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Ostrovityanka [42]

2 years ago

9

What is the missing piece of the information in the paragraph proof?

2 answers:

shutvik [7]2 years ago

7 0

Answer:

The correct option is a.

Step-by-step explanation:

Given: ∠1 and ∠2 are supplementary angles.

Prove: l║m

Proof:

It is given that ∠1 and ∠2 are supplementary angles.

$\angle 1+\angle 2=180^{\circ}$ .... (1)

∠1 and ∠3 are supplementary angles because both angles lie on a straight line.

$\angle 1+\angle 3=180^{\circ}$ .... (2)

Using (1) and (2), we get

$\angle 1+\angle 2=\angle 1+\angle 3$

Subtract angle 1 from both the sides.

$\angle 2=\angle 3$

$\angle 2\cong \angle 3$

Since ∠2 ≅ ∠3 are corresponding angles,

$l\parallel m$

Hence proved.

Therefore the missing statement is $\angle 2=\angle 3$ and option a is correct.

Sophie [7]2 years ago

4 0

B. angle 2 and angle 3 and congruent.

Please press brainliest if this helped you.

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Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².

Liula [17]

Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

$f(x) = x^4$

$g(x)= (1 -2x^5)^6$

$h(x)= (5 - 8x^3)^2$

so that

$y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2$

Recall that the derivative of the product of functions is

$y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)$

so taking the derivatives of the individual functions, we get

$f'(x) = 4x^3$

$g'(x) = 6(1 - 2x^5)^5(-10x^4)$

$h'(x) = 2(5 - 8x^3)(-24x^2)$

So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

or

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)$

3 0

2 years ago

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

$\therefore x =1,000\times 8$

$\therefore x =\$8,000$

Thus, total money earned in December is $8,000.

3 0

2 years ago

suppose that an individual has a body fat percentage of 19.8% and weighs 162 pounds. How many pounds of his weight is made up of

Andrei [34K]

Answer:

32.1 pounds

Step-by-step explanation:

Given data

Percentage of body fat= 19.8%

Weight= 162pounds

Let us find 19.8% of the persons weight

=19.8/100*162

=0.198*162

=32.076

Therefore, 32.1 pounds of the weight is fat

3 0

2 years ago

Which table represents a linear function?

Delvig [45]

Answer:

I would go with the first one.

Step-by-step explanation:

The first one is the only one that increases by the same number. In other words, its slope is constant. A linear function has a constant slope. You can tell that it increases by 1/2 every time.

6 0

3 years ago

1) Is this relation a function? WHY or WHY NOT?

natta225 [31]

Answer:

yes its a function because the x side doesnt repeat itself

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers