Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) 
Given.
2) 
By (Eq. 1)
3) 
By (Eq. 2)
4) 
By (Eq. 3)/Result
Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
Answer:
<h2>12 </h2>
Step-by-step explanation:
<h2>2.5x = 30</h2><h2>x = 30 / 2.5</h2><h2>x = 12</h2>
Answer:
4 and 6
Step-by-step explanation:
First, let's find all the pairs that add up to 10.
- 1 + 9, 2 + 8, 3 + 7, 4 + 6, and 5 + 5
Next, we find the difference between the addends for each pair.
- 9 - 1 = 8
- 8 - 2 = 6
- 7 - 3 = 4
- 6 - 4 = 2
- 5 - 5 = 0
As you can, see the numbers that add to 10 and have a different of 2 is 4 and 6.
The answer i got is b<-18.. i’m not sure if it’s right but you could try ! :).. i’m very sorry if you get it wrong .
