Which expressions are equivalent to 2(4x+2y)


A: 4(2x+y)

B: 8x+4y

C: 2x(4+2y)

D: 8x+2y

The solution is

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

a)

Let the first triangle be ΔNQR

QR = 17 m

NQ = 21 m

NR = 24 m

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to QR = Angle N

Angle N is the smallest angle in ΔNQR

And , Angle opposite to NR = Angle Q

Angle Q is the largest angle in ΔNQR

Therefore , Angle N < Angle R < Angle Q

b)

Let the second triangle be ΔGHJ

HJ = 6 in

GJ = 7 in

GH = 10 in

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to HJ = Angle G

Angle G is the smallest angle

Angle opposite to GH = Angle J

Angle J is the largest angle

Therefore , Angle G < Angle H < Angle J

Hence , the angles are in the order

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

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Answer:

35

Step-by-step explanation:

A triangle has a total of 180 degrees. To find the missing angle, we subtract 113 and 32 from 180 to get the answer.

Answer:

h = 35

Step-by-step explanation:

113 + 32 + h = 180

113 + 32 = 145

180 - 145 = 35

so

h = 35

remember me? Imao

Answer:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

Step-by-step explanation:

The profit expression is 70x + 50 and the profit if 240 cell phones are sold is $16,850

where,

x = number of cell phones sold.

Profit = Revenue - cost

= (2x² + 55x + 10) - (2x² – 15x – 40)

= 2x² + 55x + 10 - 2x² + 15x + 40

Profit = 70x + 50

Profit = 70x + 50

= 70(240) + 50

= 16,800 + 50

= $16,850

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Answer:

Step-by-step explanation:

[tex]\text{rule }(x^a)(x^b)=x^{(a+b)}\\ \\ (b^{-7})(b^3)=b^{(-7+3)}\\ \\ b^{-4}=\frac{1}{b^4}[/tex]

Answer:

1/ b^4

Step-by-step explanation:

because -7 +3 = -4 but it can only be positive. So you but the -4 to the bottom to become b^4

Answer:

X=5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

<EAD is 180° as a whole

All that is needed is to subtract 100° and 20° from 180°

now you are left with x° which is 60° left over from the 180°

Answer:

$20.40 after the discount

Step-by-step explanation:

To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6

Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40

Answer:

Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

Answer:

how big is the hole ?

Step-by-step explanation:

i think the answer is B tho

pls give brainliest

Answer:

?

Step-by-step explanation:

Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

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Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer:

dude that's easy 1,36 2,18 3,12 ,4,9 6,6

Step-by-step explanation:

Answer:

A., B., E., F., G.

Step-by-step explanation:

Hope this helped! Have a nice day!

Answer:

Step-by-step explanation:

100(14(6))/(3(7))

100(84/21)

100(4)

400%

Answer:

[tex]\angle EHG = 80[/tex]

Step-by-step explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine [tex]\angle EHG[/tex]

First, we calculate x in ABC

[tex]x + 2x + 60= 180[/tex]

[tex]3x + 60= 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]

and

[tex]\angle ABC = 2x[/tex]

[tex]\angle ABC = 2 * 40[/tex]

[tex]\angle ABC = 80[/tex]

Hence:

[tex]\angle EHG = 80[/tex]

Answer:

C

Step-by-step explanation:

Divide each side by 5

Step-by-step explanation:

if 9 boxes is 42.75 then 1 box is 4.75 dollars

so 13 boxes would be 13X3.75 which is 61.75$

if 9b=$42.75

1b=x

9bx=$42.75b

x=$42.75b÷9b

x=$4.75

Answer:

8mm

Step-by-step explanation:

Answer:

3x - 2

Step-by-step explanation:

[tex]4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2[/tex]

Step-by-step explanation:

in my opinion, maybe it's ∠1 and ∠4

∠1 and ∠4 are congruent to ∠5 by corresponding and alternate angle theorem.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, line l and line m are intersected by a transversal line t.

Angles congruent to ∠5 is ∠4 by alternate interior angle theorem.

∠1 is also congruent to ∠5 by the corresponding angle theorem.

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Answer:

nah and yall kids stop looking on here to cheat ronnie wilson

Step-by-step explanation:

Answer:

del

Step-by-step explanation:

d

Answer:

3/10

Step-by-step explanation:

Brainliest is much appriciated

Answer:

3/10    i believe, if it is right

Step-by-step explanation:

Answer:

ab = 6

a+b = 5

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The expression that best represents Oliver making 8 withdraws $25 should be considered as 8(-25).

Since the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25

So here the withdrawn amount should be $25

And, the earning is $8

So here the expression be like 8(-25).

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Step-by-step explanation:

count the number of full boxes

count yhe number of the unfull boxes

then add them together

divide the answer by two

Answer:

$2120

Step-by-step explanation:

method:

3% x $2000 = 60

100%

$60 per year = $120 per year

Ans: $2120 will be in the account

answer: 16(1 1/8x3)=y y=54

Step-by-step explanation:

1 1/8x3= 3 3/8

3 3/8x16=54

The length of the three ropes together is 54 feet.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Marco has a rope that is 16 feet long. He ties his rope to Liam and pams with a square knot that uses 1¹/₈ feet of rope.

The length will be calculated as,

E 16(1¹/₈x3)

E = 1¹/₈x3 = 3³/₈

E = 3³/₈x16

E = 54 feet

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Answer:

8 times 34= 272

Step-by-step explanation: