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3 years ago

If m∠2 = 23° and m∠3 = 68°, what is m∠1

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Answer:

if this is a triangle it is 89º

Step-by-step explanation:

because all the angles in a triangle add up to 180

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If 2x+z=2y and 2x+2y+z=20 what is the value of y?

mixer [17]

$2x+z=2y\to2x=2y-z\\\\substitute\ to\ 2x+2y+z=20:\\\\(2y-z)+2y+z=20\\2y-z+2y+z=20\\4y=20\ \ \ \ /:4\\y=5\to answer$

3 0

3 years ago

A circle is inscribed in a 40º-60º-80º triangle. The points of

Vladimir [108]

Answer:

A = 50°

B = 60°

C = 70°

Step-by-step explanation:

If we draw a line from each vertex through the center of the circle, we perpendicularly bisect the line joining the adjacent tangent points.

We then know the original angle is halved and the remaining angle of each right triangle is complementary to half the original.

Now we can subtract the known angles along each line of the original side to find the remaining angle

3 0

3 years ago

Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u

soldier1979 [14.2K]

$x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }$

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

$p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}$

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

$\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}$

$\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}$

$\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}$

Therefore:

$\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]$

Recall that at t=25, $p(25)=\dfrac { 5800 } {13} \approx 446.15$

Therefore:

$\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009$

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0

3 years ago

In dales class 100 students prefer football 25 prefer baseball 50 prefer basketball which circle graph shows that data

Thepotemich [5.8K]

Answer: the first one

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Solve the following formula for x y = 7 m x − 8 b

katovenus [111]

Answer: It depends on which variable you're solving for.

Step-by-step explanation:

Solving for b: b=7/8mx + -1/8xy

Solving for m: m=xy+8b

______

Solving for x: x=-8b

___

-7m+y

Solving for y: y=7mx-8b

______

7 0

2 years ago