Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒ 
Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
Joe's Painting: 20x + 100 = y
Steve's Painting: 15x + 120 = y
x = hours worked
y = total income
We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:
20x + 100 = 15x + 120
First, we have to move the 100 by subtracting it from both sides.
20x = 15x + 120 - (100)
20x = 15x + 20
Then, we need to move the 15x by subtracting it from both sides.
20 - (15x) = 20
5x = 20
Lastly, we need to divide 5 from both sides.
5x = 20/5
x = 4
Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.
Answer:
yes
Step-by-step explanation:
Answer:
1. yes
2. NO
3.NO
4.NO
Step-by-step explanation:
A B
D C
vectors
AB = DC
AB (-2-7 ; 3-1) => AB (-9 ; 2)
DC (1-x : -7-y)
1 - x = -9 => x = 10
-7-y = 2 => y = -9
D(10 ; -9)
