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:a
a=y
Step-by-step explanation:
Horizontal line (Coordinate Geometry) Definition: A straight line on the coordinate plane where all points on the line have the same y-coordinate. ... A horizontal line is one the goes left-to-right, parallel to the x-axis of the coordinate plane. All points on the line will have the same y-coordinate.
Answer:
Hence, the graph is decreasing in the interval: –4 ≤ x ≤ 2 ( option: B is correct)
Step-by-step explanation:
We have to define the interval in which the graph of the given function is decreasing.
Clearly by looking at the graph we could see that the graph is first increasing till x<-4.
and then it decreases in the interval [-4,2] since the value of y changes from y=9 at x= -4 to y= -9 at x=2.
also after x=2 the graph increases till x=6 and after x=6 the graph is constant i.e. the graph is represented by the line:
y=5 in the interval x≥6.
Hence, the graph is decreasing in the interval:
–4 ≤ x ≤ 2 ( option: B is correct)
Remark
As long as the representation shows the numbers come one after another, you can get x to be anything.
Givens
x Can be the second number
x - 1 Can be the first number
x + 1 Can be the third number
x + 2 Can be the fourth number
Equation
x + x + 2= 132
Solution
2x + 2 = 132
2x = 130
x = 65
So the 4 numbers are 64 65 66 67
Check
The second and fourth numbers added together = 65 + 67 = 132
Answer:
y + 6 = 
(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = and (a, b) = (- 2, - 6 ) , thus
y - (- 6) = (x - (- 2) ) , that is
y + 6 = (x + 2)
