We must look first for the properties given, so we have:
Rectangle - four sides, two pairs of opposite sides are parallel, four right anglesQuadrilateral - a four-sided figureRhombus - four sides, two pairs of opposite sides are parallel, all sides equal
So we're finding for a shape that has four sides that are all equal, with two pairs of parallel sides, and has four right angles. So from this description, we can say that it is a square. Squares have two pairs of parallel sides (like a rhombus and rectangle), four right angles (like rectangles), and four sides that are equal (like a rhombus). A square is also both a rectangle and a rhombus.
Hello from MrBillDoesMath!
Answer:
l = s/3.14 - r^2
Discussion:
s = 3.14 l + 3.14 r^2 => divide both sides by 3.14
s/3.14 = l + r^2 => subtract r^2 from both sides
(s/3.14) - r^2 = l
Thank you,
MrB
Answer:
The answer to your question is length = 24 ft
Step-by-step explanation:
Data
Rectangular-shaped
Area = 360 ft²
lenght = x
width = 5/8x
Formula
Area = length x width
- Substitution
360 = (x)(5/8x)
- Solve for x
360 = 5/8x²
x² = 360(8)/5
x² = 2880 / 5
x² = 576
- Result
x = 24 ft
- Conclusion
The length of the living room is 24 ft and the width is 24(5/8) = 15 ft.
Answer:
20) MAD = 60°
21) <LPN = 57°
22) Second and third images, XY is the tangent of circle Z
23) x = 11.2
Step-by-step explanation:
20)
<B = <C
11x - 3 = 8x + 15
3x = 18
x = 3
so
<B = <C = 11(3) - 3 = 33 - 3 = 30
mAD = 2(30) = 60
21)
a) <LPN = 1/2(360 - 102 - 144)
= 1/2(114)
= 57°
22)
The tangent to a circle is perpendicular to the radius at the point of tangency.
a)
(7+5)^2 = 7^2 + 10^2
(12)^2 = 49 + 100
144 ≠ 149
First image, XY is not tangent of circle Z
b)
20^2 = 12^2 + (8+8)^2
400 = 144 + 256
400 = 400
Second image, XY is the tangent of circle Z
c)
(11.7 +7.8)^2 = 11.7^2 + 15.6^2
380.25 = 136.89 + 243.36
380.25 = 380.25
Third image, XY is the tangent of circle Z
23)
x^2 = (8.4+5.6)^2 - (8.4)^2
x^2 = 196 - 70.56
x^2 = 125.44
x = 11.2
