13. Complete the paragraph proof.
Given: 21 and 22 are supplementary, and 22 and 23 are supplementary.
Prove: 21223
By definition of supplementary angles, m_1 = m22 = (a) and m22 - mz3 = (6)
Then, m_1 - m42 = m_2 + m23 by the
(c). Subtract mZ2 from each side. You
get m2l= (d), or 21 (e)

Answer:

[tex]\huge\boxed{ \sf x^4+28x^3+294x^2+1372x+2401}[/tex]

explanation:

[tex]\sf (x+7)^4[/tex]

[tex]\hookrightarrow \sf (x+7) (x+7) (x+7) (x+7)[/tex]

[tex]\hookrightarrow \sf (x^2 +14x+49)(x+7)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +14x^2+49x+7x^2+98x+343)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +21x^2 +147x +343)(x+7)[/tex]

[tex]\hookrightarrow \sf x^4 + 21 x^3 + 147x^2 + 343x + 7x^3 + 147x^2 + 1029x+ 2401[/tex]

[tex]\hookrightarrow \sf x^4+28x^3+294x^2+1372x+2401[/tex]

note: just keep multiplying and simplifying with patience.

[tex](x + 7)^{4} [/tex]

Write 4 as a sum

[tex] {(x + 7)}^{2 + 2} [/tex]

Use [tex] \boxed{ \pmb{ {a}^{m + n} = {a}^{m} \times {a}^{n} }}[/tex] to expand the expression

[tex] {(x + 7)}^{2} \times {(x + 7)}^{2} [/tex]

Use [tex] \boxed{ \pmb{(a + b)^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex] to expand the expression

[tex] ( {x}^{2} + 14x + 49) \times ( {x}^{2} + 14x + 49)[/tex]

Multiply the parentheses

[tex] {x}^{4} + 14 {x}^{3} + {49x}^{2} + 14 {x}^{3} + {196x}^{2} + 686x + {49x}^{2} + 686x + 2401[/tex]

Collect like terms

[tex] {x}^{4} + {28x}^{3} + {294x}^{2} + 1372x + 2401[/tex]

Answer:

13.6125 kg

Step-by-step explanation:

luggage weight = 9/16 of weight limit

=9/16×24.2 kg

=13.6125 kg

[tex]\tt \dfrac{9}{16}\times 24.2=13.6125=13.61~kg[/tex]

Answer:

b

Step-by-step explanation:

We know we are trying to find an inverse function and the normal function of the first part would be (x+7)²-5, so we can eliminate all equations with an equation starting with  (x+7)²-5. So, a and f are out of the scope.

The domain of the inverse function will be the range of the normal function.

So, the range of the first part of the inverse function is -5 < x < -3 which is the domain of the normal function. Now, we can eliminate c, d, and e.

Our answer must be b.

=====================================================

Explanation:

The endpoint (-7,-5) reflects over the line y = x when forming the inverse. It will reflect to (-5,-7). The x and y coordinates swap.

The new point (-5,-7) forms the vertex of a piece of a parabola. Since it's the vertex, we have something of the form y = a(x+5)^2 - 7 which matches with choices B and D.

However, we can rule out choice D because the interval is not x < -3. Try out a point like x = -100 and it will make x < -3 true, but -100 is definitely not part of the reflected parabola formed. Instead, we must have -5 < x < -3 as the domain of the inverse.

Notice how the range of the square root portion on the left is -5 < y < -3. The range of the original function forms the domain of the inverse, and vice versa. Effectively, all we're doing is replacing y with x when going from -5 < y < -3 to -5 < x < -3.

--------------

Also another reason we can rule out choice D is to see that something like x = -2.5 will make log(x+2) to result in a non-real number. This is due to the fact that the domain of log(x) is x > 0. So the domain of log(x+2) is x > -2.

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation

Answer:

B.

Step-by-step explanation:

2 out of the 6 squares are shaded. 1/3 times 2 = 2/6

Hope that helps!

Answer:

[B]

Step-by-step explanation:

We can cross multiply to see which is equal

[A] 1 out of 6 is shaded [1/6]

1/6 < 1/3

[B] 2  out of 6 is shaded [2/6]

2/6 = 1/3

[C] 3 out of 6 is shaded [3/6]

3/6 > 1/3

[D] 4 out of 6 is shaded [4/6]

4/6 > 1/3

As you can see [B] is equal to 1/3

Thus, [B} is the answer.

~Learn with Lenvy~

Common ratio is 4

means each time the sequence becomes 4times more

Check B

Check D

Yes, Option B and D are correct

Answer:

Option C(0.07) is the correct answer.

