Given the following image, what additional information would you need to know to prove the triangles really are similar by SAS Similarity?


Given the following image, what additional information would you need to prove that the triangles are actually similar by AA Similarity?

In the pair of given angles, the value of 2x and x is 52° and 26°.

So, the value of 2x and x:

Now, solve for x and 2x as follows:

Therefore, in the pair of given angles, the value of 2x and x is 52° and 26°.

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Answer:

AB

Step-by-step explanation:

the angles DCB and ACB are supplementary angles (together 180°).

simply because the sum of all angles around a single point on one side of a line is suggests 180° (it represents a half-circle).

so, the inner angle ACB is

ACB = 180 - 50 = 130°

because the sum of all angles in a triangle is also always 180°, there are only 50° left for the other 2 angles.

so, the inner angle at C is clearly the largest angle in the triangle ABC.

the larger an angle, the longer the opposing side.

the largest angle has the longest opposing side in the triangle.

the opposing side of the inner angle C is AB. and that is therefore the longest side in the triangle ABC.

The required measures of the angle A, L, and J is 40.8°, 83°, and 95° respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1.

The sum of the vertical angle is 180°. So,
∠A + ∠B = 180
Substitute value in the above equation,
x + 4x - 24 = 180
5x - 24 = 180
5x = 204
x = 204 / 5
x = 40.8°
∠A = 40.8°
Similarly,
2. ∠L = 83°
3. ∠J = 95°

Thus, the required measures of the angle A, L, and J is 40.8°, 83°, and 95° respectively.

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We can solve this by means of the change of base formula:

By replacing x for y, 3 for a, and 27.3 for x into the above formula, we get:

Then, x = 3.0101

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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The parent function of the quadratic function is

∵ x is added by 7

∴ The graph of the function is translated 7 units to the left

∴ The image of the function will be

∵ The function is added by -4

∴ The graph of the function translated 4 units down

∴ The image of the function will be

The transformation is

Shift 7 units left and shift down 4

The answer is D

Firts get the equation

Second, write the equation in form of Ax +

We are given that Jane used 200 minutes and the cost was $75, and also she used 680 minutes and the cost was $195. To determine a function of the cost "C" as a function of the minutes "x" we will assume that the behavior of this function is that of a line. Therefore, the function must have the following form:

Where "m" is the slope and "b" the y-intercept. We will determine the slope using the following formula:

Where:

Are points in the line. The given points are:

Substituting in the formula for the slope we get:

Solving the operations we get:

Now we substitute in the formula for the line:

Now we determine the value if "b" by substituting the first point. This means that when C = 200, x = 75.

Solving the product:

Now we subtract 18.75 from both sides:

Therefore, the formula of the cost is:

Part B. We are asked to determine the cost is there is a consumption of 323 minutes. To do that we will substitute in the formula for "C" the value of x = 323.

Solving the operations we get:

Therefore, the cost is $262.

Answer:

Step-by-step explanation:

We will make use of algebra here.

First of all, we know that the monthly fee will be the same throughout all the months.
So, let's consider that cost to be the yet-to-find constant: [tex]a[/tex].

A charge is accumulated for every minute on the call, so let's consider that minutely charge to be the constant: [tex]b[/tex].

[tex]x[/tex] is the number of minutes spent on the call.
So, the total charge after talking for [tex]x[/tex] minutes would be:

[tex]b \times x\\=bx[/tex]

The monthly cost is the sum of the monthly fee and the total charge.

So, if this is represented mathematically, we get:

[tex]C(x)= a+bx[/tex]

A piece of information that we have is that, after calling for 200 minutes (which means [tex]x=200[/tex]), the monthly cost ( [tex]C(x)[/tex] ) would be $75.

Upon substituting these values in the equation we found above, we get:

[tex]C(x)=a+bx\\\\75=a+200b[/tex]

Similarly, we have another piece of information, which states that calling for 680 minutes ([tex]x=680[/tex]) produced a monthly cost of $195.

Upon substituting these values in the equation we found above, we get:

[tex]C(x)=a+bx\\\\195=a+680b[/tex]

And, thus we have found a system of equations:

 [tex]a+200b=75\\a+680b=195[/tex]

For the first equation, let's make [tex]a[/tex] the subject:

[tex]a+200b=75\\\\a+200b-200b=75-200b\\\\a=75-200b[/tex]

Substitute this expression for [tex]a[/tex] into the second equation:

[tex]a+680b=195\\\\75-200b+680b=195\\\\75+480b=195[/tex]

Find the value of [tex]b[/tex] using this equation:

[tex]75+480b=195\\\\75+480b-75=195-75\\\\480b=120\\\\\frac{480b}{480}=\frac{120}{480}\\\\b=\frac{1}{4}[/tex]

Insert the value for [tex]b[/tex] into the expression for [tex]a[/tex]:

[tex]a=75-200b\\\\a=75-200(\frac{1}{4})\\\\a=75-50\\\\a=25[/tex]

Since we have the values for the constants [tex]a[/tex] and [tex]b[/tex], we can complete the function/equation  [tex]C(x)[/tex]:

[tex]C(x)=a+bx\\\\C(x)=25+\frac{1}{4}x[/tex]

So, the answer for (A) is:

[tex]C(x)=25+\frac{1}{4}x[/tex]

For (B), we have to find the monthly bill/cost ( [tex]C(x)[/tex] ) when 323 minutes have been spent on calling.

