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vodka [1.7K]
3 years ago
5

One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply.

45, 65, 30,15.
Mathematics
2 answers:
bonufazy [111]3 years ago
7 0

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

bezimeni [28]3 years ago
5 0

The answer is 45°.

Step-by-step explanation:

Hey there!

Since it is an isoceles triangle two angles must be equal.

Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.

Then;

x+x+90° = 180° { Sum of interior angles of a triangle is 180°}

or, 2x + 90° = 180°

or, 2x= 180° - 90°

or, 2x = 90°

or, X= 90°/2

or, X=45°.

Therefore, the other angles are 45° and 45°.

<em>Hope</em><em> </em><em>it </em><em>helps</em><em>!</em>

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Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

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Now, we are given n = 10

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P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

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B) By normal approximation

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\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

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P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

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