Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?

Answer:

13.2 ft

Step-by-step explanation:

We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).

In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.

We have:

sin(32°) = opposite / hypotenuse = x / 25

x = 25 * sin(32°) ≈ 13.2 ft

The answer is thus 13.2 ft.

~ an aesthetics lover

Answer:

9 terms

Step-by-step explanation:

Given:  

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

[tex]\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}[/tex]

Where n = 8 and r = 0,1....8

When r = 0

[tex]\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1[/tex]

When r = 1

[tex]\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8[/tex]

When r = 2

[tex]\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8[/tex]

When r = 3

[tex]\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56[/tex]

When r = 4

[tex]\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70[/tex]

When r = 5

[tex]\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56[/tex]

When r = 6

[tex]\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28[/tex]

When r = 7

[tex]\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8[/tex]

When r = 8

[tex]\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1[/tex]

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

Answer:

Step-by-step explanation:

Use F.O.I.L

F - First

O- Outside

I- Inside

L- Last

First multiply the ds from both to get [tex]d^{2}[/tex], next multiply the first d and the -4 and get -4d, then the 8 and the second d = 8d, and finally the 8 and -4 to get -32

you get [tex]d^{2}[/tex]-4d + 8d - 32

Answer:

[tex]\boxed{\sf No}[/tex]

Step-by-step explanation:

[tex](q-r)^2[/tex]

Expand brackets.

[tex](q-r)(q-r)[/tex]

[tex]q^2 -rq -rq+r^2[/tex]

Combine like terms.

[tex]q^2 -2rq+r^2[/tex]

The expression is not equal to [tex]q^2 -r^2[/tex].

Answer:

Yes, they are.

Step-by-step explanation:

[tex](q - r) {}^{2} =( q) {}^{2} - (r) {}^{2} = q {}^{2} - r {}^{2} [/tex]

[tex](q - r) {}^{2} = q {}^{2} - r {}^{2} [/tex]

Hope this helps ;) ❤❤❤

Answer:

A

Step-by-step explanation:

What as |x|= infinity, then p(x)=2 mean is that,

as x get bigger on either side of +ve or -ve, you get really close to 2.

Graph A could be p(x).

The answer is option A.

A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.

A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).

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Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

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Answer:  $26.70 per hour

Step-by-step explanation:

Regular hours consists of 8 hrs

Overtime hours is 12 - 8 = 4 hours

Regular pay at "x" per hour = 5(8)(x) = 40x

Overtime pay at "2x" per hour = 5(4)(2x) = 40x

                                                  Total pay = 80x

Total Pay = $2136 = 80x

                     [tex]\dfrac{\$2136}{80}=x[/tex]

                   $26.70 = x

Answer:

$80

Step-by-step explanation: $80.00*.0275= 2.20  80.-2.20=$77.80

The opening price of the stock in the beginning is A = $ 80

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the opening price of the stock in the beginning be A

Now , the percentage of decrease in the stock price = 2.75 %

And , the price after decrease = $ 77.80

On simplifying , we get

The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80

A - ( 2.75 / 100 )A = 77.80

( 97.25/100 )A = 77.80

Divide by 97.25 on both sides , we get

A / 100 = 0.8

Multiply by 100 on both sides , we get

A = $ 80

Hence , the opening price of the stock is A = $ 80

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Answer:

No

Step-by-step explanation: he is 3 and 1/3 feet tall. 3 feet is 36inch and 1/3 feet is 4 inches, so 36+4 is 40 inches

Answer:

1/3

Step-by-step explanation:

Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.

Answer:

11.9 cm.

Step-by-step explanation:

A cube has a SURFACE AREA of 850 cm^2.

A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.

Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).

[tex]\sqrt{141.666666666667}[/tex]

= 11.90238071

So, the side length of the cube is 11.9 cm.

Hope this helps!

Answer:

1. 180 - 55 = 125

2. 180 - 125 = 55

3. 180 - 55 = 125

4. 180 - 70 = 110

5. 180 - 110 = 70

6. 180 - 70 = 110

7. 180 - 110 = 70

8. 180 - 141 = 39

These are all the right answers, can I please have brainliest I need 1 more.  

Answer:

1.  125º

2. 55º

3. 125º

4. 110º

5. 70º

6. 110º

7. 70º

8. 39º

Step-by-step explanation:

Hey there!

1.

XVR and WVX are supplementary angles meaning we can do,

180-55 = 125º

2.

Find RVS,

180 - 125 = 55º

3.

WVS,

180 - 55 = 125º

4.

RST,

We need RSV,

55 + 55 = 110

180 - 110 = 70

180 - 70 = 110º

5.

RSV = 70º

stated in A.4

6. VSU

110º

It is across from RST meaning it is 110.

7. UST

70º

Across from RSV

8. TUS

180 - 141

= 39º

Hope this helps :)

Answer:

( 1/25 x^-12 y^-14 )

Step-by-step explanation:

( 5 x^6 y^7 ) ^-2

We know that ( ab) ^c = a^ c * b^c

( 5^-2 x^6^-2 y^7^-2 )

We know that a^b^c = a^(b*c)

( 5^-2 x^-12 y^-14 )

We know that a^ -b = 1/ a^b

( 1/25 x^-12 y^-14 )

Answer:

1.road 1

2. scooter

3. walk

Answer:

1. road 1

2. scooter

3. walk

Step-by-step explanation:

1. in the corresponding point on the tree, you have road 2. therefore, the most logical answer would be road 1.

2. you are given three options of travel. as "walk" and "bike" are already provided, they cannot be the answer to fill in for box 2. therefore, you are left with "scooter."

3. similarly, you are given three options of travel. as "bike" and "scooter" are already provided, they cannot be the answer to fill in for box 3. therefore, you are left with "walk."

