Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90

to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90

and we get 18 which is X.

Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.

First, distribute 5(y + 11)

Then you get this equation :

Now, add the two equations together

and you get this equation

Now subtract 45 from both sides

and divide by 9 on both sides

and you get your answer

So

and
This system has no solution.
x = -7y + 24 can be rewritten as x = 24 - 7y
to simplify x + 7y = 32, we have to subtract 7y from both sides
x = 32 - 7y
Now, our system is as follows:
x = 24 - 7y
x = 32 - 7y
Here we are finding x, given the angle and adjacent side. To find x we will use the function cos as cos = a/h.
So let's do cos(35°) = 15cm / x
cos(35°) = 0.8 (1 dp)
x = 15 cm / cos(35°)
x = 18.3 cm (1 dp)
Answer: x° = 77°
Step-by-step explanation:
x + 103 = 180
x = 180 - 103
x = 77°
also by properties:
x° = 42° + 35° = 77°
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.



Now,




Therefore, the measure of side BE is 9 units.