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3 years ago

The angle measures of a triangle are shown in the

Mathematics

2 answers:

Zepler [3.9K]3 years ago

7 0

Answer:

C. 30

Step-by-step explanation:

2x = 60

x = 30

Also because the right angle of a triangle which is the angle where (2x) is at is equal to 90 degrees always, so since one of the angles is 60 the other will be 30 because the three angles of a triangle add up to 180 degrees:

90 + 60 = 150

180 - 150 = 30

Alenkasestr [34]3 years ago

6 0

b is the correct answer u got it

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Answer:

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3 years ago

According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

$\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ ~ N(0,1)

where, p = 0.20 and n = 100

Let $\hat p$ = proportion of red candies in our sample

So, P( $\hat p$ < 0.20) = P( $\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ < $\frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } }$ ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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3 years ago

A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?

RideAnS [48]

Answer:

2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

(3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

x = (10a +3b +12) -(3a +8) -(5a +b)

= a(10 -3 -5) +b(3 -1) +(12 -8)

= 2a +2b +4

The length of the third side is 2a +2b +4.

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3 years ago

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3 years ago

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Semenov [28]

Answer:

The length of one side of the square is 3.

Step-by-step explanation:

The perimeter of any given shape is all of the sides added together. So, the perimeter of the triangle is 5x + 4x + 3x. Added together, 12x.

The perimeter of the square is (x + 2)*4. Distributed, it's 4x + 8. Since we know they're equal, set it up like this:

12x = 4x + 8

You then find that x = 1. Plug that into one side of the square, x + 2, to get 3.

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3 years ago