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emmasim [6.3K]
3 years ago
15

<RQT is a straight angle. What are m<RQS and m<TQS​

Mathematics
1 answer:
never [62]3 years ago
8 0

Answers:

  • x = 11
  • angle RQS = 106 degrees
  • angle SQT = 74 degrees

===========================================================

Explanation:

Straight angles are always 180 degrees in measure.

The two smaller angles shown add up to 180

(angle RQS) + (angle SQT) = angle RQT

(9x+7) + (6x+8) = 180

(9x+6x) + (7+8) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

From here, we then know that,

  • angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
  • angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees

Note how the two results add to 106+74 = 180 to help confirm the answers.

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4 years ago
Please do all problems with work on paper thank you​
damaskus [11]

a. \frac{11}{12}

b. \frac{39}{20}

c. \frac{20}{21}

Step-by-step explanation:

Step 1; First, we convert the given fractions into improper ones. To do this, we multiply the whole number with the denominator of the fraction and add with it the same fraction's numerator whereas the denominator remains unchanged. To convert the fraction

3\frac{1}{4} = (3 × 4) + 1 / 4 = \frac{13}{4},

2\frac{1}{3} = (2 × 3) + 1 / 3 = \frac{7}{3},

6\frac{1}{5} = (6 × 5) + 1 / 5 = \frac{31}{5},

4\frac{1}{4} = (4 × 4) + 1 / 4 = \frac{17}{4},

5\frac{2}{7} = (5 × 7) + 2 / 7 = \frac{37}{7},

4\frac{1}{3} = (4 × 3) + 1 / 3 = \frac{13}{3}.

Step 2; Now we subtract, using LCM to arrive at the answer

3\frac{1}{4} - 2\frac{1}{3} = \frac{13}{4} - \frac{7}{3} = \frac{39-28}{12} = \frac{11}{12},

6\frac{1}{5} - 4\frac{1}{4} = \frac{31}{5} - \frac{17}{4} = \frac{124-85}{20} = \frac{39}{20},

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7 0
3 years ago
M&lt;2 = 4x - 26,<br> m&lt;3 = 3x + 4
mestny [16]

Answer:

m<2 = 4x - 26 = 4(30) - 26 = 94 degrees

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Step-by-step explanation:

Congruent angles are equal, so m<2 = m<3

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8 0
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