Answer:
third angle = (-6x + 161)°
Step-by-step explanation:
180° = (x)° + (5x + 19)° + third angle →
180° = (6x + 19)° + third angle →
180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →
180° – (6x + 19)° = third angle →
180° + -(6x + 19)° = third angle →
180° + (-6x)° + (-19)° = third angle
180° – 6x° – 19° = third angle
(180° – 19°) – 6x° = third angle
161° – 6x° = third angle
third angle = 161 – 6x°
third angle = -6x° + 161°
third angle = (-6x + 161)°
Answer:
No solutions.
Step-by-step explanation:
If you normalize the second one by dividing by 2, you get:
y = 5/2x+4.
Now you see that both have the same slope (5/2). They are parallel lines that never intersect.
Answer:
2. x = 135
Step-by-step explanation:
im not sure about question 1
For this case we have the following equations:
2x - 3y = 1
2x + 3y = 2
When adding both equations we observe that:
Sentence 1: we have an equation of a variable, which in this case will be x. We can clear the value of x.
Sentence 2: Knowing the value of x, we can substitute in any equation and find the value of y.
Sentence 3: The value of x and y represents the point of intersection of both lines (x, y).
The angles of a triangle add up to 180 degrees
65 + 3x - 10 + 2x = 180
5x + 55 = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25 <====
m < B = 3x - 10 = 3(25) - 10 = 75 - 10 = 65 <== B is 65 degrees
m < C = 2x......= 2(25) = 50 <== C is 50