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vladimir2022 [97]

3 years ago

5

Do the opposite angles in a parallelogram have the same measure please explain why

1 answer:

asambeis [7]3 years ago

4 0

Yes, opposite angles in a parallelogram always have equal measures. This is a defined property of parallelograms and an easy way to check if the shape is one. Since a parallelogram has 4 angles and the 2 sets of sides are parallel, any 2 adjacent angles have a sum of 180 degrees. Using this, the 2 adjacent angles to any one angle must be opposite to each other and therefore equal.

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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is, $h=-8t^2+40t$ , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

$\frac{dh}{dt} =0$

Now the differentiating the equation with respect to time t, we get

$\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)$

$\frac{dh}{dt}=-16t+40$

For maximum height, $\frac{dh}{dt} =0$

So, $-16t+40=0$

$\Rightarrow 16t=40$

$\Rightarrow t=\frac{40}{16}$

$\Rightarrrow t = 2.5$

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0

3 years ago

Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.

soldier1979 [14.2K]

Answer:

84

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = $\frac{f(x_2)-f(x_1)}{x_2-x_1}$

(255 - 3) / (4 - 1) = 252 / 3 = 84

3 0

3 years ago

A ____ compares two numbers by division?

barxatty [35]

Usually a ratio will compare two numbers by division

4 0

3 years ago

Chose one value for x and substitute the value in the equation to get your answer pick x=15 or x=12 or x=10 2x+13

lora16 [44]

If I pick 10, then 2(10)+13=33
If I pick 15, then 2(15)+13=43
If I pick 12, then 2(12)+13=37

8 0

3 years ago

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What is the slope of the line <br> -3x+5y=2x+3y

GaryK [48]

X=2/5y
hope this helps!

8 0

3 years ago

Read 2 more answers