Option D should be the right answer
Answer:
1.
Statement: m∠A + m∠B + m∠C = <u>180°</u>
Reason: <u>Sum of Angles in a Triangle</u>
2.
Statement: 28° + x - 4° + <u>2x</u> = 180°
Reason: Substitution
3.
Statement: x = <u>52°</u>
Reason: Algebra
Answer:
$357.50
Step-by-step explanation:
25%×570.00
(25/100)×570.00
= $142.50
S.P= O.P-D.P
= (570.00-142.50)$
= $357.5
Answer:
![c = -6](https://tex.z-dn.net/?f=c%20%3D%20-6)
![d = -1](https://tex.z-dn.net/?f=d%20%3D%20-1)
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
--- Point on A
--- Corresponding point on B
When A is reflected across the x-axis, the rule is:
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
So, we have:
![(3,5) \to (3,-5)](https://tex.z-dn.net/?f=%283%2C5%29%20%5Cto%20%283%2C-5%29)
Next, is to calculate the translation from
to ![(-3,-6)](https://tex.z-dn.net/?f=%28-3%2C-6%29)
This is calculated using:
![3 + c = -3](https://tex.z-dn.net/?f=3%20%2B%20c%20%3D%20-3)
and
![-5 + d = -6](https://tex.z-dn.net/?f=-5%20%2B%20d%20%3D%20-6)
So, we have:
![3 + c = -3](https://tex.z-dn.net/?f=3%20%2B%20c%20%3D%20-3)
![c = -3-3](https://tex.z-dn.net/?f=c%20%3D%20-3-3)
---- i.e. Shift by 6 units to the left
![-5 + d = -6](https://tex.z-dn.net/?f=-5%20%2B%20d%20%3D%20-6)
![d = 5 - 6](https://tex.z-dn.net/?f=d%20%3D%205%20-%206)
--- i.e. Shift by 1 unit down