Answer:
(5, -3)
Step-by-step explanation:
let (x1, y1) = (6, -7) and (x2, y2) = (4,1)
(Xmidpoint, Ymidpoint) = ( (x1+x2) / 2, (y1+y2) / 2)
= (5, -3)
Hello!
The answer is z = 16..
Solve it like this..
#1) Regroup terms
-3 = -7+z/4 ---> -3 = z/4 - 7
#2) Add 7 to both sides.
-3 = z/4 - 7 ---> -3 + 7 = z/4
#3) Do the addition.
-3 + 7 = z/4 ---> 4 = z/4
#4) Multiply both sides by 4.
4 = z/4 ---> 4 * 4 = z.
#5) Do the multiplication.
4 * 4 = z ---> 16 = z
Hope this helps! ☺♥
X + 2y = 3 Solve the Equation
- 2y -2y
x = 3 - 2y
5x + 3y = 8
5(3 - 2y) + 3y = 8 Substitute x
15 - 10y + 3y = 8 Combine Like Terms
15 - 7y = 8
-15 -15
-7y = -7
Divide 7 from y (Do on both sides)
y = 1
x = 3 - 2(1) Substitute y
x = 3 - 2
x = 1
(X, Y) = (1, 1)
Hello! So, you use 120 pieces of fabric. You could not use all 120 pieces, because you can not make a square. The most you could use to make a square is 100. That would be 10 squares a row, with a side length of 6, which would make a perimeter of 60. Then, the other side would be 60. So 60 * 60 is 3600. The area of the blanket is 3600 square inches.
Answer:
The length of diagonal BD is 11·(1 + √3)
The length of diagonal AC = 22
Step-by-step explanation:
The given data are;
Quadrilateral ABCD = A kite
The length of segment AD = 22
The measure of ∠DAE = 60°
The measure of ∠BCEE = 45°
Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;
AE = EC
DE = 22 × sin(60°) = 11·√3
AE = 22 × cos(60°) = 11
∴ AE = EC = 11
BE = EC × tan(∠BCE) = 11 × tan(45°) = 11
The length of the diagonal BD = BE + DE (By segment addition property)
∴ BD = 11 + 11·√3 = 11·(1 + √3)
The length of diagonal BD = 11·(1 + √3)
The length of diagonal AC = AE + EC
∴ AC + 11 + 11 = 22
The length of diagonal AC = 22.
