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Amanda [17]
3 years ago
15

In the figure below, mZ1=(x +48) and m2 2=2xº. Find the angle measures.

Mathematics
1 answer:
NARA [144]3 years ago
6 0
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°
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3 0
3 years ago
In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor,
Alborosie

Considering the situation described, the classification of the elections is given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

<h3>How to find the classification of the elections?</h3>

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

  • Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.
  • Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.
  • Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.
  • From the bullet points above, we can conclude that David = P1, Greg = P2.

Hence the places of each candidate are given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

7 0
2 years ago
4. Point V is somewhere on UW. If UV - 2x - 13, VW--18+ 2x, and UW = 17, then find the length of UV.
Slav-nsk [51]

The length of UV is 11.

Solution:

UV = 2x - 13

VW = -18 + 2x

UW = 17

UV + VW = UW

2x - 13 - 18 + 2x = 17

4x - 31 = 17

Add 31 on both sides.

4x - 31 + 31 = 17 + 31

4x = 48

Divide by 4 on both sides.

$\frac{4x}{4} =\frac{48}{4}

x = 12

UV = 2x - 13

     = 2(12) - 13

     = 24 - 13

UV = 11

The length of UV is 11.

4 0
3 years ago
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