Answer:

n = 5

Step-by-step explanation:

it is stated that the two triangles are similar so we can use the similarity ratio to find the value of n:

RQ/BA = QR/AC

n/2 = 10/4 cross multiply expressions

4n = 20 divide both sides by 4

n = 5

Step-by-step explanation:

I assume you meant to type f(x) = x³

Graph the function into desmos (or calculator if you have a graphing calculator)

Answer:

Opposite sides of the parallelogram are equal :

→ BC = AD

→ 5x - 8 = 2x + 7

→ 5x - 2x = 7 + 8

→ 3x = 15

→ x = 15/3

→ x = 5

Therefore, the value of x is 5.

Answer:

volume= 1040

surface area=696

Step-by-step explanation:

1/2x 13x10x16

=1040#

(1/2x12x10)2

=120

(16x13)2

=416

16x10

=160

120+426+160

=696#

Answer:

The answer is A

Step-by-step explanation:

Point F just has to go right 1 and down 5 to get to the point (-1,0)

Hope this helped

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Answer:

  (5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

 [tex]\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}[/tex]

Answer:

No, it's not.

Step-by-step explanation:

2b + y = 15 is not an expression because it's an equation containing an equal sign. An expression cannot include inequality signs or equal signs.

Answer:

Step-by-step explanation you do the inverse which is subtraction and you get y

2-2=0 15-2=13 y=13

Answer:

c 9+4= 13 and -7+-3 is -10 and 15 is 15 XD

Answer:

b[tex] {}^{6} [/tex]

Step by Step Solution

STEP 1:

1.1 b[tex] {}^{3} [/tex]raised to the 2 nd power = b([tex] {}^{( 3 * 2 )} [/tex]= b[tex] {}^{6} [/tex]

Final result :

b[tex] {}^{6} [/tex]

The option (D) some substances must dissolve into water to move into and out of a cell​ is not a result of water being a polar molecule

The water molecules contains

The oxygen atoms have a slight negative charge, while the hydrogen atoms have a slight positive charge.

Because of the opposite charges in water (i.e. negative charge in oxygen and positive charge in hydrogen), the water molecules stick and stay together.

Hence. option (D) is not a result of water being a polar molecule

Read more about polar molecules at:

https://brainly.com/question/545359

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

Given :

⠀

To Find :

⠀

Solution :

Here,

So, from l² = h² + r², we have :

⠀

⠀

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

⠀

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

⠀

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]

Answer:

24 sides

Step-by-step explanation:

Answer:

All you have to do multiply the length by width and you'll find your answer

Step-by-step explanation:

Really hope it help

Answer:

13. i dint understand

14. 9

15. (D)

16. (C)

17. I guess (A)

Step-by-step explanation:

Hope it helps!!!

Both fractions have the same denominator so you just need to subtract the numerators:

14-4 = 10

They had 10/15 left.

This can be simplified to be 2/3

Answer: they had 2/3 pounds left.

Answer:

2/3 pounds left

Step-by-step explanation:

10/15 pounds left because

14/15 - 4/15 = 10/15

10/15 = 2/5

A brainliest would be appreciated if this helped you! :)

- profparis

Answer:

24 cm

Step-by-step explanation:

area of triangle = (b x h)/2

36 / 3 = 12

12 x 2 = 24 (multiplied because we do the inverse)

to check:

24 x 3 = 72

72 / 2 = 36

If you need further help, let me know!

- profparis

we hat is the measure of ABC Is15

Answer:

-5x4=-20

Step-by-step explanation:

and also

-5 + 4 = -1

so -5 and 4

Answer:

y = 2x - 7

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Divide both sides by -1.

The percentage of Alberto's income that is used to pay for his rent and groceries is 40%.

Amount for rent = $896

Amount for groceries = $384

Total amount = $1280

Therefore, the percentage of Alberto's income that is used to pay for his rent and groceries will be:

= 1280/3200 × 100

= 0.4 × 100

= 40%

Learn more about percentages on:

https://brainly.com/question/24304697

Answer

40% of Alberto's income is used to pay rent and goceries.

Step-by-step explanation:

1. Add his rent and goceries....

2. =$1280

3.Divide: 1280/3200

4.=0.4

5. 0.4x100

6. =40%

She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.

The area of the circle is given by

[tex]\rm Area = \dfrac{\pi}{4}d^2[/tex]

We have d = 7 ft, then the area of the circle will be

[tex]\rm Area = \dfrac{3.14}{4}*7^2\\\\Area = 38.5 \ ft^2[/tex]

More about the circle link is given below.

https://brainly.com/question/11833983