Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to
This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.
Combine like terms:
Divide both sides by 12:
We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x = 
°
∠BCD = 3x = 
°
∠CDA = 2x = 
°
∠DAB = 3x = °
Hope this helped!
Suppose you roll a red number cube and a blue number cube. What is the probability that you will roll a 5 on the red cube and a 1 or 2 on the blue cube?
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = 
( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = 
← equation of variation
When x = 5 and z = - 5, then
y = 
= 
= 36
a+b= 8+24=32
Ab=8 x 24= 192
B/a= 24:8=3
(a+b)²=(8+24)² =64+576+384= 1024
Pls mark as brainliest
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
