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photoshop1234 [79]
3 years ago
6

In ΔPQR, what is the m∠Q?.

Mathematics
2 answers:
charle [14.2K]3 years ago
7 0

The sum of the 3 inside angles of a triangle needs to equal 180:

11x-5 + 6x + 5 + c = 180

Combine like terms:

18x = 180

Divide both sides by 18:

X = 10

Solve for Q:

11x -5= 11(10) -5 = 110-5 = 105 degrees

Savatey [412]3 years ago
5 0

Answer:

105°

Step-by-step explanation:

Total angle = 180

x + (11x - 5) + (6x + 5) = 180

18x = 180

x = 10

m∠Q = 11(10) - 5 = 105

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3 years ago
ANSWER THIS AND ILL LOVE YOU <br><br> find angles FAB and BAC
jeyben [28]

Answer:

m<FAB = 75°

m<BAC = 105°

Step-by-step explanation:

First, find the value of x.

(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)

Solve for x

13x - 3 = 3x + 2 + 55

13x - 3 = 3x + 57

Collect like terms

13x - 3x = 57 + 3

10x = 60

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x = 6

✔️m<FAB = 13x - 3

Plug in the value of x

m<FAB = 13(6) - 3 = 78 - 3

m<FAB = 75°

✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)

m<BAC = 180 - 75 (substitution)

m<BAC = 105°

4 0
3 years ago
Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 ve
dezoksy [38]

Answer:

Given:

v = 150d

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Step-by-step explanation:

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3 years ago
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