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jonny [76]
3 years ago
8

5. What is BC? 4x - 8 2x + 12 3x + 4

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

BC = 34

Step-by-step explanation:

Given that ∠B = ∠C then the triangle is isosceles.

Thus AB and AC are congruent, that is

4x - 8 = 2x + 12 ( subtract 2x from both sides )

2x - 8 = 12 ( add 8 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Hence

BC = 3x + 4 = (3 × 10) + 4 = 30 + 4 = 34

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3(x-4)= 2(x + 5) <br> Find the number
ohaa [14]

Answer:

x=22

Step-by-step explanation:

Reorder the terms:

3(-4 + x) = 2(x + 5)

(-4 * 3 + x * 3) = 2(x + 5)

(-12 + 3x) = 2(x + 5)

Reorder the terms:

-12 + 3x = 2(5 + x)

-12 + 3x = (5 * 2 + x * 2)

-12 + 3x = (10 + 2x)

Solving

-12 + 3x = 10 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-12 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-12 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0

-12 + 1x = 10 + 0

-12 + 1x = 10

Add '12' to each side of the equation.

-12 + 12 + 1x = 10 + 12

Combine like terms: -12 + 12 = 0

0 + 1x = 10 + 12

1x = 10 + 12

Combine like terms: 10 + 12 = 22

1x = 22

Divide each side by '1'.

x = 22

Simplifying

x = 22

5 0
3 years ago
Find y so (-2, y) is a solution to 3x+5y=8
Yuri [45]

Answer:

y=14/5 or 2.8

Step-by-step explanation:

3(-2)+5y=8

-6+5y=8

+6      +6

5y=14

/5y /5y

y=14/5

4 0
3 years ago
Fill in the blank so that the ordered pair is a solution of y=8x+3.
exis [7]

Answer:

11

Step-by-step explanation:

8 plus 3 i dunno know if it is forsure but yeah.

6 0
4 years ago
What is the y-intercept of the graph below? A. (0, 4) B. (0, -2) C. (0,2) D. (0,4)
TEA [102]

Answer:

it's C (0,2)

Step-by-step explanation:

7 0
4 years ago
a car travels at 54 km/h for first 20seconds , 36km/h for next 30seconds and finally 18km/h for next 10 seconds find the averade
Sladkaya [172]

Answer:

39 km/h

Step-by-step explanation:

Velocity is the rate of change of distance in a given direction with time. Mathematically,

Velocity = Displacement/time

Like speed, velocity is measured in Km/h or m/s.

Given that the car travels at 54 km/h for first 20seconds,

since 60 seconds = 1 minute and

60 minutes  = 1 h,

20 seconds

= 20/(60 ×60) h

= 1/180 h

In the same vein,

30 seconds

= 30 / (60 ×60) h

= 1/120 h

10 seconds

= 10/(60 ×60) h

= 1/360 h

Hence  if the car travels 54 km/h for 10 seconds, the distance covered

= 54 × 1/180

= 3/10 Km

If the car travels 36km/h for next 30seconds, the distance covered

= 36 × 1/120

= 3/10 Km

If the car travels 18km/h for next 10 seconds, the distance covered

= 18 × 1/360

= 1/20 km

Total distance = 3/10 Km + 3/10 Km + 1/20 Km

= 13/20 Km

Total time spent = 20 + 30 + 10

= 60 seconds

= 1/60 h

Average velocity = 13/20 km/ 1/60 h

= 39 Km/h

7 0
4 years ago
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