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Juli2301 [7.4K]

3 years ago

10

If two lines are parallel and cut by a transversal, then the corresponding angles are congruent. What is the converse of this po

stulate?

1 answer:

FromTheMoon [43]3 years ago

5 0

If two lines are cut by a transversal and the corresponding angles are congruent, then the two lines are parallel.

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First to answer correctly gets Brainliest<br> Please help!

Temka [501]

Answer:

-9.5-42.1/6=x

-8.6

-9.5+ 6x-8.5

-61.1

Step-by-step explanation:

4 0

3 years ago

First year of high school heh need a little help

Luba_88 [7]

Answer:

(12 + 3x)x

Step-by-step explanation:

(12 + 3)x = 12x + 3x = 15x

(12 + 3x)x = 12x + 3x²

15x

12x + 3x = 15x

They all equal 15x except for (12 + 3x)x

7 0

3 years ago

Which one is it? this is so hard

Stels [109]

Answer:

attached

Step-by-step explanation:

2nd pic from left

5 0

3 years ago

Can someone help me please):

Ray Of Light [21]

Its is a function. mentally connect the dots. run your pencil across the paper parallel to the y-axis. if none of the points have touch the pencil it is a function. another way to check. look at the X value of all the coordinates. if they are all different its a function.

3 0

3 years ago

Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤

dusya [7]

Continuing from the setup in the question linked above (and using the same symbols/variables), we have

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}(\nabla\cdot f)\,\mathrm dV$
$=\displaystyle6\int_{z=0}^{z=c}\int_{y=0}^{y=b}\int_{x=0}^{x=a}(5-x)\,\mathrm dx\,\mathrm dy\,\mathrm dz$
$=\displaystyle6bc\int_0^a(5-x)\,\mathrm dx$
$=6bc\left(5a-\dfrac{a^2}2\right)=3abc(10-a)$

The next part of the question asks to maximize this result - our target function which we'll call $g(a,b,c)=3abc(10-a)$ - subject to $0\le a,b,c\le12$ .

We can see that $g$ is quadratic in $a$ , so let's complete the square.

$g(a,b,c)=-3bc(a^2-10a+25-25)=3bc(25-(a-5)^2)$

Since $b,c$ are non-negative, it stands to reason that the total product will be maximized if $a-5$ vanishes because $25-(a-5)^2$ is a parabola with its vertex (a maximum) at (5, 25). Setting $a=5$ , it's clear that the maximum of $g$ will then be attained when $b,c$ are largest, so the largest flux will be attained at $(a,b,c)=(5,12,12)$ , which gives a flux of 10,800.

7 0

3 years ago