The answer is y = 100
To get this answer, you add 17 to both sides to undo the "minus 17" that is happening on the right side.
83 = y-17
83+17 = y-17+17 ... add 17 to both sides
100 = y
y = 100
i am not 100% sure but...
(4x+3)=47
<u> - 3 - 3 </u>
4x=44
44/4= 11
so x = 11
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
A. y-intercept
B. The slope is 3/4, the y-intercept is 0
C. For this one you need to put it in y-intercept form. So, you subtract 2x, and move it over to 12. The equation would look like 6y = 2x + 12.
Then, divide everything by 6, and the equation would look like: y = 2/6x + 2
Thus, the slope is 2/6x and 2 is the y-intercept.
