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2 years ago

2 angles of a triangle are the same size. the 3rd is 3 times as large as the 1st

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer:

36°, 36° and 108°

Step-by-step explanation:

let the equal angles be x then the third angle = 3x

The sum of the 3 angles in a triangle = 180°, thus

x + x + 3x = 180, that is

5x = 180 ( divide both sides by 5 )

x = 36

and 3x = 3 × 36 = 108

The 3 angles are 36°, 36° and 108°

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2 years ago

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Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

Add 15 tuna sandwiches

2x : 3x+15

Now the ratio is 1:3

egg sandwiches : tuna sandwiches

1 : 3

Multiply by y because we do not know how many sandwiches, just the ratio

y : 3y

Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

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3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

2*5 3*5

10 15

He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches

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2 years ago

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san4es73 [151]

Answer:

1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.

b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.

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4. 10r + 4 = 8 → 10r = 4 → r = 0.4

5. The variable r represents the rate she must increase her texting speed by per month.

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2 years ago

Quadrilateral DUCKDUCKD, U, C, K is inscribed in circle OOO. What is the measure of \angle K∠Kangle, K?

N76 [4]

Answer:

Measure of ∠K=180-∠U

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Step-by-step explanation:

Given:

DUCK quadrilateral inscribed in circle with center O

To Find:

Measure angle K

Solution:

Here the Quadrilateral in inscribed in a circle with center O named as DUCK

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We know that the angle of Quadrilateral inscribed in a circle are supplemenatry angles

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Or The ∠K=1/2*m∠arc(DUC).

Hence depending on the given value for arc measure or angle of quadrilateral we calculate the angle K

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larisa [96]

Answer:

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Step-by-step explanation:

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-10*2=c

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2 years ago

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2 angles of a triangle are the same size. the 3rd is 3 times as large as the 1st​

2 angles of a triangle are the same size. the 3rd is 3 times as large as the 1st