Answer:

The only way is across.

Answer:

Step-by-step explanation:

3x + 6 < 12

     -6      -6

3x < 6

x < 2

    x < 2

  <------------o  

                  2

Answer:

Step-by-step explanation:

28800 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 10 * 10

You need one 2

You need one 3

You need one 10

28800 * 2 * 3 * 10 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 10 * 10 * 10

(2*6 * 3* 3^3 * 10^3) ^(1/3)

2*2 * 3 * 10 is the cube root

120

Answer:

[tex] \frac{ {x}^{2} + {5x}^{2} + 4x + 4}{x} [/tex]

Answer:

choice A: f(x)=3(x+1)^2+2

Step-by-step explanation:

All the choices are written in vertex form.

The vertex of the graph shown is (-1, 2).

all answer choices show that the a-value in vertex form is a positive 3

the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola

so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex

the equation fully simplified is f(x)=3(x+1)^2+2

Answer:

(3-8i)

Step-by-step explanation:

Group the real part and the imaginary part of the complex number

Answer:

A, B, E

Step-by-step explanation:

I attached everything that I thought it would help you.

Hope this helps ;) ❤❤❤

Answer:

Page 1:

I chose Cartoon 3

=> It can be difficult to save money because we don't actually know where all of our money goes. In this cartoon, the lady has bought something of which she had no idea but she bought that just because it was on sale. It is of no use to her and she even doesn't know how to use it. She didn't same money (as it was on sale), she rather wasted the money on buying a think she doesn't even know how to use.

     I found this cartoon persuasive as the cartoonist tried its best to persuade the watcher. The cartoon would look more persuasive if the cartoonist added more colors to it. So, it would look more attractive.

Page 2:

I feel really depressed about the situation but thanks to God I've that $1000. I think I would e able to spend 30 days with those $1000 by restricting my expenditures. Then I'll have a happy 30 days. Also, I can find a new job during these 30 days too.

Answer:

Translating it to the left by 1 unit means that we need to add 1 from the quantity in the absolute value symbols. However, it is 1/2x and not x so we only add 1/2 which gives us y = |1/2x - 1.5| + 3.

Answer:

25 is the same lenghth rounded

Step-by-step explanation:

aproximitly it rounded to the 10

Answer:

f. 85

Step-by-step explanation:

All triangles add up to 180 degrees

BCE=25

then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60

isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)

we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees

since 70 (angle DBC) + 25 (Angel BCA)= 95

we just subtrract 95 from 180 to get the answer 85 (:

Answer:

85 degrees

Step-by-step explanation:

if Δ ABD is equilateral  then the 3 sides and three angles are equal

sum of angles of Δ=180

180/3=60 degrees (∠A,∠B,∠D)

ΔBCA is isosceles then the two angles A and C are equal = 25

∠B=180-50=130

∠B in Δ BEC=130-60=70

∠E+∠B+∠C in Δ BEC=180

∠E= 180-70-25=85 degrees

Answer:

4 centimeters

Step-by-step explanation:

The volume of a sphere can be found using the following formula:

v=4/3*π*r^3

We know the volume is 34 cm^3. Therefore, we can substitute 34 in for v.

34=4/3*π*r^3

We are trying to find r, or the radius. Therefore, we need to get r by itself on one side of the equation.

First, divide both sides by pi.

34/π=4/3*π*r^3 /π

34/π =4/3 * r^3

10.8225361= 4/3 * r^3

Next, divide both sides by 4/3, or multiply by the reciprocal of the fraction.

To find the reciprocal, flip the numerator and denominator of the fraction

4/3 ---flip top number and bottom number --> 3/4

3/4 * 10.8225361= 4/3*r^3 *3/4

3/4* 10.8225361= r^3

8.11690208= r^3

Finally, take the cube root of both sides of the equation.

∛8.11690208=∛r^3

∛8.11690208=r

2.00969477=r

Round to the nearest whole number.

r=2

Now, we must find the diameter. The diameter is twice the radius.

d=2r

The radius is 2 cm.

d= 2 * 2cm

d= 4 cm

The diameter is 4 cm

Answer:

  y = 86°

Step-by-step explanation:

The measure of an arc intercepted by an inscribed angle is double the measure of the inscribed angle.

The arc intercepted by the 93° inscribed angle is ...

  112° +x = 2(93°)

  x = 74° . . . . . . . subtract 112°, simplify

The arc intercepted by the 80° inscribed angle is ...

  x + y = 2(80°)

  74° +y = 160°

  y = 86°

Answer:

y=3x+1

Step-by-step explanation:

perpendicular lines=their gradient multiply to produce -1 thus:

(line 1) y= -⅓x+1. gradient is. -⅓x

(line 2) gradient = 3

y=mx+c

3=y-7

x-2

multiply both sides by x-2 to remove the denominator.

3(x-2)=y-7

3x-6=y-7

collect the like terms to remain with y in one is side

3x-6+7=y

3x+1=y

y=3x+1

Answer:

3kg

Step-by-step explanation:

3kg because half of 2 is 1 which then means 2+1 will equal to 3

The total weight of the fish is = 3kg

Weight of an object or a body is the relative mass of that body in Kilogrammes.

The weight of the fish = 2kg + (1/2 × 2kg)

= 2 + 1 = 3kg

Therefore, the total weight of the fish is = 3kg

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Answer:

D. {x:-8≤x<-5}

Step-by-step explanation:

x≥-8

x={-8,-7,-6,-5,-4,-3,-2,-1,0...}

x<-5

x={-6,-7,-8,-9,-0...}

Numbers equal to or less than -8 are also less than -5

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Answer:

The answer is "D"