So, we just have to substitute [tex]x[/tex] for 323, since [tex]x[/tex] represents the number of minutes spent on calling:

[tex]C(x)=25+\frac{1}{4}x\\\\C(x)=25+\frac{1}{4}(323)\\\\C(x)=25+80.75\\\\C(x)=100.75[/tex]

The answer for (B) is [tex]\$100.75[/tex]

the reflection over the line y=x tells us to swap the points.

Therefore the point (0,-8) becomes (-8,0)

Step-by-step explanation:

3972/41 the answer of this is

=96.87

Answer:

Step-by-step explanation:

k = x+8

c= x+5

j= x+5

3x+18=72

x = 18

Chris = 23

Kieran = 26

Jermaine = 23

Answer:

Chris = 17 goals

Kieran = 25 goals, and

Jermaine = 30 goals

Step-by-step explanation:

Let K, J, and C stand for the goals scored by Kieran, Jermaine, and Chris, respectively.

We learn that:

K = C + 8    [Kieran scored 8 more goals than Chris]

J = K + 5     [Jermaine scored 5 more goals than Kieran]

K + J + C = 72  [Altogether they have scored 72 goals]

-----

We have 3 equations and 3 unknowns.  Therefore, we should be able to find a solution by rearranging and substituting.  

Let's start with K + J + C = 72 and find ways to eliminate two of the three variables.

We can substitute for K since  K = C + 8

K + J + C = 72

(C+8) + J + C = 72

Rearrange:

2C+8 + J  = 72

We can also substitute for J since J = K + 5

2C+8 + J  = 72

2C+8 + (K + 5)  = 72

Again, we can substitute for K since (K = C + 8)

2C+8 + (C+8) + 5  = 72

2C+8 + (C+8) + 5  = 72

3C +21  = 72

3C = 51

C = 17

---

Since C = 17, we can find K with K = C + 8

K = C + 8

K = 17 + 8

K = 25

---

Since K = 25, we can find J with J = K + 5

J = K + 5

J = 25 + 5

J = 30

===

We find:

C (Chris) = 17 goals

K (Kieran) = 25 goals, and

J (Jermaine) = 30 goals

17 + 25 + 30 = 62 total goals.

The quadrilateral in the picture is a square since all four sides are equal.

The angles are all equal and all are right angles.

Clearly, the quadrilateral is a square.

1. The scale is of 1:400,000.

2. The distance between A and B is of 36 km.

3. The diagram with city C is given at the end of the answer.

The scale of a drawing is how much each unit in the drawing represents in actual distance.

In the context of this problem, the scale is given as follows:

1 cm = 4 km

Meaning that each cm drawn represents 4 km of actual distance.

Using the same unit, we have that:

4 km = 4 x 100,000 cm = 400,000 cm.

Hence the scale is given by:

1:400,000.

Measuring on the drawing, the distance between A and B is of 9 cm, hence, applying the scale, the real distance is of:

9 x 4 km = 36 km.

In the diagram, considering the given scale, we want to position city C 3 cm from City A, to the west = to the left.

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Answer:

Step-by-step explanation:

To solve the equation of 7/3x+1/3x=1+5/3x, isolate the term of x from one side of the equation.

First, you subtract by 5/3x from both sides.

[tex]\rightarrow \sf{\dfrac{7}{3}x+\dfrac{1}{3}x-\dfrac{5}{3}x=1+\dfrac{5}{3}x-\dfrac{5}{3}x}[/tex]

Solve.

[tex]\rightarrow \boxed{\sf{x=1}}[/tex]

Therefore, the solution is x=1, which is our answer.

I hope this helps, let me know if you have any questions.

The table that represents a linear function is Table 1. Thus, the correct option is A.

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

We know that, slope m= (y2-y1)/(x2-x1)

Table 1:

Put (x1, y1)=(1, 5) and (x2, y2)=(2, 9) in slope formula

That is, (9-5)/(2-1)

= 4

Similarly, the slope between last two points is (9-5)/(4-1)

=4

Table 2:

Put (x1, y1)=(1, -5) and (x2, y2)=(2, 10) in slope formula

That is, (10+5)/(2-1)

= 15

Similarly, slope between last two points (20+15)/(4-3)

=35

Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.

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In the line, the point B represents the integer -3, because it is 3 units left from 0.

Its opposite is the number 3, that is 3 units right from 0.

Given

Two sets A = (-∞, - 5], B = [5, ∞)

Find

union, AUB

Explanation

Union of two sets A and B is the set of all elements that are present in A or in B

so , here A = (-∞, - 5], B = [5, ∞)

then union of set A and B is given by

Final Answer

Therefore., the union of A and B is (-∞, - 5] U [5, ∞)

Graph is attached below.

