It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20
Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit
Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°
Answer:
4, 5
Step-by-step explanation:
the mode is 4 since mode is the number/s that appear most. Median is the number in the middle when the range is in order. That is 5
When the squared terms are of different signs, the equation generally describes a hyperbola. This one has its vertices at x=±30, so the parameters of interest are
domain: (-∞, -30] ∪ [30, ∞)
range: (-∞, ∞)
The average rate of change of a function f(x) in an interval, a < x < b is given by

Given q(x) = (x + 3)^2
1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by

2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by

3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by

4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by

5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by

6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by
2(x + 7) = 36 |use distributive property
(2⋅x)+(2⋅7)=36
2·x+2·7=36
2x + 14 = 36
2(x + 7) = 36 |:2
x + 7 = 18
Answer (bold expressions).