Answer:
<u><em>9 (3x+2)</em></u>
Step-by-step explanation:
<u>27x + 18 = 9 (3x+2)</u>
<em>By simplifying the Given expression you get 9 (3x+2) </em>
<em>and no matter how many times you simplify that expression you always get the expression you started with so in other word their equavalent to each other</em>
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<u><em>Hope this helps</em></u>
(11*5)+(4*10)=95
11+4=15
Both are equal to the constraints of the word problem and there for justified.
I hope this helps you
3.2x-3.4+4x-2
6x-12+4x-2
10x-14
<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°
