals divide parallelogram QRST into congruent triangles, hence:
ΔRES ≅ ΔTEQ
Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,

where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that
,
and 
Substituting these values in the formula, we have,

Simplifying the terms, we have,

Multiplying the terms in the numerator, we have,

Dividing, we get,

Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.
Answer:
Step-by-step explanation:
the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 8(1.05)^n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to l
Answer:
Hello,
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
