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
<u>Answer-</u>
The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are
<u>Solution-</u>
Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)
The applying the distance formula,
Two equations are formed because one will be upper from the the given line and other will be below it.
Answer:
percentage = 18000000%
~hope this helps, have a gr8 day/night my friend!~
Step-by-step explanation:
Answer:
if you meant f(x) = (x - 1) /3 then f (g(x) ) = x
of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3
Step-by-step explanation:
f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)
f ( g(x) ) = (3x + 1) - (1/3) = 3x + 2/3
Or
if you meant f(x) = (x - 1) /3 then f (g(x) ) = x
of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3
The garden's perimeter = 3+2s+12+s.
The simpler version of the expression = 15+3s.
The variable's frequency in the abbreviated statement is 3.
<h3>Calculation of a triangle's perimeter:</h3>
The triangle's perimeter is equivalent to the sum of its edges, where a, b, and c are its sides.
- Let the triangle's longest edge be 'a'
- shorter one to be 's'
- the opposite side 'b'
With the information provided, the formula will become 'a = 3+2s'
and 'b' is also 12 ft.
Triangle perimeter =the total of its edges
= a + b + s
= 3 + 2s + 12 + s
= 15 + 3s
As a result, the garden's perimeter = 3+2s+12+s.
Therefore,the simpler version of the formula is 15+3s.
The variable's coefficient in the abbreviated statement is 3.
Learn more about triangle perimeter:
brainly.com/question/23935199?referrer=searchResults
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