Answer:
m∠CFD is 70°
Step-by-step explanation:
In the rhombus
- Diagonals bisect the vertex angles
- Every two adjacent angles are supplementary (their sum 180°)
Let us solve the question
∵ CDEF is a rhombus
∵ ∠E and ∠F are adjacent angles
→ By using the second property above
∴ ∠E and ∠F are supplementary
∵ The sum of the measures of the supplementary angles is 180°
∴ m∠E + m∠F = 180°
∵ m∠E = 40°
∴ 40° + m∠F = 180°
→ Subtract 40 from both sides
∵ 40 - 40 + m∠F = 180 - 40
∴ m∠F = 140°
∵ FD is a diagonal of the rhombus
→ By using the first property above
∴ FD bisects ∠F
→ That means FD divides ∠F into 2 equal angles
∴ m∠CFD = m∠EFD =
m∠F
∴ m∠CFD =
(140°)
∴ m∠CFD = 70°
Answer:
12
Step-by-step explanation:
In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).
Let's say the man have z money, mangoes price is
z and the oranges price is
z. The equation for money and number of mangoes and oranges will be:
money = mango price * mangoes bought + orange price * orange bought
z=
z * x +
z *y
1=
x +
y
-
y=
x -1
y= -1.5x + 30
y= 30 - 1.5x
If he want equal number of mango and orange, that mean y=x. The calculation will be:
y= 30 - 1.5x
x= 30 - 1.5x
x+ 1.5x = 30
2.5x= 30
x=
= 12
333 because 3 goes in 6 twice so 3 3s go in 3 6s 333+333=666
Given:
Width of rectangular backyard =
feet
Length of rectangular backyard =
feet
To find:
The perimeter of yard.
Solution:
Formula or perimeter of a rectangle is

Using this formula, the perimeter of the rectangular backyard is


Therefore, the perimeter of the rectangular backyard is
feet. So,
feet fencing is needed.
44.85 BOOM get answered ~ vinny