Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Answer:
See explanation
Step-by-step explanation:
<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.
<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.
<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).
<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary
Statement Reason
1. ABCD is a parallelogram - Given
2.
- Definition of parallelogram
3.
is a diagonal of
and
- Definition of diagonal
4.
and
are the same side interior angles - Definition of same-side interior angles
5.
is supplementary to
- Same-Side Interior Angles Theorem
Because this is a sideways-opening parabola, and to the right to be specific, it will occupy Quadrants I and IV only. The vertex is at (3, 0).
Volume of a cylinder= π r² h
Diameter(D)= 2r
D= 225h
D= 225(2214)= 498150 ft
498150/2=r
r= 249075 ft
h= 2214 ft
V= π (249075²)(2214)
V= π(62038355625)(2214)
V ≈ 4.32*10^(14) ft³
Answer:
The volume is about 4.32*10^(14) cubic feet.
(If I got the numbers wrong for the height or diameter please let me know and I'll fix it later today because this answer seems really large and your numbers are written weird in your question. I attached an image of how your question appeared to me)
Hi there! The answer is y = x - 1
The general equation of a line in slope-intercept form is y = ax + b, with a representing the slope. Since this line is parallel to y = x + 4, the value of a (the slope) = 1.
Hence, y = 1x + b = x + b.
The line passes through the point (6, 5), so we can plug in the 6 at x and the 5 at y.
5 = 6 + b
Subtract 6.
- 1 = b
Switch sides.
b = - 1.
And therefore the answer is y = x - 1
~ Hope this helps you!