Find the area of 2x-9 + x+5

Answer:

ASA

Step-by-step explanation:

ASA stands for Angle-Side-Angle which is the congruency theorem that states that if a triangle shares two congruent angles that have one line in between the two angles share a side length congruent to each other, then the two triangles are congruent.

Before you get very confused on the difference between AAS (Angle-Angle-Side) and ASA (Angle-Side-Angle), let explain why these two triangles are ASA.

We are given that both triangles share a similar side length at KL where they are connected. We are also given that angle ∠JKL is congruent to angle ∠MKL. We are also given that angle ∠MLK is congruent to angle ∠JLK.

The most important part after deciding all the relationships is given to us, it is deciding what kind of congruence theorem we will use. We are given the options:

Because we are presented with two congruent angles and one congruent side, we know that this triangle congruency theorem is either ASA or AAS. To understand why these triangles are ASA, we have to look at where the two-given congruent sides are located. As we can see in the name and in our two triangles, the congruent side lengths are in between the two angles as it touches both angle ∠JKL and angle ∠JLK in triangle ΔJKL, while in on ΔMKL, the congruent side length is also found between angle ∠MLK and angle ∠MKL. So, these triangles share ASA because they share two congruent angles connected by one congruent line.

ORDER MATTERS WHEN YOU WRITE YOUR CONGRUENCY THEROMS

AAS is technically not the same as ASA and I will explain that in one moment.

An example of AAS is if instead being told that ∠JKL is congruent to angle ∠MKL, we are given that ∠KJL is congruent to angle ∠KML instead. now the congruent sides are not connected to angle ∠KJL or angle ∠KML. The side is no longer in-between the two congruent sides. The reason order matters here are because order matters between AAS and ASA because in another theorem, SAS, you will find out order matter because while SAS guaranties congruency SSA does not.  Technically, though, while both AAS and ASA both guaranty congruency, they are labeled separately, the way the remaining congruency thermos are.

In the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .

In the question ,

the data set is given as {30,45,49,50,63,75,75,77,84}

as the data set has 9 terms , the median will be the central term that is 5th term .

so the median is 63 .

For finding the lower and upper quartile , we break the set into two half .

lower half = {30,45,49,50}

the lower quartile will be the central value ,that is (45+49)/2 = 47

so, the lower quartile(Q₁) is 47 .

upper half = {75,75,77,84}

the upper quartile will be the central value ,that is (75+77)/2 = 76

so, the upper quartile(Q₃) is 76 .

Therefore , in the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .

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tan 5 = x / 35

0.0874 = x / 35

cross- mulltiply

x = 35 x 0.0874

x = 3 . 059 = 3. 06 feet

The exchange rate is 1 USD = 0.992714 EURO

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometres. In this situation, one must convert from kilometres (km) to centimetres (cm) (cm).

Given:

1 US dollar = _________ euro.

As, the exchange rate between US dollar to Euros

1 USD = 0.992714 EURO

1 USD = 1 EURO

So, if we have to find 5 US dollar into EURO then

5 US dollar = 5.02 EURO = 5 EURO

Hence, the exchange rate is 1 USD = 0.992714 EURO

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The product of linear factors for p(x) is given as (x-4)(x^2+x-6).

The factor theorem states that;

From the question, given that x-4 is a factor of

p(x) = x^3 − 3x^2 − 10x + 24,

then it is divisible by x-4 and p(4)=0.

Dividing x^3 − 3x^2 − 10x + 24 by x-4 using the long division will result to another factor x^2+x-6 with a remainder of zero.

We can then conclude that (x-4)(x^2+x-6) is the product of linear factors for p(x).

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The missing proof in the given congruence of triangle is;

∠FAB = ∠FBA.

For the given question;

The given data in the triangle FAB is;

In the step two,

FA = FB (Property of isosceles triangle)

Then, step 4 will be ∠FAB = ∠FBA.

Thus, the missing proof will be ∠FAB = ∠FBA.

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ANSWER:

We can see the answer in the drawing.

STEP-BY-STEP EXPLANATION:

In this case, we make the diagram as follows:

The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

The slope of two parallel lines is always the same.

The slope y-intercept form of an equation is y = mx + c where m is the slope.

