I need help With this I will mark you if your awnser is right
1 answer:
Answer:
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees.
In this triangle, the angles are A, B , and C. So,
- ∠A + ∠B + ∠C= 180°
∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.
- 60°+3x+x=180°
This is the equation we can use to find the value of x.
We also have like terms: 3x and x that can be combined.
- 60° + (3x+x)= 180°
- <u>60° + 4x=180° </u>
<u />
We can use the equation to solve for x. We have to isolate the variable.
60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.
- 60°-60°+4x=180°-60°
- 4x= 180°-60°
- 4x=120°
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
- 4x/4= 120°/4
- x= 120°/4
- <u>x=30 </u>
You might be interested in
Answer:
y = -4x - 4
Step-by-step explanation:
If we have two lines in slope intercept form as
then the product of the slopes
In other words,
We have the first line as
The slope of this line is
The slope of a perpendicular line will be the negative of the reciprocal of this line
Reciprocal of 1/4 is 4
So slope of perpendicular line is -4 which implies
y = -4x + c
We have to determine c
Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c
8 = (-4)(-3) + c
8 = 12 + c
c = -4
So the equation of the perpendicular line is y = -4x - 4 (Answer)
It is always a good idea to plot these graphs and see if they fit the data provided
The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)
