write an equation for each line in slope intercept form​

Answer:

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.

In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.

The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.

The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.

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Answer:

12

Step-by-step explanation:

8 times 1.5

Answer:

f(x)= -1/2(1-x)^2

replacing x with -5 since -5 was given as the function

f(-5)=-1/2(1-5)^2

according to bodmas we solve what is in the bracket first

f(-5)=-1/2(-4)^2

f(-5)=-1/2(16)

-1/2*16/1

-16/2=-8

Answer:

203,549 !!!

Step-by-step explanation:

Answer:

y=2/7x-4

Step-by-step explanation:

Write in Slope intercept form

y=mx+b

m = slope

b = y intercept

x = x intercept

y = (0,-4)

So,

y = 2/7x+(-4)   substitute

y = 2/7x-4

Answer:

The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

Step-by-step explanation:

Note: The question contains some error. The question is therefore rewritten before is answered as follows:

A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.

The explanation of the answer is therefore given as follows:

Given;

12n > 135 + 4.50 .................... (1)

Where n represents the number of necklace that must be sold by the artist to make a profit.

Solving for n from equation, we have:

12n > 139.50

n > 139.50 / 12

n > 11.625 ..................... (2)

Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.

When the artist sells 15 necklaces, it implies that n = 15.

Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

Answer:

The answer is 3

Step-by-step explanation:

I used the equation y/x. (Use the differences between two rows.)

Answer:

0 or 5/12

Step-by-step explanation:

with everything subtracted its 0 but with only subtracting 1/6 its 5/12

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

Answer:

Yes they are similar because of SAS similarity

Step-by-step explanation:

the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.

ΔTSR ~ ΔFEG by the SAS Similarity Theorem

SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.

In the image given, the two triangles have:

This means they are similar by the SAS Similarity Theorem.

Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.

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Answer: 113

Step-by-step explanation:

47+66=x

113=x

Answer:

3 cakes

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

The real answer is 3.8 but since you cannot make .8 of a cake the answer is 3.

Answer:

(x - 1, y + 1 )

Step-by-step explanation:

Consider the reflection in the y- axis

A point (x, y ) → (- x, y )

Consider the reflection of point A

A(- 5, 2 ) → A'(5, 2 )

Now A → E after the transformations

E = (4, 3 ), thus

A'(5, 2 ) → E(4, 3 )

(x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )

The translation rule is (x, y ) → (x - 1, y + 1 ).

In mathematics, translation is a transformation that moves every point of a figure or a graph the same distance and in the same direction. The object being translated retains its size and shape, but its position changes.

Consider the reflection in the y- axis

A point (x, y ) → (- x, y )

Consider the reflection of point A

A(- 5, 2 ) → A'(5, 2 )

Now A → E after the transformations

E = (4, 3 ), then

A'(5, 2 ) → E(4, 3 )

Thus, the translation rule is (x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )

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Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Let quarters be x and nickels be y.

Equations based on given, 48 coins, total of $6 = 600c:

Substitute y in the second equation, y = 48 - x

Then value of y is:

2) Similarly to problem 1.

Substitution: y= 20 - x

Then finding y:

Answer:

36 ounces

Step-by-step explanation:

9 x 4 = 36

Answer:

2

Step-by-step explanation:

Answer:

Explanatory Variable is the right answer it is the variaable being manipulated and observed.

Step-by-step explanation:

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

Answer: it 2790

Step-by-step explanation:

The value of 5,860÷2.1 is 2790.

In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.

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Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

∴ x1 = -6 and y1 = 5

∴ x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

∴ The slope of the given line is -4

Answer:

Undefined the slope is a slope line

Step-by-step explanation:

It is horizontal straight across

Answer:

Approximately the volume of cone-shaped container is 393 in³.

Step-by-step explanation:

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation: