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bagirrra123 [75]
4 years ago
7

Given: angle 1 congruent angle2 prove: p||q Please hurry

Mathematics
1 answer:
Leviafan [203]4 years ago
5 0

Answer:

converse of alternate exterior angle theorem

Step-by-step explanation:

um im not sure if i should explain the full proof but

You might be interested in
PLEASE HELP! Since AB=1 and 1=BC, BC=AB by which property?
erastovalidia [21]

Substitution.

Here is an example.

Let x be equal to 3 and y equal to 3.

x=3, y=3

From this we can conclude that the values of both x and y are equal to three therefore x and y have the same value and are equal.

x\wedge y=3\Longrightarrow x=y

Here in your case we have:

AB=1, BC=1 \\AB\wedge BC=1\Longrightarrow AB=BC

Hope this helps.

r3t40

7 0
4 years ago
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
2 years ago
X+(x+2)+(x+4)+(x+6)=4x+12=212
Mrac [35]

(x+(x+2)+(x+4)+(x+6))=4x+12=212

x+x+x+x(2+4+6)=4x+12=212

4x (2+4+6)=4x+12=212

4x(6+6)=4x+12=212

12+4x=4x+12=212

<u>-12            -12   -12</u>

4x=4x=200

<u>/4  /4  /4</u>

<u>x=x=50</u>

<u>x=50</u>

4 0
3 years ago
Find the area of this shape please quick to.
erica [24]
First do (30×20)/2 + 20×25 + 35×42 + (42×25)/2
it should give you a total of 2795 cm
7 0
3 years ago
A contractor is installing tiles on a floor that measures 132 x 216 inches. If each tile measures 4 x 4 inches, how many tiles w
Kay [80]

Answer:

1782 tiles

Step-by-step explanation:

Given that:

Dimension fo floor = 132 x 216 inches

Area of floor = 132 * 216 = 28512 in²

Dimension of tiles = 4 * 4 inches

Area of tiles = 4 * 4 = 16 in²

Number of tiles needed to cover floor :

Area of floor / Area of tiles

28512 in² / 16 in²

= 1782 tiles

5 0
3 years ago
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