7x+20=7x+20
help asap
step by step please

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer: 29.5

Step-by-step explanation:

Triangles AED and ABC are congruent to one another according to SSS congruency.

Given,

The side BC is equal to side DE.

The side AC is equal to side AD.

∠BAC = ∠DAE

We have to find that whether  triangle ABC congruent to triangle AED;

Here,

The side AB = 7 units.

The side AE = 7 units.

Therefore,

The side AB is equal to side AE.

The sum of all the angle of a triangle is 180°.

Consider the triangle ABC and triangle AED.

AB = AE

AC = AD

BC = DE

So, the triangle ABC is congruent to triangle AED by SSS congruency.

That is,

The triangle AED and triangle ABC are congruent by to each other by SSS congruency.

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The image for the question is attached below.

Answer:

The value of x = 1

Step-by-step explanation:

2x+3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .

Solution : -

\( \longmapsto \qquad \: 2x + 3 = 5\)

Step 1 : Subtracting with 3 on both sides :

\( \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3\)

On further calculations, We get :

\( \longrightarrow \qquad \:2x = 2\)

Step 2 : Dividing with 2 on both sides :

\( \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }\)

On calculating further, We get :

\( \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar\)

Verifying : -

Now we are checking our answer by substituting value of x in the given equation . So ,

Therefore , our answer is correct .

Answer: 100km = 62.5 miles.

Step-by -step explanation: given 5miles = 8km. now, 5miles — 8km. X miles — 100km. now do cross multiplication.

Answer:

divorce

Step-by-step explanation:

I recommend a divorce

Answer:

its E

Step-by-step explanation:

Yes, the diagonals of a parallelogram bisect each other as well as the angles they intersect. This means that each diagonal divides the parallelogram into two congruent triangles and each angle formed by the intersection of the diagonals is bisected into two equal angles.

The diagonals of a parallelogram have the following properties :

They bisect each other, meaning they divide each other into two equal parts.

They do not bisect the angles of the parallelogram, meaning they do not divide the angles into two equal parts, except in some special cases such as a rectangle or a rhombus.

They divide the parallelogram into two congruent triangles, meaning the triangles have equal sides and angles.

So, the answer to your question is no, the diagonals of a parallelogram do not bisect the angles in general. However, if the parallelogram is a rectangle or a rhombus, then the diagonals do bisect the angles

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If 2 similar "rectangular" shaped prisms have surface-area as 112 cm² and 1008 cm², then base perimeter of larger prism is 36 cm.

In order to calculate the Perimeter, we first calculate the "scale-factor" "k",

The "Scale-Factor" "k" is defined as the ratio of area of two figures which are similar,

So, (area of small rectangular prism)/(area of large rectangular prism) = k²,

Substituting the values of "Area",

We get,

⇒ k² = 112/1008,

⇒ k = 1/3,

Now, we use this "scale-factor" to find the value of the length and width of the "large-rectangular-prism".

For the length:

⇒ (length of small rectangular prism)/(length of large rectangular prism) = k,

⇒ 4/x = k,

⇒ 4/x = 1/3,

⇒ x = 12 cm.

For the width,

⇒ (width of small rectangular prism)/(width of large rectangular prism) = k,

⇒ 2/y = 1/3,

⇒ y = 6.

We know that the Perimeter(P) of base of Larger-Prism is calculated by the formula : 2l + 2w,

Substituting the values of Length(l) = 12 cm and width(w) = 6 cm,

We get,

⇒ Perimeter = 2×12 + 2×6 = 24 + 12 = 36 cm.

Therefore, the required Perimeter is 36 cm.

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Answer:

a percent is a variable of proportionality describing the part of the whole.

The percentage of any quantity can be defined as the product of that quantity with the percent value divided by 100. The complete phrase of the given question is " a percent is a  constant of proportionality describing the part of the whole."

The percentage can be defined as the proportion of any quantity as a part of the whole. To change the percentage into a fraction it is divided by 100.

The proportionality constant is a quantity that is used to change the proportionality relation into an equation.

And, the part of any quantity is always less than the whole.

Thus, the given question can be rephrased as,

A percent is a  constant of proportionality describing the part of the whole.

Hence, for the given statement the correct choice of words in sequence is  constant, part and whole.

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Answer:

\(f^{-1}\)(x)=\(10^{-x+2}\)+1

Step-by-step explanation:

The domain of this relation is the years 2001-2006 and the range is the number of inductees (8-11).

a. A mapping diagram is a visual representation of data that plots each item and its corresponding value in a diagram. The domain of this relation is the years 2001-2006, and the range is the number of inductees (8-11). A mapping diagram of this relation would look like this:
2001 | 11
2002 | 8
2003 | 9
2004 | 8
2005 | 7
2006 | 6

b. An ordered pair is a set of two values that are related in some way. For example, for the year 2001, the ordered pair would be (2001, 11) because 11 inductees were inducted in 2001. The ordered pairs for the Rock and Roll Hall of Fame and Museum inductees are (2001, 11), (2002, 8), (2003, 9), (2004, 8), (2005, 7), and (2006, 6).

c. A graph on the coordinate plane is a visual representation of data plotted on two axes. The x-axis represents the domain (the years 2001-2006) and the y-axis represents the range (the number of inductees 8-11).

