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Thepotemich [5.8K]
2 years ago
12

Find the value of x by filling the blanks in the provided statement-reason solutions. a Statement Reason 1. m∠A +m∠B +m∠C = ____

___ 2. 28°+x−4° + ______ = 180° 3. x = _______ 1. ______________ 2. Substitution 3. Algebra Answer: Statement Reason 1. m∠A + m∠B + m∠C = 2. 28° + x − 4° + = 180° Substitution 3. x = Algebra
Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

1.) m∠A +m∠B +m∠C = (sum of angles in a triangle △)

2.) 24° + x + m∠C = 180°

3.) x = 156° - m∠C

step-by-step explanation:

1. m∠A +m∠B +m∠C = (sum of angles in a triangle △)

2. 28°+x−4° + ______ = 180°

24° + x + m∠C = 180°

3) x = 180° - 24° - m∠C

x = 156° - m∠C

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Answer:

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3 years ago
If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?
Darina [25.2K]

Answer:

n=30

Step-by-step explanation:

Given expression:

3^1\times 9^2\times 27^3\times 81^4

The given expression needs to be simplified to the form 3^n

Applying the exponents rule to simplify.

3^1\times 9^2\times 27^3\times 81^4

Writing all numbers as product of 3.

⇒ 3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4

Writing each in exponents form.

⇒ 3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4

Using power of a power rule [\ (a^x)^y=a^{xy}\ ]

⇒ 3^1\times 3^4\times 3^9\times 3^16

Using multiplication rule of exponents [\ a^x\times a^y=a^{x+y}\ ]

⇒ 3^{1+4+9+16}

⇒ 3^{30}

So we have 3^n=3^{30}

∴ n=30

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3 years ago
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Answer:

2x^2 +11

Step-by-step explanation:

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Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

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x=1.3

Step-by-step explanation:

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