Find the side length, a.
Round to the nearest tenth.

A=29°
b=4
c=10

a=[?]

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer:

8+3n

Step-by-step explanation:

-5 + 14/-15

= 9/-15

= -0.6

Answer:

D

Step-by-step explanation:

Took the test

Answer:

0.992774 ≅ .993

Step-by-step explanation:

a²+b²=c²

a=x

b=3

c=3.16

x²+3²=3.16²

x²+9=9.9856

x²=.9856

x=0.992774

x≅0.993

The probability of getting a head and a prime number when a coin is flipped and a die rolled is 1/4

Probability is numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

.A die has 6 faces and a coin has 2 faces

Therefore Total outcome of a die is 6 and Total outcome of a coin is 2

probability for an event to occur is sample space/ total possible outcome

P(H)= 1/2

P(2,3,5)= 3/6= 1/2

therefore P(H)×P(2,3,5)= 1/2×1/2

= 1/4

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The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.

On this note, since the numbers can be written as follows;

= (53.2 × 100)/(0.61 × 100)

= 53.2/0.61

The estimate can therefore be determined by evaluating;

= 53/0.6

= 88 remainder 1.

Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.

Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

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Answer:

x = 2

Step-by-step explanation:

2 + 3 = 5

Answer: (b)

Step-by-step explanation:

Given

The letter "BHUTAN" has to be arranged

For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

\(\Rightarrow 6\times 5\times 4\times 3\times 2\times 1=6!\\\Rightarrow 720\ \text{ways}\)

Thus, option (b) is correct.

Answer:

30. A right triangle has one angle that is 90°

All angles add to 180°

180 - 90 - 60 = 30

Step-by-step explanation:

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

y= 3x+6

Step-by-step explanation:

the equation to use for this problem is y= mx+b

m is the slope (3) and b is the y-intercept (0,6)

let's plug those numbers into the equation.

y= 3x+6

Hope this helps!

Answer and Step-by-step explanation:

To find the mean, you have to add all of the data together, then divide by the amount that there is.

So, when adding together the data, we get 66. We have 6 values, so we will divide 66 by 6.

66 divided by 6 is 11.

The mean of the data set is 11.

#teamtrees #PAW (Plant And Water)

Answer:

11

Step-by-step explanation:

20+14+14+9+8=66

66 divide by 6 = 11

Answer:

eight divided by twelve

Step-by-step explanation:

8/12=0.66666667

A grandmother bakes 8 pies and needs to distribute them evenly among her 12 neighbors. How many pies will each neighbor get?

Answer:

8÷12 = 2/3 (fraction form)

          0.67 (exact number rounded to the nearest tenth)

Answer:

He traveled 165Miles.

Step-by-step explanation:

Simple math, if it took 3hrs and he was doing 55 miles per HOUR then multiply 55 by 3.

Answer:

165 miles

Step-by-step explanation:

The equation is d = rt.

The r, or rate is 55, and the t, time is 3. Multiply 55 by 3 to get 165.

Hello there. To solve this question, we'll have to remember some properties about inequalities.

Given that you have a free trial of 60 minutes of the game, it takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level, we have to find an inequality that solves for how many levels l you can play.

Of course, if it takes 7 1/3 minutes to play each level, the amount of time spent is:

So we add it to 5 1/6, the time needed to set up the game, as follows:

This is the total amount of time you'll spend after setting up the game and playing each level.

Since this free trial lasts for 60 minutes, then we have the inequality:

This is the answer contained in the option B.

You'll find how many levels you can play by solving the inequality. Remember the mixed fraction notation:

Such that you have:

Multiply both sides of the inequality by a factor of 6

Subtract 31 on both sides of the inequality

Divide both sides by a factor of 44

Since it has to be an integer, you can play at most 7 levels.

Answer:

28800

Step-by-step explanation:

first find Gerard's salary and then divide it by 1.25

Answer:

28800

Step-by-step explanation:

Let M be Martin and G be Gerard

Let 12:7 be 12x:7x

21000 = 7x

x = 3000

12x = 3000*12 = G after pay rise

12x = 36000 = G after pay rise

36000 = 125% G before pay rise

1.25G = 36000

G = 28800

Hope this helps ;)

Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((

Answer:

?? Which line

Answer:

$2,935 increase, which makes $32,285.

Step-by-step explanation:

10% is .10, so just multiply 29,350 by .10 and ger 2,935. Then add it to your inital value.

Answer:

10980

Step-by-step explanation:

10,000

Since the thousand is 0 you keep the ten thousand at 1 and make all other digits 0.

2:

You're finding perimeters so you're basically adding up all the sides.

44 + 36 + 11 +9 = 100

P(triangle BDE) = 100

4:

triangle XYZ is double the size of triangle RST

the constant of proportionality is 2

This means that ZX will be 12 , ZY will be 26 , and XY will be 17.4

Add them together, and you get 55.4

P(triangle XYZ) = 55.4

Answer:

The answer to this question is B

Answer:

the answer for this question is 110°

Step-by-step explanation:

you have to add the angles first in this case 25 and 45

and then subtract the sum from 180.

so.... 25+45=70

        180-70=110

hope its was helpful :)  

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

29+3374=32483 that is the solution for the question

On performing the indicated operation, we get the following result: -9a³ -22a² +7a +9

Polynomials are algebraic expressions that are made up of only variables and coefficients.

Here, we ae given an polynomial expression as follows-

(-5a³ -7a² +10) - (2a³ +8a² -2a -1) + (-2a³ -7a² +5a -2)

To solve this, we first open the brackets as follows-

= -5a³ -7a² +10 -2a³ -8a² +2a +1 -2a³-7a² +5a -2

Now, we bring the terms with the same powers together as follows-

= -5a³ -2a³ -2a³ -7a² -8a² -7a² +2a +5a +1 -2 +10

= -9a³ -22a² +7a +9

Thus, on performing the indicated operation, we get the following result- -9a³ -22a² +7a +9

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Answer:

Domain: -1, 1, 2

Range: 3, 4, 6

Step-by-step explanation:

The domain is all of the x-values and the range is all of the y-values.

Hope this helps :)