Answer:
37°
Step-by-step explanation:
As we know the sum of angles of a triangle is 180 degrees.
Therefore,
angle A + angle B + angle C = 180°
In the given picture two angles are given and we have to find out the third angle.
x° + 45° + 98° = 180°
x° + 143° = 180°
x° = 180° - 143°
x° = 37°
The value of x in the triangle shown is 37°.
Answer:

Step-by-step explanation:
Since we are given a point and a slope, we should use the point-slope equation.

where <em>m</em> is the slope and (x₁, y₁) is the point the line passes through.
We are given the slope of 1/2 and the point (4, -3). Therefore:

Substitute the values into the formula.


Distribute the 1/2. Multiply each term inside the parentheses by 1/2.


We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.


The equation of the line is <u>y=1/2x-5</u>
2. Def. angle bisector
3. Angle Addition Postulate
4. Addition Property
5. Multiplication Property
6. Angle Bisector Theorem
Answer:


Step-by-step explanation:
<u>Equation of a line
</u>
We only need two points through which it passes to define the equation of a line. The graph provided in the question shows two clear points to pick: (0,-2) and (3,-1)
Now we wet up the equation of the line by using the formula

Plugging in the points:

Operating


The values of m and b are
