<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°
Arrange from smallest to largest
-25, -12/4, 1/5, 18/5, 10
chose the middle number
1/5
No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error
Answer:
D
Step-by-step explanation:
The answer is point D(-2,1).
1. If the point D was moved down 2 units, then its coordinates became (-2,-1).
2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).
3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).
4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).
Answer:
B.
Step-by-step explanation:
x < 2 means all numbers less than 2. that is an open dot on 2 and shading to the left.
x >= -8 means -8 and all numbers greater than -8. that is a closed dot on -8 and shading to the right.
Answer: B.