ΔABC has two congruent angles. Therefore, it is an isosceles triangle.
Therefore we have the equation (1) 3x - 5 = y + 12.
All angles of the ΔDBC are congruent. Therefore it is an equilateral triangle.
Therefore we have the equation (2) 3x - 5 = 5y - 4
From (1) and (2) we have the equation:
5y - 4 = y + 12 <em>add 4 to both sides</em>
5y = y + 16 <em>subtract y from both sides</em>
4y = 16 <em>divide both sides by 4</em>
y = 4
Substitute the value of y to (1):
3x - 5 = 4 + 12
3x - 5 = 16 <em>add 5 to both sides</em>
3x = 21 <em>divide both sides by 3</em>
x = 7
<h3>Answer: x = 7 and y = 4</h3>
Answer:
Step-by-step explanation:
Let
we know that
The perpendicular bisector pass through the midpoint of AB
step 1
Find the midpoint AB
step 2
Find the slope of the given line AB
The formula to calculate the slope between two points is equal to
substitute
step 3
Find the slope of the perpendicular bisector
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
we have
----> slope of the given line
substitute in the formula
step 4
Find the equation of the perpendicular bisector
we know that
The equation of the line into point slope form is equal to
we have
substitute
The answer is B. If you solve the equation to equal each other, it would be 3 times 30 and then be 90=90 which would equal a 0 degree angle, which are not existant.
Answer:
11 hope it helps :)
Step-by-step explanation:
I would say look at the pattern. It would be 7/16. Look at the pattern closely.