Given the parallel equation y = -2x + 5 by compare slope = -2

Therefore,the equation will become y = -2x + c

Substitute,(1,-4) into this

-4 = -2(1) + c ⇒ c = -2

So equation converts as y = -2x - 2.

Hence "The equation of the line that is parallel to the line y = −2x +5 and passing through the point (1, −4) is y = -2x - 2".

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ok

Measures base = 3cm

height = 4cm

tall = x

volume = 144 cm^3

Volume = Area of the base * tall

Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2

144 = 6*x

x = 144/6

x = 24 cm

Result: The chocolate is 24 cm tall.

The expressions that gives x in terms of y from the given expression 7 y = 2 x − 5 is x = (7y +5)/2.

The concept that will be used in this question is solving of linear equation, because the equation is linear, then we perform the simplification.

The given expression is  is 7 y = 2 x − 5

Then from the expression we can make 2x the subject of the formula by rearranging it as 2x = 7y +5

Then this can be further expressed by dividing the both sides by the factor of 2, which can be expressed as ;

x = (7y +5)/2

Therefore, option A is correct because it is the expression that gives the x in terms of y.

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Check the missing options:

A. x = (7y +5)/2

B. y = (7x +5)/2

C. x=(7y +5)/3

The linear equation that represents the problem is  4w + 30 = 150.

The dimension(width and length) of the rectangle is 30 cm and 45 cm .

A rectangle is a quadrilateral with 4 sides.

Opposite sides of a rectangle are equal to each other.

Opposite sides of a rectangle are parallel to each other.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Hence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.

Therefore,

perimeter of rectangle = 150 cm

l = 15 + w

Hence,

150 = 2(15 + w + w)

150 = 2(15 + 2w)

150 = 30 + 4w

Therefore, the linear equation to represent the problem is  4w + 30 = 150.

Let's solve for the dimension of the rectangle.

4w + 30 = 150.

4w = 150 - 30

4w = 120

w = 120 / 4

w = 30 cm

L = 15 + 30 = 45 cm

Therefore,

length = 45 cm

width = 30 cm

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Answer: w=2.56

Step-by-step explanation:

7.68/3=2.56

If the ∠2 = 6x+20 degrees and ∠8 = 8x-10 degrees, then the values of x is  15

The lines a and b are parallel lines

Here two parallel lines a and b are cut by a transversal t

The angles are

∠2 = 6x+20 degrees

∠8 = 8x-10 degrees

The angle 2 and angle 8 are called alternate exterior angles

When the two parallel lines are cut by a transversal, the formed alternate exterior angles are equal.

Then

6x+20 = 8x-10

Solve the equation

6x-8x = -10-20

-2x = -30

x = -30/-2

x = 15

Hence, if the ∠2 = 6x+20 degrees and ∠8 = 8x-10 degrees, then the values of x is 15.

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The time taken to completely fill the pool is 5/4 hour

From the question, the given parameters are:

Time =3/4 hour

Size of the pool = 3/5

The time to fill the pool is then calculated as

Time = Given time/Proportion of the pool

Substitute the known values in the above equation

So, we have the following equation

Time = 3/4 hour ÷ 3/5

Express the quotient as product

So, we have the following equation

Time = 3/4 hour x 5/3

Evaluate the products

Time = 5/4 hour

Hence, the time taken is 5/4 hour

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Height of the triangle is = 14m

Given,

Base of the triangle is 8m

Area of the triangle is = 56m^2

To find the height of the triangle.

Now, According to the question:

We know that

Area of the triangle is = 1/2 x b x h

where, b = base

h = height

Plug all the values of base and area in above formula:

56m^2 = 1/2 x 8m x h

56 x 2 / 8 = h

h = 14m

Hence, Height of the triangle is = 14m

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Given data:

Total packs 3x3 sticky notes: 24 packs

Cost of 24 packs: 28.99

Number of sticky notes in a pack: 100

With the information above, we can proceed to find the answers to the questions

Part A: What is the price for each pack?

Since 24 packs cost 28.99

Then 1 pack will cost =

Hence, a pack will cost $1.21

Part B: How much is every single sticky note?

