Dr. Washington is interested in studying the relationship between test scores, coded from zero percent to 100 percent, and the n
1 answer:
You might be interested in
Answer:
x = 13
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here A = 55, h = 5. b₁ = x, b₂ = 9, then
× 5 × (x + 9) = 55
2.5(x + 9) = 55 ( divide both sides by 2.5 )
x + 9 = 22 ( subtract 9 from both sides )
x = 13
Answer:
0.4 ft
Step-by-step explanation:
It can be convenient to let a spreadsheet compute the values for you. Here, we have written an explicit formula for the height of the n-th bounce:
h = 5.5×0.64^(n-1)
We have written the formula this way because we are given the height of the first bounce, not the starting height. Each bounce multiplies the height by a factor of 0.64. Then the 7th bounce will have a height of ...
h = 5.5×0.64^6 ≈ 0.378 ≈ 0.4 . . . . feet
Answer:
The correct option is;
Corresponding angles theorem
Step-by-step explanation:
Type of lines of lines a and b = Horizontal and parallel lines
The transversal to a and b = Line c
The angles between a and c labelled clockwise from the upper left quarter segment = 1, 2, 4 and 3
The angles between b and c labelled clockwise from the upper left segment = 5, 6, 8 and 7
Therefore, we have;
Statement Reason
1. a║b, c is a transversal Given
2. ∠6 ≅ ∠2 Corresponding angles theorem
3. m∠6 = m∠2 Definition of congruent
4. ∠6 is supp. to ∠8 Definition of linear pair
5. ∠2 is supp. to ∠8 Congruent supplement theorem
Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.