There are two coefficients, 11 for r and 7 for s
<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°
Answer:
x = 6
Step-by-step explanation:
The way to solve this is by subtracting 2x from both sides. Now we have
2x-5=7
Then we add 5 from both sides. Now we have
2x=12
We do this because we want X by itself
Then we divide by 2 on both sides and now we have
x = 6
If you have any questions feel free to ask in the comments.
