A) 2L + 2W = 48
B) L * W = 140
B) W = 140 / L
Inputting this to equation A)
A) 2L + 2*(140 /L) = 48
L + 140/L = 24
Multiplying both sides by "L"
L² + 140 = 24L
L² -24L +140 = 0
(L -10) * (L-14) = 0
L= 10
L = 14
If length = 10 then width =14
If length = 14 then width = 10
Tanθ = tan(3pi/4) = -1
y/x = -1
1/x = -1
x = -1
Point is (-1, 1).
Answer:
D. 127.5 square units
Step-by-step explanation:
AC=17
BD=15
AB=11.5
Diagonal (1&2) are given, base of the rhombus is also given.
Height is not given
Area of a rhombus given the diagonals
=1/2×d1×d2
Where,
d1=AC=17
d2=BD=15
Area of a rhombus=1/2×d1×d2
=1/2×17*15
=1/2×255
=127.5
D. 127.5 square units
Answer:

Step-by-step explanation:
Given
In ABC;


Required
Determine side F
In the given question;
DEF is a dilation of ABC
Comparing both triangles side by side,
Side F is a direct dilation of side C and this is calculated as follows


