Angle B = ADC arc / 2
32 = ADC arc / 2
ADC arc = 2 × 32
ADC arc = 64
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ADC arc + ABC arc = 360
64 + ABC arc = 360
ABC arc = 360 - 60 - 4
ABC arc = 300 - 4
ABC arc = 296
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Angle D = ABC arc / 2
x = 296 / 2
x = 148
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Angle A = x - 40
Angle A = 148 - 40
Angle A = 108 degrees
Answer:
- price at store 1: $3493
- price at store 2: $3134
- savings buying from store 2: $359
Step-by-step explanation:
Given two lists of prices, you want to find the total of each and the magnitude of their difference.
<h3>Costs</h3>
The total package price is the sum of the prices of the components.
store 1: $2500 +595 +398 = $3493
store 2: $2350 +435 +349 = $3134
<h3>Savings</h3>
The savings if you buy the lower cost package is the difference of the package costs:
$3493 -3134 = $359 . . . . savings
Answer:
Step-by-step explanation:
When you solve these two equations, you end up with the same answer of 1/16 or 0.0625
The <u>correct answer</u> is:
B) A 90° counterclockwise rotation about the origin, followed by a reflection across the x-axis, followed by a translation 8 units right and 1 unit up.
Explanation:
The coordinates of the <u>points of the pre-image</u> are:
(3, 1)
(3, 4)
(5, 7)
(6, 5)
(6, 2)
The coordinates of the <u>points of the image</u> are:
(7,-2)
(4,-2)
(1,-4)
(3,-5)
(6,-5)
A 90° counterclockwise rotation about the origin negates the y-coordinate and switches it and the x-coordinate. Algebraically,
(x,y)→(-y,x).
When this is applied to our points, we get:
(3, 1)→(-1, 3)
(3, 4)→(-4, 3)
(5, 7)→(-7, 5)
(6, 5)→(-5, 6)
(6, 2)→(-2, 6)
A reflection across the x-axis negates the y-coordinate. Algebraically,
(x, y)→(x, -y).
Applying this to our new points, we have:
(-1, 3)→(-1, -3)
(-4, 3)→(-4, -3)
(-7, 5)→(-7, -5)
(-5, 6)→(-5, -6)
(-2, 6)→(-2, -6)
A translation 8 units right and 1 unit up adds 8 to the x-coordinate and 1 to the y-coordinate. Algebraically,
(x, y)→(x+8, y+1).
Applying this to our new points, we have:
(-1, -3)→(-1+8,-3+1) = (7, -2)
(-4, -3)→(-4+8,-3+1) = (4, -2)
(-7, -5)→(-7+8,-5+1) = (1, -4)
(-5, -6)→(-5+8,-6+1) = (3, -5)
(-2, -6)→(-2+8,-6+1) = (6, -5)
These match the coordinates of the image, so this is the correct series of transformations.
Answer:
Step-by-step explanation:
"A" must be added to first expression to get the second one:
- A + 2x² - 3 xy + 5yz = x² - xy + y²
- A = ?
------------------------
- A = x² - xy + y² - (2x² - 3 xy + 5yz) =
- x² - xy + y² - 2x² + 3 xy - 5yz=
- -x² + y² + 2xy - 5yz