What type of angle is it? What is the measurement?
1 answer:
Below I have included an image that has the measure of all of the angles on it.
We can find the measures of the angles here due to the laws about complimentary angles. A pair of complimentary angles can be formed when 2 lines are perpendicular, and when added together, will always equal 90. The pair are the angles that are not directly adjacent from each other. In this figure, "x" and "(4x-10)" are a pair. According to another law, opposite angles, or adjacent angles, will always be equal to each other. Using the logic above is how we can find the measure of all angles.
Since one angle has a box, we know the lines are perpendicular, and that the laws of complimentary angles apply. We can also use that to see that the angle diagonal from it is equal to 90.
To solve for the other measures, we need to add the 2 equations together and set them equal to 90 (because of that law we talked about before).
x+(4x-10)=90
5x-10=90
+10+10
5x=100
/5 /5
x=20
Now that we know x equals 20, we can substitute that value in and solve.
x=20
=(4x-10)
=(4*20-10)
=(80-10)
=70
We also know this is correct because 20 and 70 equal 90.
We can find the measures of the angles here due to the laws about complimentary angles. A pair of complimentary angles can be formed when 2 lines are perpendicular, and when added together, will always equal 90. The pair are the angles that are not directly adjacent from each other. In this figure, "x" and "(4x-10)" are a pair. According to another law, opposite angles, or adjacent angles, will always be equal to each other. Using the logic above is how we can find the measure of all angles.
Since one angle has a box, we know the lines are perpendicular, and that the laws of complimentary angles apply. We can also use that to see that the angle diagonal from it is equal to 90.
To solve for the other measures, we need to add the 2 equations together and set them equal to 90 (because of that law we talked about before).
x+(4x-10)=90
5x-10=90
+10+10
5x=100
/5 /5
x=20
Now that we know x equals 20, we can substitute that value in and solve.
x=20
=(4x-10)
=(4*20-10)
=(80-10)
=70
We also know this is correct because 20 and 70 equal 90.
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Answer:
Explanation:
Rivers have three sections or courses: the upper course, middle course and lower course. The upper course of a river typically sees much erosion of bedrock in order to achieve the equilibrium mentioned above.
The upper course is also at the highest altitude as this is where the headwaters of the river originate. Rivers in the upper course erode down vertically which often creates a steep channel profile in what becomes the river valley.
The middle course sees a river at a slightly lower altitude than the upper course, but is still maintains a sense of trying to acquire equilibrium in flow and shape. The discharge and velocity of the river still allows the water to erode the banks and chart a course of least resistance through lateral erosion.
The lower course is unique as this is the stage in which a river has reached sea level. Here we find features not found in the middle and upper courses like floodplains and river deltas that have been formed by the sediment deposits of rocks and dirt gathered from upstream.
