Why dose a triangle form 180 degress
1 answer:
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The value of x is 81
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360°
- The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
- The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
- The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
- We need to find the value of x
∵ The figure have 4 sides
∴ The figure is a quadrilateral
∵ The sum of the measures of the interior angles of a
quadrilateral is 360°
- Add the four angles and equate the sum by 360
∴ m∠1 + m∠2 + m∠3 + x = 360
∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral
∴ m∠1 = 40% × 360 = × 360 = 144°
∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral
∴ m∠2 = 12.5% × 360 = × 360 = 45°
∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral
∴ m∠3 = 25% × 360 = × 360 = 90°
- Substitute these values in the equation above
∴ 144 + 45 + 90 + x = 360
- Add the like terms in the left hand side
∴ 279 + x = 360
- Subtract 279 from both sides
∴ x = 81°
The value of x is 81
Learn more:
You can learn more about the polygons in brainly.com/question/6281564
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The missing figure is attached down
Answer:
Container A is filling more quickly
Step-by-step explanation:
<em>Let us explain the linear relation</em>
The linear equation is y = m x + b, where
- m is the slope of the line which represents the rate of change (change in y/change in x)
- b is the y-intercept which means the initial amount of y (at x = 0)
<em>If a line represents the amount of water over time, then it represents the rate of filling of the water</em>
∵ There are two containers A and B that have the same size
∵ The two lines represent the amount of water over time in
containers A and B
∴ The slopes of the lines represent the rat of water in the tanks
→ That means the greater slope represents the greater rate
∵ The greater the slope, the steeper the line
∴ The container that represented by the steeper the line is filling quickly
→ The line represents container A is steeper more than the line
represents container B
∴ Container A is filling more quickly
