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3 years ago

Find the value of x. The angle measures of a right triangle are 30°2x°3x°

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

4 0

Answer:

x=30

Step-by-step explanation:

all interior angles in a triangle must equal 180 degrees

2x+30+90=180

2x+120=180

2x=60

x=30

you can check by substituting 30:

2(30)+30+90

60+30+90=180

another way to do this:

3x is an exterior angle

however it is a supplementary one as well

that means tht

3x+90=180

3x=90

x=30

you get the same answer either way

HOPE THIS HELPS!

Radda [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Exterior angle equals sum of opposite interior angles

3x = 2x + 30

3x - 2x = 30

x = 30

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3 years ago

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2 years ago

Anthony received $150 for his birthday this year. This was $10 less than half the amount

vladimir2022 [97]

Answer:

320

Step-by-step explanation:

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3 years ago

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ki77a [65]

Answer:

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3 years ago

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A number consists of two digits. The number is 2 more than 8 times the sum of the digits, and if 54 is subtracted from the numbe

Gennadij [26K]

Let the units digit = x

Let the 10s digit = y

Equations

10y + x - 2 = 8 * (x + y) (1)

10y + x - 54 = 10x + y (2)

Equation 1

10y + x - 2 = 8 * (x + y) Remove the brackets on the right

10y + x - 2 = 8x + 8y Subtract 8y from both sides

10y - 8y + x - 2 = 8x Subtract 8x from both sides

2y + x - 8x - 2 = 0 Combine

2y - 7x - 2 = 0 (3)

Equation 2

10y + x - 54 = 10x + y Subtract 10x

10y - 9x - 54 = y Subtract y from both sides.

9y - 9x - 54 = 0 Divide by 9

y - x - 6 = 0 Multiply by 2

2y - 2x - 12 = 0 (4)

Solution

Subtract (3) - (4)

2y - 7x - 2 = 0

2y - 2x - 12 = 0

- 5x + 10 = 0 Subtract 10 from both sides.

- 5x = - 10 Divide by - 5

x = 2

Use (4) to find y

2y - 2x - 12 = 0 Let x =2

2y - 2(2) - 12 = 0 Remove the brackets

2y - 4 - 12 = 0 Combine

2y - 16 = 0 Add 16 to both sides.

2y = 16 Divide by 2

y = 8

Answer 82

I'll leave the check to you, but the answer of 82 is correct.

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3 years ago

Find the value of x. The angle measures of a right triangle are 30°2x°3x°​

Find the value of x. The angle measures of a right triangle are 30°2x°3x°