Which statement is an example of the reflexive property of congruence?
A. EFG = EFG
B. If EFG - HJK, then HJK = EFG.
C. If EFG = HJK, and HJK = MNP, then EFG = MNP
D. If EFG = HJK, then HJK = MNP.

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Answer:

55

Step-by-step explanation:

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 10 = 15

10 + 10 + 10 + 10 + 15 = 55

Answer:

Son = 5 years old

Mum = 30 years old

Step-by-step explanation:

Let the Mum be M and the Son be S;

[tex]M + S = 35[/tex] --- Sum

[tex]M - S = 25[/tex] -- Difference

Required

Find M and S (their ages)

Using elimination method; Add both equations to eliminate S

[tex]M + S = 35[/tex]

[tex]M - S = 25[/tex]

----------------

[tex]M + M + S - S = 35 + 25[/tex]

[tex]2M = 60[/tex]

Solve for M

[tex]M = \frac{1}{2} * 60[/tex]

[tex]M = 30[/tex]

Substitute 30 for M in [tex]M + S = 35[/tex]

[tex]30 + S= 35[/tex]

Solve for M

[tex]S = 35 - 30[/tex]

[tex]S = 5[/tex]

Hence:

Son = 5 years old

Mum = 30 years old

Answer:

6 cups

Step-by-step explanation:

Could i have branliest and heart please

THanks and have a good day!

Answer:

6 cups of water

Step-by-step explanation:

If you divide the number of cups of water by the number of cups of sugar then you will find how many cups of water for 1 cup of sugar. So you would do 9/3 which gives you 3. This means that you will have 3 cups of water for 1 cup of sugar. So for two cups of sugar you would just add 3 more cups of water which you give you 6

Answer:

x = 61

Step-by-step explanation:

The angle above the line n adjacent to 2x - 6 is (x + 3) alternate angle.

Adjacent angles are supplementary, thus

2x - 6 + x + 3 = 180, that is

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61

Answer:

Step-by-step explanation:

i think you have to name something in each of the arrows for example gas to solid you would name something that goes from gas to solid

Answer:5/9

Step-by-step explanation:

Answer:

3 mi and [tex]\dfrac{4}{3}[/tex] mi, 1 mi and 4 mi

Step-by-step explanation:

Length of one of rectangles = x

Breadth of one of the rectangles = y

Total enclosed area = [tex]8\ \text{mi}^2[/tex]

Fence available = 16 miles

Total area is given by

[tex]2xy=8\\\Rightarrow y=\dfrac{4}{x}[/tex]

Perimeter of the fence

[tex]2\times 2x+3y=16\\\Rightarrow 4x+3y=16\\\Rightarrow 4x+3\dfrac{4}{x}=16\\\Rightarrow 4x+\dfrac{12}{x}=16\\\Rightarrow 4x^2-16x+12=0\\\Rightarrow x=\frac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\times \:4\times \:12}}{2\times \:4}\\\Rightarrow x=3,1[/tex]

If [tex]x=3[/tex]

[tex]y=\dfrac{4}{x}=\dfrac{4}{3}[/tex]

If [tex]x=1[/tex]

[tex]y=\dfrac{4}{x}=4[/tex]

The possible values of length and breadth are 3 mi and [tex]\dfrac{4}{3}[/tex] mi, 1 mi and 4 mi respectively.

1 meter = 3.28 feet

3 meters x 3.28 = 9.84 feet

5 meters x 3.28 = 16.4 feet.

Area = Length x width

Area = 9.84 x 16.4 = 161.38 square feet.

1 meter = 3.28 feet

3 meters x 3.28 = 9.84 feet

5 meters x 3.28 = 16.4 feet.

Area = Length x width

Area = 9.84 x 16.4 = 161.38 square feet.

Answer:

3:4

Step-by-step explanation:

12:16

divide by 4 on both sides

3:4

can't simplify any further

so therefore the answer is 3:4

Answer:

22,329,40

Step-by-step explanation:

Answer:

22,329,40

Step-by-step explanation:

Answer:

Evaluate for x=82

6(8282)

6(8282)

=5.139100914616739e+157

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

look at the image

Answer:

(-3,7)

Step-by-step explanation:

Answer:

1/3 divided by 3/8 is 8/9

Step-by-step explanation:

The answer is 8/9 because 1/3 multiplied by 8/3 is 8/9

P.S Can I have brainliest?

