identify the construction that the figure represents

Answer:

Step-by-step explanation:

If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.

  LG/MH = 12.5/10 = 1.25

  GN/HN = 40/32 = 1.25 . . . . so the triangles are similar

__

The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.

Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Answer:

The slope = 3

Step-by-step explanation:

The points are:

( 1, 2 ) = x₁ , y₁

( 3, 8 ) = x₂ , y₂

The slope is calculates as follows:

slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]

Answer: The slope of the line is 3

Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps  

Answer:

0•044 is the correct answer

Answer:

0.044

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps ☆☆☆

Answer:

A. She can buy 8 pizzas; B. At least 6 pizzas.

Step-by-step explanation:

Since Grace has $105, we can set our inequality to be less than or equal to that amount of money.  We also know she needs to spend $25 on the cake no matter what.  Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:

9.25x + 25 ≤ 105

To solve this inequality, we first subtract 25 from both sides, which gives us:

9.25x ≤ 80

Then we divide by 9.25 on both sides, giving us:

x ≤ 8.6486

Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.

If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people.  We can use this inequality, where x is still the number of pizzas.

4x ≥ 22

Dividing both sides by 4, we get:

x ≥ 5.5

Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.

3) 1010000

4) 1582

I helped

Answer:

In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.

Step-by-step explanation:

:3

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

Learn more here:

https://brainly.com/question/17627037

[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]

ok done. thank to me :>

Answer:

Triangle I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangle

Answer:

16

Step-by-step explanation:

2 + 3 + 4 = 9

36/9 = 4

2 · 4 = 8

3 · 4 = 12

4 · 4 = 16

Answer:

O.3 pound

Step-by-step explanation:

1.20/4=0.3 pound

Answer:

1.20 divided 4 = 0.3

One pencil costs £0.3

Step-by-step explanation:

Answer:

12. y=30x+45

13. 135 dollars

    y=45+30(3)

    y=45+90

    y=135 dollars

14. 8 full hours

    300=45+30x

    255=30x

    x = 8.5 or 8 full hours

Answer:

-1/6

Step-by-step explanation:

(2/3-1)/2

(-1/3)/2

-1/6

Answer:

X = 2/3 and Y = 3

Step-by-step explanation:

Matrix: 3 -1 -1

-3 5 13

Main determinant:

| 3 -1 |

| -3 5| = 12

Dx: |-1 -1|

|13. 5| = 8

X = 8/12 = 2/3

Determinant y:

|3 -1|

|-3 13| = 36

Y = 36/12 = 3

Answer:

no 146.5 > 145

Step-by-step explanation:

Answer:

12/16 9/12

3/4

Step-by-step explanation:

12/16 = 15/20 = 9/12

scale factor = 3/4

Answer:

The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].

the scale factor is [tex]\frac{3}{4}[/tex].

Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.

Answer:

C

Step-by-step explanation:

Answer:

Answer:

[tex]3 \frac{3}{7} \\ = \frac{24}{7} \\ [/tex]

[tex]The \: reciprocal \: of \: \frac{24}{7} = \frac{7}{21} .[/tex]

Answer:

-3 ≤ x ≤ 0

Step-by-step explanation:

2x + 3 ≤ 3

2x ≤ 0

x ≤ 0

-2x - 3 ≤ 3

-2x ≤ 6

x ≥ -3

Answer:

Step-by-step explanation:

Equation of the line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=4x+4[/tex]

Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

Answer:

Step-by-step explanation: