<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:
-(√2) + √3
Step-by-step explanation:
2√3 - (√2 + √3)
2√3 - √2 - √3
2-1√3 - √2
√3 - (√2)
or.
-(√2) + √3
the answer is not in the possible answers
<span>3^2 + 4^2 = 5^2
answer is </span>A) 3^2 + 4^2 = 5^2
I don’t get what you mean. Reword it
Answer:
x = 11.75
y = 11.5
Step-by-step explanation:
By Elimination Method:
7x - 3y = 48 ---- (1)
-
<u> 2x + y = 35 ----</u>- (2)
Multiply equation (1) by 2 and equation (2) by 7
14x - 6y = 96
-
<u> 14x + 7y = 245 </u>
<u> 0 -13y = -149</u>
-13y = -149
y = -149/-13
y = 11.5
From equation (2); replace y with 12
2x + y = 35
2x + 11.5 = 35
2x = 35 - 11.5
2x = 23.5
x = 11.75
