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andreev551 [17]
3 years ago
10

During a school visiting day,a mother visited her daughter.She carried a bag containing 12 oranges,16 apples, and 8 mangoes,all

of them the same size.She draws 3 fruits for her daughter's friends without replacement.Find the probability that;
a The 3 are oranges
b 1 is Apple, the other 2 mangoes
c 1 is orange,1 apple and a mango​
Mathematics
1 answer:
kondaur [170]3 years ago
6 0
3 oranges because the mother wouldn’t draw mangoes- because it would be too hard. And she wouldn’t get an apple
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Are this two triangles similar?
Alex73 [517]
<h3>Answer:   </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

======================================================

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that \triangle ABC \sim  \triangle DE F

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

5 0
3 years ago
Why is it not possible to form a right triangle with the lengths 2, 4, and 7? *
puteri [66]

Answer:

No. The sum of 2 and 4 is less than 7.

Step-by-step explanation:

So, first, to create a triangle, the sum of two smallest sides have to be greater than the longest side, which is 2+4 = 6, and 6 is smaller than 7.

So, no, 2, 4, and 7 cannot create a triangle, to be exact a right triangle.

Hope this helps!!

8 0
3 years ago
Read 2 more answers
An equation is shown below: 8x + 2(x – 7) = 7x + 3x – 14 Part A: Solve the equation and write the number of solutions. Show all
marta [7]

Answer:

  1. Infinitely Many
  2. Distributive Property

Step-by-step explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14                 Distributive property.

10x - 14 = 10x - 14                              Combine the like terms.

-14 = -14                                             Subtraction.

0 = 0                                                  Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.

7 0
1 year ago
Please help me find the answer !
Marina CMI [18]

Answer:

x = 12

y = 6√3

Step-by-step explanation:

✅Apply the intersecting secant theorem to find x. Thus:

6(6 + x) = 7(7 + 8³/7)

Convert the mixed fraction to improper fraction

6(6 + x) = 7(7 + 59/7)

36 + 6x = 49 + 59

36 + 6x = 108

6x = 108 - 36

6x = 72

Divide both sides by 6

x = 72/6

x = 12

✅Apply the tangent-secant theorem to find y. Thus:

y² = 6(6 + x)

Plug in the value of x

y² = 6(6 + 12)

y² = 6(18)

y² = 108

y = √108

y = 6√3

4 0
3 years ago
Find the probability of each event. A gambler places a bet on a horse race. To win, he must pick the top three finishers in any
Lina20 [59]

Answer: \dfrac{1}{56}

Step-by-step explanation:

Total horses = 6

Number of ways to choose top 3 finishers in order = 3! = 6

Number ways to select 3 horses out of 8 in order = ^8P_3  [By permutations]

=\dfrac{8!}{(8-3)!}=\dfrac{8!}{5!}=8\times7\times6=336

Now, the probability that the gambler will win his bet =

\dfrac{\text{Number of ways to choose top 3 finishers }}{\text{Number ways to select 3 horses out of 8 in order}}

=\dfrac{6}{336}\\\\=\dfrac{1}{56}

Hence, the required probability =  \dfrac{1}{56}

3 0
3 years ago
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