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kap26 [50]
3 years ago
13

Help me pleass guyss ..........

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Step-by-step explanation:

3)= x + 57° = 140°

x = 140° - 57°

so, x = 83°

4)= x + 63° + 47° = 180°

or, x = 180° - 110°

so, x = 70°

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A puzzle in the form of a quadrilateral is inscribed in a circle. The vertices of the quadrilateral divide the circle into four
e-lub [12.9K]

Answer:

Therefore,

∠A = 30°

∠B = 60°

∠C = 150°

∠D = 120°

Step-by-step explanation:

Given:

A puzzle in the form of a quadrilateral is inscribed in a circle.

The vertices A ,B ,C ,D of the quadrilateral divide the circle into four arcs in a ratio of 1 : 2 : 5 : 4.

Let the common multiple be "x" then the angles will be

∠A = 1x

∠B = 2x

∠C = 5x

∠D = 4x

To Find:

The angle measures of the quadrilateral = ?

Solution:

In a Quadrilateral inscribed in a Circle,

Sum of the measure of all the angles in a Quadrilateral is 360°

m\angle A +m\angle B +m\angle C +m\angle D=360

Substituting the values we get

x+2x+5x+4x=360\\\\12x=360\\\\x=\dfrac{360}{12}=30

Therefore the measures are

∠A = 30°

∠B = 2 × 30 = 60°

∠C = 5 × 30 = 150°

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∠A = 30°

∠B = 60°

∠C = 150°

∠D = 120°

7 0
3 years ago
Read 2 more answers
It is known that 10% of the calculators shipped from a particular factory are defective. what is the probability that at least o
seraphim [82]
P = 10% = 0.1
q = 1 - 0.1 = 0.9
P(at least one defective calculator) = P(1) + P(2) + P(3) + P(4) = 1 - P(0)

The brobability of a binomial distribution is given by
P(x)=^nC_xp^xq^{n-x}
where: n = 4
P(0)=^4C_0(0.1)^0(0.9)^4=1\times1\times0.6561=0.6561
Therefore,
P(at least one defective calculator) = 1 - 0.6561 = 0.3439
6 0
4 years ago
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