Since each pack cost 1.21, and each pack has 100 sticky notes, then

each sticky note will cost

=> every single sticky note will cost $0.012

Given the graph, you can identify that x-axis represents the number of the corresponding month, and the y-axis represents the Number of Newspapers distributed (in hundreds).

You know these points:

Notice that 200 school newspapers were distributed in the second month, and 300 school newspapers were distributed in the fourth month. Therefore, you can conclude that the number of school newspapers that were distributed in the second month must be between 200 and 300. You can set up that, for:

The y-value is:

Hence, the answer is: Second option.

Answer:

I got you, the answer is c+32.

Step-by-step explanation:

Hope this helps. Please mark branliest if right.

If we round 81.244 to the nearest whole number then it would be 81.

For 65.33 is 65. Then, we sum.

Answer:

2x - 14 = -4

that is the equation simplified

Let's first calculate the percentage for 1/4

Let's first calculate the percentage for 1/6

Jon's bathtub exists rectangular and its base exists 18 ft². The water level rising if Jon is filling the tub at a rate of 0.2 ft³/min is 0.011 ft/min.

A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

If we take a look at a rectangular bathtub, the volume of the bathtub can be expressed as:

Volume (V) = length × breadth × height

where; base = length × breadth = 18ft²

The volume of the rectangular bathtub = 18h ......... (1)

Using differentiation to differentiate 18h with respect to t implicitly, then:

[tex]$\frac{\mathrm{dV}}{\mathrm{dt}}=18 \frac{\mathrm{dh}}{\mathrm{dt}}$$[/tex]

When the rate of rising of the volume is 0.2 ft² / min

[tex]$0.2=18 \frac{\mathrm{dh}}{\mathrm{dt}}$$[/tex]

substitute the values in the above equation, we get

[tex]$\frac{\mathrm{dh}}{\mathrm{dt}}=\frac{1}{18} \times(0.2)$$[/tex]

[tex]$\frac{\mathrm{dh}}{\mathrm{dt}}=0.011 \mathrm{ft} / \mathrm{min}$$[/tex]

Therefore, we can conclude that the rate at which the water level rises if Jon is filling the tub at 0.2 ft³/min exists 0.011 ft/ min.

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SOLUTION

To get how many more stickers were shipped last month than this month, we simply subtract this month's shipment from last month's shipment.

This becomes

Therefore, the we have 1,000,000,000 to the nearest billion.

Option D is the correct answer

Answer:

120

2 1/2 hours is 150 minutes and your covers 150 miles in 150 minutes, so remove 30 minutes because 1/2 an hour is 30 minutes and remove 30 miles because you're going of time because 1 minute = 1 mile

The two equations with infinitely many solutions are the ones in options B and C.

An equation only has infinitely many solutions if we have a true equation that does not depend of x.

For example, if you look at option B, we have:

-76x + 76 = -76x + 76

We have the same expression in both sides, if we subtract it in both sides we get:

0 = 0

This is true, and does not depend of x, so this equation has infinitely many solutions.

The same thing happens for equation C.

76x+76=76x+76

Where we have the same thing in both sides.

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The length of x in the isosceles right triangle is 15.6 units.

An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.

The triangle above is an isosceles triangle. The triangle is also a right angle triangle. A right angle triangle is a triangle that has one of it's angles as 90 degrees.

Using Pythagoras's theorem, let's find the side x

c² = a² + b²

where

Therefore,

11² + 11² = x²

121 + 121 = x²

x = √242

x = 15.5563491861

Therefore,

x = 15.6 units

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The sum of  -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).

Firstly, we will convert the mixed fractions into improper fractions.

-1 and 3/4 = -7/4

2 and 1/2 = 5/2

Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4

Difference between  2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4

As both the values equal to 3/4 , we can say that the addition of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

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Age of Judy = 12 yrs old

Age of x = 8 yrs old

Age of Mukta= 16 yrs old

Ratio between the 3 ages = 12 : 8 : 16

Since all the three numbers are divisible by 4

Therefore the ratio comes out to be 3 : 2 : 4 or 3 ratio 2 ratio 4

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Answer:

= 12 : 8 : 16

all the three numbers are divisible by 4

the ratio is 3 : 2 : 4