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{3}{8}[/tex] = [tex]\frac{1}{3}[/tex] x [tex]\frac{8}{3}[/tex] = [tex]\frac{8}{9}[/tex]

Answer:

8m

Step-by-step explanation:

from the pythagoros theorem the height of the wall can be obtained .

Answer:

a= -2     b =4

Step-by-step explanation:

I put it in a calculator and found the answer

Given:

The vertices of ΔJKL are J(-3, -2), K(1, 4), and L(4, 2).

To find:

The coordinate pairs of vertices of [tex]D_5(\Delta JKL)[/tex].

Solution:

We know that, [tex]D_5(\Delta JKL)[/tex] means triangle JKL dilated by scale factor 5 with origin as center of dilation.

If a figure is dilated by factor k and origin is the center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

From the given problem, the rule of dilation is

[tex](x,y)\to (5x,5y)[/tex]

Now,

[tex]J(-3,-2)\to J'(5(-3),5(-2))=J'(-15,-10)[/tex]

[tex]K(1,4)\to K'(5(1),5(4))=K'(5,20)[/tex]

[tex]L(4,2)\to L'(5(4),5(2))=L'(20,10)[/tex]

Therefore, the coordinate pairs of vertices of [tex]D_5(\Delta JKL)[/tex] are J'(-15,-10), K'(5,20) and L'(20,10).

Answer:

J’ = (-15, -10)

K’ = (5, 20)

L’ = (20, 0)

Step-by-step explanation:

Answer:

4 adults

Step-by-step explanation:

Given that:

Capacity of bus :

Number of children = 30

Number of Adult = 24

Comparing the number of adult to children

Number of adults : number of children

24 : 30

4 : 5

If 25 children are already in the bus ; number of adults who can still get in the bus will be ;

Number of children left to reach maximum capacity = (30 - 25) = 5

Number of adults = [(Ratio of adult to children) * Number of children left]

Number of adults = (4/5) * 5 = 20/5 = 4

Hence, 4 adults can still get on the bus

Answer:

1.1

Step-by-step explanation:

[tex] \frac{ \sqrt{121} }{ \sqrt{25} \times \sqrt{4} } = \frac{11}{5 \times 2} = \frac{11}{10} = 1.1[/tex]

Answer:

675,t54328 you are very welcome

Answer:

1) x=35  2) y=98  3) x=49.5

Step-by-step explanation:

I can't take a picture right now, but I'll come back an edit. If you see this, reply or something so that I can easily find it again.

Before I edit and upload a picture of my work basically, you cross multiply then solve them you will 7 by 30 and 6 by x. Write that down 6x=210 (7 x 30) divide by 6 on both sides. you get x=35

multiply 3 and y, and 7 and 42. 3y=294. Divide 3 on both sides and you get y=98.

multiply x and 24, and 44 and 27. You get 24x=1188. divide 24 on both sides and you get x=49.5

Answer:

6 x 340 = 2,040

Step-by-step explanation:

Answer:

2,040

Step-by-step explanation:

times means to multiply so the equation would look like 6 * 340 and if multiplied together then the equation would look like this:

6 * 340 = 2,040

9514 1404 393

Answer:

  9. rhombus

  10. rhombus, rectangle, square

  11. rhombus

Step-by-step explanation:

9, 11. Angles are obviously not 90°, so each figure is a rhombus.

__

10. Line slopes are 1 or -1, so are perpendicular. Side lengths are all the diagonal of 6 squares, so 6√2.

The figure is a rhombus, rectangle, and square.

Answer:

-4 is the slope

Step-by-step explanation:

equation is y=mx + b

m = slope

b= y intercept

Answer:

$2790

Step-by-step explanation:

all you have to do is multiply $62,000 by 4.5% which will give you $2790

Answer: 15.3 miles

Step-by-step explanation:

From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.

We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:

= 15 miles + 0.3 miles

= 15.3 miles

Answer:

-15x+3

Step-by-step explanation:

3(−5+1)

-15x+3

Because you multiply the 3 by -5 and the 3 by 1, then write your equation

Answer:

1 liter of milk

Step-by-step explanation:

10%= 1/10

since the number we are taking 1/10 of is 10, we find one out of ten, which is of course 1.

Answer: 1 liter of milk

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

slope is x= 2

Step-by-step explanation:

slope is second y minus first y over second x minus first x, plug in the numbers and you get 10/5 simply, you get 2

Answer:

I think it is C.

Step-by-step explanation:

If I am correct may I please have brainliest?