Answer:
22.
R= -8, 15
S= -5, 9
T= -8,9
23.
J = 4, 4
K = 4, 3
L = 1, 1
M = 1, 4
Step-by-step explanation:
rotation of -90= y, -x
so R (-7, -5) = -5,7
S (-1, -2) = -2, 1
T (-1, -5) = -5, 1
now we translate 3 left (x-3) and 8 up (y+8)
R (-5, 7) = -8, 15
S (-2, 1) = -5, 9
T (-5, 1) = -8, 9
reflection of x-axis= x, -y
J (-4, 4) = -4, -4
K (-3, 4) = -3, -4
L (-1, 1) = -1, -1
M (-4, 1) = -4, -1
Then a 180° rotation is (-y, -x)
J (-4, -4) = 4, 4
K (-3, -4) = 4, 3
L (-1, -1) = 1, 1
M (-4, -1) = 1, 4
∠4 is also 75 (interior opp angles)
Since opposite angles and sides are equal, then the quadrilateral ABCD is a parallelogram.
Given that, ABCD is a quadrilateral, segment AB is congruent to segment CD, ∠1 is congruent to ∠2.
We need to prove that ABCD is a parallelogram.
<h3>
How to prove a given quadrilateral is a parallelogram?</h3>
If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it’s a parallelogram.
From the given quadrilateral ABCD:
AB=CD (Given)
∠1=∠2 (Given)
AC=AC (Diagonal)
From ASA congruency ΔABC and ΔADC are congruent.
By CPCT, AD=BC and ∠ABC=∠ADC.
Since opposite angles and sides are equal, then the quadrilateral ABCD is a parallelogram.
To learn more about parallelogram visit:
brainly.com/question/1563728.
#SPJ1
The width is basically the diameter:
Given
Diameter = 5.5 cm
So Radius =

=

= 2.75 cm
Height of cylinder = 12.5 cm
Formula of the volume of a cylinder
V = Area of base × height of prism
=

r² × h
=(2.75)² (

) × 12.5
=7.5625

× 12.5
≈ 296.83 cm³
The width of Florida is 360.
Because you take the length and then divided it by the denominator and then times by the numerator so:
450 divided by 5 = 90
90 x 4 = 360
Hope this helps :)