Answer:
quadrilateral ABCD is not congruent to quadrilateral KLMN. quadrilateral ABCD cannot be mapped onto quadrilateral KLMN through a series of rotations, reflections or translations.
Answer:
Kenyan French Roast coffee x=6
Sumatran coffee y=14
Step-by-step explanation:
x+y=20 blend coffee
8x+7y=7.3(20) selling price
x+y=20 ⇒ x=20-y
substitute in the equation:
8x+7y=7.3(20)
8(20-y)+7y=7.3(20) for 20 pound blend
160-8y+7y=146
-y=146-160
y=14 pond
x+y=20
x=20-14=6
check : 14*7+6(8)=146/7.3=20 pound
The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
<h2>A. 1</h2>
Step-by-step explanation:
Use:
|a| = a for a ≥ 0 or |a| = -a for a < 0
PEMDAS:
P Parentheses first
E Exponents
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
========================================
|8 - 7| · 4 + 3(-1)
= |1| · 4 - 3
= 1 · 4 - 3
= 4 - 3
= 1
B is the correct answer.
8 x 35 = 280
