Please help asap!! find the value of x
1 answer:
Base angles in an isosceles triangle, assuming the base is the one that does not match any other side, are equal.
You are told one of them on the 1st triangle. 55º.
So you can assume the other one will also be 55º.
Internal angles in a triangle add up to 180º.
Subtract the sum of both angles () from 180 and you will get the third one (
).
This 70º angle is vertically opposite to one of the base angles of the other isosceles triangle. Knowing vertically opposite angles are equal, then the other angle must be also 70º.
Now you have one of the base angles for the second isosceles triangle!
Again, knowing that base angles in an isosceles triangle are equal, must be equal to 70º.
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So you correctly wrote that the slope is represented by Δy/Δx. The Greek capital letter delta means "change in," so we are looking at the change in y divided by the change in x. You might also hear this called "rise over run," because change in y is the vertical change (rise) and change in x is the horizontal change (run).
Now, to find the change in y and x, we need to take two points,
and 
. We can then find the slope, m, as below:
So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!
1) let's take x = -1, y = -5 and x = 0, y = 3. We can write
and 
(we can choose either point to be 
so long as we're consistent.
This is a positive (+) change.
2)
Negative (–).
3)
Positive (+).
4)
Positive (+).
5)
Negative (–).
Now, to find the change in y and x, we need to take two points,
So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!
1) let's take x = -1, y = -5 and x = 0, y = 3. We can write
This is a positive (+) change.
2)
Negative (–).
3)
Positive (+).
4)
Positive (+).
5)
Negative (–).