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Kruka [31]
3 years ago
9

The size of the largest angle in a triangle is 3 times the size of the smallest angle.

Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Answer:

Let smallest angle be :x

So, the largest angle will be:3x

And the other angle will be :x+35

According to angle sum property of triangle,

x+3x+x+35=180

5x+35=180

5x=180-35

5x=145

x=(145/5)

Therefore, x=29

So, the smallest angle =x=29

The largest angle=3x=87

And the other angle=x+35=64

prohojiy [21]3 years ago
6 0

Answer:

a = 29

b = 64

c = 87

Step-by-step explanation:

Let the angles be a (smallest), b, and c (largest).

We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.

a + b + c = 180

c = 3a

b = a +35

With some solving and substitution...

a + (a + 35) + c = 180

2a + c = 145

2a + (3a) = 145

5a = 145

a = 29

and therefore,

b = 29 + 35 = 64

c = 3(29) = 87

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2 years ago
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

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1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

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Therefore, an amount of $7,000 was invested at a rate of 14%.

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