<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:
Heads: 5/8
Tails: 3/8
Step-by-step explanation:
The probability of getting tails is 375/1000 OR 3/8.
The probability of getting heads is 625/1000 OR 5/8.
Answer: The first blank would be 71 and the second blank would be 32 and the 3rd blank would be 8
Step-by-step explanation: because on the first on it added by 7 so you would have to do the same for all of them.