Should be the right answer ☺️
Simplify -3/4(5p-12)+2(8-1/4p)
1 answer:
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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:
y = 7°
Step-by-step explanation:
By interior angle sum theorem of a triangle.
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
Dimensions of the room is given by
15 ft by 25 ft
Let x be the width around the rug.
So, new length = 15-2x
new breadth = 25-2x
Since Area of the rug = 264 sq. ft
So, it becomes,
Hence, Option 'a' is correct.