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3 years ago

One angle in a triangle is half the largest angle, but three times the smallest. find all three angles.

1 answer:

7 0

X = smallest angle, y = middle angle, z = largest angle

x + y + z = 180...interior angles of a triangle add up to 180 degrees
y = 1/2z.....z = 2y
y = 3x.......1/3y = x

1/3y + y + 2y = 180....multiply everything by 3
y + 3y + 6y = 540
10y = 540
y = 540/10
y = 54 <== the middle angle

z = 2y
z = 2(54)
z = 108 <=== largest angle

1/3y = x
1/3(54) = x
54/3 = x
18 = x <=== smallest angle

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Step-by-step explanation:

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3 years ago

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3 years ago

A machinery worth rupees 10,500 depreciated by 5% find its value after one year

s2008m [1.1K]

Answer:

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3 years ago

A jar contains five balls, numbered from one to five. You randomly pick a ball. What is the probability you pick a two or three?

Lorico [155]

Answer:

2/5

Step-by-step explanation:

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3 years ago

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can someone help me with this question I tried all apps and it gives me the wrong answer, the due date is today plus its half of

ikadub [295]

Answer:

$4\frac{1}{12}$ miles.

Step-by-step explanation:

The goal of the family is to hike $11 \frac{2}{3}$ miles in total. Converting this to an improper fraction, we need a total of $\frac{35}{3}$ miles.

On Monday the family completed $2 \frac{1}{12}$ miles, or $\frac{25}{12}$ miles.

On Tuesday the family completed $2 \frac{1}{3}$ miles, or $\frac{7}{3}$ miles.

On Wednesday the family completed $3 \frac{1}{6}$ miles, or $\frac{19}{6}$ miles.

Next, we can add the total amount of hiking the family has completed from Monday-Wednesday.

$distance= \frac{25}{12} + \frac{7}{3} + \frac{19}{6}$

In order to add these values, we need to convert all of the fractions so that they have the same denominator. The least common multiple (LCM) of 12, 3, and 6 is 12, so the fractions can all be converted into having a denominator of 12.

Monday's distance $\frac{25}{12}$ already has a denominator of 12.

Tuesday's distance is $\frac{7 * 4}{3 * 4} = \frac{28}{12}$ .

Wednesday's distance is $\frac{19 * 2}{6 * 2} = \frac{38}{12}$ .

Convert the total distance goal to have a denominator of 12 as well. $\frac{35 * 4}{3 * 4} = \frac{140}{12}$ .

Sum the total distance the family has walked on Monday-Wednesday. $\frac{25}{12} + \frac{28}{12} + \frac{38}{12} = \frac{91}{12}$ .

Subtract this value from the total hiking distance. $\frac{140}{12} - \frac{91}{12} = \frac{49}{12}$ . The family needs to walk $\frac{49}{12}$ miles, or $4 \frac{1}{12}$ miles on Thursday to complete their goal.

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3 years ago

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