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slamgirl [31]
3 years ago
9

AB = 2x – 17, AC = 14, and BC = x + 1. Find x.

Mathematics
1 answer:
Volgvan3 years ago
3 0

9514 1404 393

Answer:

  • x = 10
  • AB = 3
  • BC = 11

Step-by-step explanation:

If B lies between A and C on a line segment, then ...

  AB +BC = AC

  (2x -17) +(x +1) = 14

  3x = 30 . . . . . . . . . . . . . add 16, collect terms

  x = 10 . . . . . . . . . . . divide by 3

  AB = 2(10)-17 = 3

 BC = 10+1 = 11

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.
Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

\frac{sinA}{a}=\frac{sinB}{b}

\frac{sin30}{4}=\frac{sinB}{6}

sinB=0.75

angle B = 48.6

Another angle will be

angle B' = 180-48.6 = 131.4

considering angle B, angle C = 180 - (48.6+30)=101.4

considering angle B', angle C' = 180-(131.4+30)=18.6

\frac{sinA}{a}=\frac{sinC}{c}

\frac{sin30}{4}=\frac{sin101.4}{c}

c = 7.84

Similarly, finding c'

\frac{sinA}{a}=\frac{sinC'}{c'}

\frac{sin30}{4}=\frac{sin18.6}{c'}

c'=2.55

Hence two triangles are possible with below details:  :   Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0
3 years ago
Suppose c was a total membership cost for m the two equations that model c are c=30m+50 an c=20m+100
Maksim231197 [3]

Answer:

5 months

Step-by-step explanation:

Given

c = 30m + 50

c = 20m + 100

Required [Missing from the question]

At what month will the cost be equal

To do this, we equate both expressions

c = c

This gives:

30m + 50 = 20m + 100

Collect like terms

30m - 20m = 100 - 50

10m = 50\\

Solve for m

m = \frac{50}{10}

m = 5

8 0
3 years ago
How many inches are in 15 feet ?
Kay [80]
180................................................................................
6 0
3 years ago
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Use the information provided to write the equation of the circle Center: (10,-9) Point on Circle: (12,-13)
Zielflug [23.3K]

Answer:

(x - 10)² + (y + 9)² = 20

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre to a point on the circle

To calculate r use the distance formula

r = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)

r = \sqrt{(12-10)^2+(-13+9)^2}

  = \sqrt{4+16} = \sqrt{20}, hence

(x - 10)² + (y - (- 9))² = (\sqrt{20})², that is

(x - 10)² + (y + 9)² = 20

7 0
4 years ago
Write an expression for "the product of 6 and q."<br> Please answer and not steal my points
AnnZ [28]

Answer:

6q

Step-by-step explanation:

5 0
3 years ago
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