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Answer:

Step-by-step explanation:

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

20%

Step-by-step explanation:

Cars that are less than 19  mpg : 16, 18

2 cars have less than 19 mpg.

2/10  cars have less than 19 mpg.

To change fraction to percentage :

divide the numerator by the denominator, then multiply the decimal by 100

2/10 = 0.2

0.2*100 = 20

20%

Answer:

No, it is not possible to have a triangle with sides of 2cm, 2cm, and 5cm. This is because a triangle's sides must adhere to the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 2cm + 2cm (4cm) is not greater than 5cm, so it is not possible to form a triangle with these side lengths.

Step-by-step explanation:

Answer:

Yes u can

Step-by-step explanation:

U can create a triangle with that because 2+2 is 4 which is less than 5 meaning it would work as a triangle

Step-by-step explanation:

always remember Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

this principle must be always fulfilled, otherwise it is not a right-angled triangle.

when your have a triangle problem (particularly for a right-angled triangle) with only side information, there is a high chance that you need to use Pythagoras.

in our case

(2×sqrt(3))² = x² + (sqrt(3))²

4×3 = x² + 3

12 = x² + 3

x² = 9

x = 3

that's all.

FYI : sqrt(x²) has actually 2 solutions : -x and +x, as both are squared equal to x².

but a negative number does not make any sense for general side lengths and similar things. so, the positive solution here is the only valid one.

Answer:

\(y=-9\)

Step-by-step explanation:

We want to find an equation of a line that is parallel to y=-5 and also passes through (-2,-9)

Note that y=-5 is a horizontal line.

This means that in order to be parallel to our old line, our new line must also be horizontal.

So, the equation of our new line will be whatever y-coordinate is being used from our point.

Our point is (-2,-9).

The y-coordinate is -9.

So, the equation of our horizontal line is:

\(y=-9\)

This is in standard form.

And we're done!

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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The expression represents the number of hours in w weeks and d days is 168 W + 24 d.

The correct option is (C).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

We know the number days in a week = 7

and, the number of hour in a day = 24

So, number of hour in a week = 24 x 7 = 168

Then, the expression number of hours

= 168 W + 24 d

where W is the weeks and d is days.

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Answer:

i gotchuuu

Step-by-step explanation:

slope is 9/-2. this is because i used the slope formula y2-y1 over x2-x1. hope this helped :)

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

The area of a parallelogram is given by the formula A = base x height. In this case, the base has a length of x meters, and the height is x - 1 meters. So we can write:

A = x(x - 1)

We are told that the area is 306 square meters, so we can set up an equation:

x(x - 1) = 306

Expanding the left side gives:

x^2 - x = 306

Bringing all the terms to one side gives a quadratic equation:

x^2 - x - 306 = 0

We can solve for x using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Here, a = 1, b = -1, and c = -306, so:

x = (1 ± sqrt(1 - 4(1)(-306))) / 2(1)

x = (1 ± sqrt(1 + 1224)) / 2

x = (1 ± sqrt(1225)) / 2

x = (1 ± 35) / 2

So x is either (1 + 35) / 2 = 18 or (1 - 35) / 2 = -17/2. Since x represents a length, it cannot be negative, so the value of x is 18 meters.

Therefore, the answer is x = 18.

Answer:

1/2x+7

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

First use a step by step process called BODMAS which stands for brackets of(x) division multiplication additon and subtraction

Answer:

c ) 54

Step-by-step explanation:

y = 429 ( Given )

x = round( y / 8 )

  = round( 429 / 8 )

  = round( 53 . 625 )

  = 54

Answer:

3

Step-by-step explanation:

speed is distance divided by time

Answer:

20 minutes

Step-by-step explanation:

Based on the provide system of linear equations, the solution is that there is no solution.

A system of linear equations refers to a collection of one or more linear equations involving the same variables. The solution to a system of linear equations refer to the point at which the lines representing the linear equations intersect. If the lines are parallel, they will never intersect hence, the system has no solution.

According to the provided information, the percentage of smokers in Russia is given by the equation 36x+100y=346 and the percentage of smokers in Poland is given by the equation 18x+50y=176. In order to determine the solution of the system of linear equations, multiply the Poland equation by 2 and subtract it from the Russian equation. Hence,

2*(18x+50y=176)

36x + 100y = 352

-(36x+100y=346)

0 = 6

It means the original equations are parallel. As both the variables are eliminated, the system has no solution.

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