M<ABC = m<EBD = 36 (vertical angles)
78 - x + 36 + 3x - 10 = 180 (straight angle)
Now solve for x
78 - x + 36 + 3x - 10 = 180
2x + 68 = 180
- 68 -68 (subtract 68 on both sides)
2x = 58
x = 29
Answer:
x=5 and y=-2
Step-by-step explanation:
3x+5y=5
-(7x+5y=25)
-4x=-20
x=5
plug 5 into one of the equations. 3(5)+5y=5
y= -2
The value of the variable x is 3/4
<h3>What are congruent segments</h3>
Congruent segment are segments with equal or congruent lengths.
From the information given, we have that line AB is approximately equal to line BC. This is represented as;
AB = BC
Where;
Now, let's equate the expressions
4x + 7 = 20x - 5
collect like terms
4x - 20x = - 5 - 7
- 16x = - 12
Make 'x' the subject of formula
x = -12/-16
x = 3/4
Thus, the value of the variable x is 3/4
Learn more about line segments here:
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About $0.48
you can make an equation
12/5.79 = 1/x
Answer:
20
Step-by-step explanation:
Line m and n are parallel lines cut by the transversal (without name). So, angles with measures 
and 
are corresponding angles.
The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Hence,
