Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°

Hope this helps!! :)
Please let me know if you have any questions
The equation for the total number of paintings she sold to earn $1390.72 is:
, option A.
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- Tara sells her paintings for $328 each, and a 6% sales tax is added. Thus, her earnings for selling x paintings are of:

- Her earnings are of $1390.72, thus, the equation is:

Which is given by option A.
A similar problem is given at brainly.com/question/23365994
Answer:
The product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.
Step-by-step explanation:
Let first number be x and second number be y .
Then product of x and y = xy ......(1)
Given the first number increases by 70%, while the second number decreases by 40% this means,
x is increased by 70% that is
increased value of x = x + 0.7(x) = 1.7 x
Similarly y is decreases by 40% that is
decreased value of y = y - 0.4(y) = 0.6y
New product will be = (increased value of x )( decreased value of y)
= (1.7x)(0.6y)
=1.02xy
Changed Percentage = 
Substitute the values, we get,
Changed Percentage = 
Changed Percentage = 
Changed Percentage = 
Changed Percentage = 
Thus, the product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.
Answer:
.2
Step-by-step explanation:
when the slope is 7.2 you subtract
57-10.51=46.49
46.49-8.73=37.76
37.76-8.47=29.29
Therefore Daniel has $29.29 left.