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DIA [1.3K]
2 years ago
12

Solve the equation. 5x + (2x + 40) = 180. What are the two angle measures of this supplementary angle?

Mathematics
1 answer:
satela [25.4K]2 years ago
5 0
It is 5 and 6 supplementary
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AWARDING DOUBLE POINTS question in pic, will report anything other than the answer
mash [69]

Answer:

m∠R is 72°

Step-by-step explanation:

In the given figure

∵ ΔPQR ≅ ΔUVW

→ From congruency

∵ m∠P = m∠U

∵ m∠Q = m∠V

∴ m∠R = m∠W

∵ m∠R = (10x - 18)°

∵ m∠W = 8x°

∵ m∠R = m∠W

→ Equate their measures

∴ 10x - 18 = 8x

→ Add 18 to both sides

∵ 10x - 18 + 18 = 8x + 18

∴ 10x = 8x + 18

→ Subtract 8x from both sides

∴ 10x - 8x = 8x - 8x + 18

∴ 2x = 18

→ Divide both sides by 2 to find x

∴ x = 9

→ Substitute the value of x in the m∠R

∵ m∠R = 10(9) - 18

∴ m∠R = 90 - 18

∴ m∠R = 72°

∴ m∠R is 72°

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Answer:

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Step-by-step explanation:


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5 0
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Read 2 more answers
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
vredina [299]

Question:

Consider the sequence of numbers: \frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + \frac{3}{8}  .

Explanation:

A sequence of numbers are

\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Let us first change mixed fraction into improper fraction.

\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}

\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}

\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}

\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding \frac{3}{8} to the previous term.

Hence, the sequence is recursive and can be represented by the function f(n + 1) = f(n) + \frac{3}{8}  .

3 0
2 years ago
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