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AleksAgata [21]
3 years ago
5

Find the indicated angle measures. Then justify the answer. ​

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
Pretty sure it’s 65 since its alternate interior angles which equal 180
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The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
  • 6 + y = 11
  • y = 11 - 6
  • y = 5

The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
  • 14y = 28
  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
  • x + 4y = 9

<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
Which of the following is equivalent to log34
olasank [31]

hope it helps u...

plz mark as brainliest...

4 0
4 years ago
A survey question revealed that at a particular college 87 percent of students worked at least sometime during their undergradua
Elanso [62]

Answer:

The correct option is A. 198 degrees

Step-by-step explanation:

Consider the provided information.

87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all.

Another question showed that 32 percent of the students worked throughout their undergraduate career.

87 percent  of the students worked at least sometime during the college. Out of them 32% worked throughout the college.

Therefore, the students who worked sometime during their undergraduate career, but not throughout are:

(87-32)% = 55% .

As we know the angle measure in circle  is 360 degrees.

55% of 360° is:

\frac{55}{100}\times360= 198

Hence, the measure of central angle would be 198 degrees

Therefore, the correct option is A. 198 degrees

8 0
4 years ago
Whats 28 11/14 in simplest form
damaskus [11]
Mixed # x denominator + numerator = imp. Fraction

28 x 14 = 392 + 11 = 203

203/14 = 29/2 = 14.5
5 0
3 years ago
Read 2 more answers
-5/3 is a root of f(x) = (3x + 5) (x2 - 6x + 9)2 = 0 True False
Alex_Xolod [135]
False...................
8 0
3 years ago
Read 2 more answers
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