Given,

y = 2x - 4

We have to draw a graph according to this

Here,

x E {-2; "-1;" 0; 1; 2}:

Image is attached.

How to draw a graph?

First, label and draw your X and Y axes at a straight angle. Axis Y is vertical, whereas axis X is horizontal. Write the scale for each axis down the line and mark the junction as 0, then draw a line. Calculate the values of Y for various values of X after drawing the axes.

So, the graph is given below.

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Answer: Solve 5x=(2x+3)

Step-by-step explanation:

Answer:

-44.09

Step-by-step explanation:

Trust bro i am passing collage math at 15

Answer:

Step-by-step explanation:

-0.92 2.49

-5.62 9.76

Rise = 9.76 - 2,49 = 7.27

Run: -5.62 - (-0.92) = -4.7

Slope (Rise/Run) = (7.27.`-0.92) = -1.55

The line has the form:

y = 1.55x + b

We need to find a value of b that forces the line through both point, Use one of the points and solve for b. I'll use (-0.92, 2.49).

y = 1.55x + b

2.49 = 1.55(-0.92) + b

b = 2.49 - 1.426 = 1.064

The equation is y = 1.55x + 1.0

2(x -2) = 50 is also true for the same value of x.

Given,

Part 1:

When a cardboard box is empty, its weight is 0.6 pounds.

It is filled with 15 bags of beans and a 4-pound bag of rice.

The total weight of the box and the contents inside it is 25.6 pounds.

Let the weight of 15 bean bags is 15b. The given scenario can be represented by the equation as follows :

0.6+15b+4=25.6 ....(A)

Taking like terms together,

15b=25.6-0.6-4 ...(1)

15b = 21  ....(2)

Equation (1) or (2) can be the equivalent equation for the equation (A).

Part 2:

Solve the equation:

7.5d = 2.5d, Lin divides each side by 2.5d,

and Elena subtracts 2.5d from each side.

Now, 7.5d/2.5d = 2.5d/2.5d

3 = 1

It is not equal, There is no solution.

a. 7.5d - 2.5d = 2.5d - 2.5d

5d/5 = 0/5

b. What is the solution ?

Solution is d = 0

Part 3:

Given,
The equation 4(x - 2) = 100  is a true equation for a particular value of x.

Explanation: The basic property of the equation is that if you multiply or divide both sides of the equation by the non-zero whole , the equation still holds.

In the Equation : 4 (x - 2) =100 divide by 2 on both sides because 2 is common factor of (4,10)

So, 4(x - 2) =100

1/2 x 4(x-2) = 1/2 x 100

= 2(x-2) = 50

Above all, 2(x -2) = 50 is also true for the same value of x.

Hence, 2(x -2) = 50 is also true for the same value of x.

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The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

Given,

The equation is :

p(x) = [tex]4x^3+x^2-24x-6[/tex]

c = -1/4

To find the remaining zeroes of p

Now, According to the question:

[tex]4x^3+x^2-24x-6[/tex]

Apply grouping

[tex](4x^3+x^2)+(-24x-6)=0[/tex]

Factor out common factor

[tex]x^{2} (4x+1)-6(4x+1)=0[/tex]

[tex](x^2-6)(4x+1)=0[/tex]

Apply zero Product Property

4x +1 = 0 or [tex]x^{2} -6=0[/tex]

x = -1/4 or x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex]

Hence, The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

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Answer:

From the question,

The formula for the growth rate will be calculated using the formula below

In,

Given that

Hence,

P1 = 12.6

Also, we will have P2 to be

Hence,

P2 = 17.6

Therefore,

The formula for Pn will be represented below as

The explicit formula for Pn will be

To figure out the values of P9. we will substitute the value of n=9 in the equation below

Hence,

P9 = 185.9

Answer: wut

Step-by-step explanation: wut

The volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

A cylindrical drinking glass has radius 3 cm and height 8 cm.

The volume of a cylinder is 2πr²h

= 2 (3.14) 3² x 8

= 452.16cm³

The jug contains 1.5 litres of water

1 litre = 1000cm³

1.5 litre = 1500cm³

The volume of glass if it is filled upto a horizontal line 2 cm from the top.

volume =  2πr²h

= 2 (3.14) 3² x 6

= 339.12cm³

Number of glasses filled = 1500/339.12 = 4.42

4 glasses can be filled up to the line from the jug

Therefore, the volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

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EXPLANATION

Given the line on the graph, we need to find the slope and the y-intercept.

Considering two ordered pairs, as for instance (x₁,y₁)=(50,-90) and (x₂,y₂)=(80,90)

The slope-equation is:

Replacing terms:

The point-slope form of the line is:

y-y₁= m(x-x₁)

Finally, we need to represent as a point-slope form considering either one ordered pair, as for instance, (x₁,y₁)=(50,-90)

y-(-90) = 6(x-50) [Simplifying terms]

y + 90 = 6(x-50) [ANSWER]

Answer:

2x - 5y

Step-by-step explanation:

Hello!

We can distribute the value outside the parenthesis to the terms inside to simplify the expression.

The simplified expression is 2x - 5y.