THEOREM:
•<u> </u><u>Supplementary angle</u> —» The sum of two angles is equal to 180°.
ANSWER:
By supplementary angle property,
So, m∠QRS + m∠ABC = 180°
- m∠QRS + 41° = 180°
- m∠QRS = 180° - 41°
- m∠QRS = 139°
Answer:
We can express the equation for any linear equation with slope -2 and point (x0,y0) as:
Step-by-step explanation:
Incomplete question:
There is no point to complete the equation.
As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.
The linear equation can be written generically as:
If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:
Then, we can calculate b as:
We can express the equation for any linear equation with slope -2 and point (x0,y0) as:
Answer:
2.3 < x < 8.7
Step-by-step explanation:
Given 2 sides of a triangle then the 3rd side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
5.5 - 3.2 < x < 5.5 + 3.2
2.3 < x < 8.7
Answer: The solution is (3, -2)
This means that x = 3 and y = -2 pair up together.
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Explanation:
The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).
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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation
y = (-5/3)x + 3
y = (-5/3)*3 + 3
y = -5+3
y = -2
The first equation is confirmed. Let's check the second equation
y = (1/3)x - 3
y = (1/3)*3 - 3
y = 1 - 3
y = -2
Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.