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inna [77]
1 year ago
10

The sum of the measures of the angles of a triangle is 180°. The middle-sized angle measures 3° more than 2 times the smallest a

ngle. The middle-sized angle measures 109° less than the largest angle. Find the measure of each angle.​
Mathematics
1 answer:
Anit [1.1K]1 year ago
6 0

Answer:

13° , 29° , 138°

Step-by-step explanation:

let x be the smallest angle , then

2x + 3 is the middle angle and

2x + 3 + 109 is the largest angle

summing the 3 angles and equating to 180

x + 2x + 3 + 2x + 3 + 109 = 180 , that is

5x + 115 = 180 ( subtract 115 from 180 )

5x = 65 ( divide both sides by 5

x = 13

2x + 3 = 2(13) + 3 = 26 + 3 = 29

2x + 3 + 109 = 29 + 109 = 138

the 3 angles are 13° , 29° , 138°

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2 years ago
A bag contains 8 red balls and 6 blue
Andreyy89

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

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8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

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Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

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2 years ago
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
harina [27]

Check the picture below.

4 0
1 year ago
Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, an
Anon25 [30]

Answer:

38.75 = 2.25 m + 5

Step-by-step explanation:

It is given that :

Jazmin took a ride share service from airport to home.

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The ride service charged an initial cost for picker Jazmin = $ 5

Cost of the ride service for every mile = $ 2.25 per mile

Let the number of miles = m

Therefore, the equation that represents the situation is :

38.75 = 2.25 m + 5

where, m represents the number of miles.

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2 years ago
A field is to be fertilized at a cost of $0.08 per square yard. The rectangular part of the field is 95 yards long and the diame
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this gives
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6 0
3 years ago
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