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Softa [21]
3 years ago
9

THE vertices of a triangle are P(-1,3), Q(2,-1), and R(5,3) choose all the congruent sides of the triangle

Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer:

PQ and QR are congruent.

Step-by-step explanation:

The length of PQ = sqrt [(2 - -1)^2 + (-1 - 3)^2]

= sqrt 25

= 5 units.

QR = sqrt [(5-2)^2 + (3 - -1)^2) ]

= sqrt 25

= 5 units.

PR =  sqrt [ ( 3-3^2 + (5- -1)^2]

= sqrt 36

= 6 units.

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Answer:

∠B = 60°

a = 4.0 units

b = 6.9 units

Step-by-step explanation:

The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.

The 3 angles are 90, 30 , ∠B .

<em>90+30+B = 180</em>

Thus, B = 180 - 120 = 60 degrees

by trigonometry,

sin(30) = \frac{a}{8} = 0.5

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2 years ago
A bag of marbles has 3 red, 4 blue, and 5 white marbles in it. What is the probability of reaching in and selecting a blue marbl
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Answer:

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Step-by-step explanation:

The number of red marbles in the bag is; n(R)=3.

The number of blue marbles in the bag is; n(B)=4.

The number of white marbles in the bag is; n(W)=5.

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