3 pair of pants dry clean for $18, is this a proportional equation
2 answers:
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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:
Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:
We need and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so would be 7
Now, the slope (m).
It has formula
So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:
Hence, the equation of the line in point-slope is:
Domain:
Range:
Asymptote @ y = -1
Red line in picture is the asymptote.
Range:
Asymptote @ y = -1
Red line in picture is the asymptote.