2 angles that have the same angle measure are congruent.
Given that the two angles have the same angle measure.
Congruence is a term reserved for geometry. Two metrics are congruent when you can perfectly map to each other by mirroring, rotating, and translating without distortion.
We know that two shapes or objects are congruent if they have the same shape and the same size. For two angles to be congruent, they must coincide when they are overlapped. This is only possible if the two angles are equal.
Therefore, if two angles have the same measure, then they are said to be congruent.
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In order for two linear lines to be perpendicular, the product of their gradient must be -1.
Let's take y = x + b and y = -x + b
This is already in the form: y = mx + b, where m is 1 and -1 respectively.
Since the product of their gradient is -1, they are said to be perpendicular.
Well, the y-intercept is represented by B. So b would be the dot crossing the y-axis in each graph (which you already circled). Next, the slope for top left is: -1.5, top right is: -1.7, bottom left is: 3, and bottom right is: 1.33. I got those by using this very helpful website named Desmos. Now, I’m order to write the equation for each graph is very simple, all you have to do is put in the slope and y-intercept into the equation. For example, the top left one would be:
y = -1.5x + 4 since we know that the slope is equal to -1.5 and the y-intercept is equal to 4. Hope this helps :)
Answer:
16
14
8
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given
1 + x = 7 - 2x ( add 2x to both sides )
1 + 3x = 7 ( subtract 1 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
