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notsponge [240]
3 years ago
14

If mAD=85 degrees and mBC=31 degrees find the value

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0
Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation:  122 = 13x - 21

Solve this, to find the x = 11.
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A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine tho
Elodia [21]
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...

... w = 75 +2d

We want to find d when w > 125.

... 75 +2d > 125 . . . . . substitute the above expression for w

... 2d > 50 . . . . . . . . . subtract 75

... d > 25 . . . . . . . . . . . divide by 2

The animal will weigh more than 125 pounds when it is more than 25 days old.

4 0
3 years ago
Find the midpoint M of the line segment joining the points A= (-7, -6) and B= (1,8).
Marrrta [24]

Step-by-step explanation:

Use midpoint formula,

x = -6/2 = -3 , y=2/2 =1

(x,y)=(-3,1)

so , the coordinates of mid point of line segment is M (-3,1)

8 0
3 years ago
Help me please show ur work
Lisa [10]
Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24

The length is 24 ft 
5 0
3 years ago
If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

8 0
3 years ago
A block of copper weighs 2160g and has a volume of 240cm cubed. what is the density of the copper?
mrs_skeptik [129]
(Mass) 2160g (Divided by) / (Volume) 240cm (Equals) = 9 (Density)

3 0
3 years ago
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