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RideAnS [48]
3 years ago
5

Help plz due in 6 mins

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0
Here what i got
3
12
48
192
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How does the measure of the pink inscribed angle compare with the measure of the blue intercepted arc? How do you know?
Goryan [66]

Answer:

The pink angle is half the angle subtended by the blue arc.

Step-by-step explanation:

Given

See attachment for circle

Required

Compare the pink angle to the blue arc

Let the pink angle be x and the angle subtended by the blue arc be y.

So, we have:

x \to angle at circumference

y \to angle subtended by arc

The relationship between x and y is:

y =2x

Make x the subject

x = \frac{1}{2}y

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What is 5/10 in decimal
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7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the
tatiyna

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 = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

6 0
3 years ago
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