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dimaraw [331]
3 years ago
5

\A and \B are supplementary angles. If m\A= (3x – 23) and m

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

2 supplementary angles when added together need to equal 180 degrees.

Add:

3x-23 + 2x-12 = 180

Simplify:

5x -35 = 180

Add 35 to both sides:

5x = 215

Divide both sides by 5:

X = 43

Now replace x with 43 in the equation for angle b:

2(43) -12 = 86-12 = 74 degrees

Angle B = 74 degrees

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dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0
2 years ago
5(2x + 3)2 when x = 3.
Anni [7]

Answer:

Step-by-step explanation:

5 x 2=10 x 3 = 30

6 0
2 years ago
Alex spent $23 on a bus ride. The bus charges $0.35 a mile plus $2 a trip. How
Svetlanka [38]
67.7 cus 23 divided by .35 is 65.7+2 =67.7
7 0
2 years ago
the ratio of apples to oranges in a fruit basket is 12:4 if there are 7 oranges in the fruit basket then how many apples and ora
Ugo [173]
Just simple proportions:

12(apples)          x(apples)
--------------   =   --------------
4(oranges)        7(oranges)

12*7 = 84
84/4 = 21

There are 21 apples + 7 oranges = 28 apples and oranges!
7 0
2 years ago
The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
Gwar [14]

Answer:

C

Step-by-step explanation:

The range is the grade. Domain is the amount of hours that you study for.

8 0
2 years ago
Read 2 more answers
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