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ohaa [14]
3 years ago
9

Which is the equation of a line that is perpendicular to 8x + 6y = –5?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

The perpendicular line will have an equation of y=3/4x-3/4

To find this, we first have to solve our equation for slope intercept form.

8x + 6y = -5 ----> subtract 8x

6y = -8x + -5 ----> divide by 6

y = -4/3x - 5/6.

So we know the slope of this equation to be -4/3. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of 3/4. Since B is the only option with that slope, we know it to be the correct answer.

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How do you find this answer? M
sweet [91]

Answer:

  m∠QTP = 43°

Step-by-step explanation:

As with any problem, you start by looking at what you are given and the relationships between those things and what you are to find.

There are several relationships you can make use of here:

  • the sum of angles of a triangle is 180°
  • vertical angles are congruent
  • corresponding angles are congruent where a transversal crosses parallel lines

The angles marked (3x°) and (5x-32)° are corresponding angles, so are congruent. That means you can find their measure:

  3x = 5x -32

  0 = 2x -32 . . . . . subtract 3x

  0 = x -16 . . . . . . . divide by 2

  16 = x . . . . . . . . . .add 16

  3x° = 48° . . . . . . find 3x°

Angle TPQ is vertical with 3x°, so also has measure 48°. Angle TQP is vertical with the angle marked 89°, so also has measure 89°.

Now, you know two of the three angles in triangle QTP, so you can find angle QTP:

  m∠QTP + 48° + 89° = 180° . . . sum of angles in a triangle

  m∠QTP = 43° . . . . . . . . . . . . . . subtract 137°

7 0
3 years ago
GUYS PLEASE HELP!!A gardener plans to construct a triangular garden using logs for the edges. She has logs that measure
Korvikt [17]

Answer:

6 meters

Step-by-step explanation:

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The only length where this is true is 6

3+5 is greater than 6

2+6 is greater than 5

5+6 is greater than 3

8 0
3 years ago
Find the gcf of 18a,20a,ang 6a <br>please show work
Hatshy [7]
18a: 3*3*3*2*a

20a: 2*2*5*a

6a: 3*2*a
the greatest common factor is 2a

7 0
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Leona [35]

Answer:

3.6 + 2.3 = 5.9

4.2 + 2.3 = 6.5

3.3 + 2.3 = 5.6

Step-by-step explanation:

4 0
2 years ago
Wyatt owns a new store on the boardwalk by the beach. He plans to sell beach balls in his store. Each one costs him $4.95. He wa
KonstantinChe [14]

Wyatt should charge $9.26 before 8% sales tax  if he does not want customers to pay more than $10.00

They will actually be charged $10 exactly.

9.26*.08= .74

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4 0
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