Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.

Answer:-

900

Verification:-

[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]

Answer:

a) 100

→ [tex]\frac{100}{5}[/tex] = 20

→ [tex]\frac{100}{10}[/tex] = 10

→ [tex]\frac{100}{15}[/tex] = 6⅔

100 is not divisible by 15

b) 625

→ [tex]\frac{625}{5}[/tex] = 125

→ [tex]\frac{625}{10}[/tex] = 62.5

→ [tex]\frac{625}{15}[/tex] = 41.6

625 is not divisible by 10 and 15.

c) 900

→ [tex]\frac{900}{5}[/tex] = 180

→ [tex]\frac{900}{10}[/tex] = 90

→ [tex]\frac{900}{15}[/tex] = 60

900 is the correct answer.

d) 225

→ [tex]\frac{225}{5}[/tex] = 45

→ [tex]\frac{225}{10}[/tex] = 22.5

→ [tex]\frac{225}{15}[/tex] = 15

225 is not divisible by 15

900 is the correct answer.

Transformation involves changing the position of a shape.

The complete statement is:

There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.

From the question, we understand that:

[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]

This mean that, the following 6 statements can be used as the congruent statements

[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]

[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]

[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]

[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]

[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]

[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]

A triangle has 3 sides, and there are 2 triangles in the question.

The number (n) of congruence statements is:

[tex]\mathbf{n = 3^2 = 9}[/tex]

The remaining (r) number of congruent statement is:

[tex]\mathbf{r = 9 - 6 = 3}[/tex]

So, the blanks should be completed with 3 and 9

Read more about congruent triangles at:

https://brainly.com/question/12413243

Answer:

4.4

Step-by-step explanation:

Answer:

but if it was x>1 it would be less equal to

Step-by-step explanation:

x < 1 is greater than

Answer:

Step-by-step explanation:

∠5 = ∠1             {Alternate exterior angles are congruent}

8x - 19 = 7x - 3

Add 19 to both sides

8x = 7x - 3 + 19

8x = 7x + 16

Subtract 7x from both sides

8x - 7x = 16

   x = 16

∠5 = 8x - 19

    = 8*16 - 19

    = 128 - 19

 ∠5 = 109

∠5 + ∠4 = 180     {linear pair]

109 + ∠4 = 180

         ∠4 = 180 - 109

∠4 = 71°

Answer:

The total cost will then be $17.5

Answer:

17.5 dollars

Step-by-step explanation:

Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5

The polygon is 5 units in length and not 4

so using the given formula P = 2l + 2w

(2 x 5) + (2 x 3)

10 + 6

= 16 units

Answer:

Step-by-step explanation:

20.29 :)

Answer:

<R=56 degrees; <Q=62 degrees; <S=62 degrees

Step-by-step explanation:

5x+12=4x+22 (This is because the two angles are congruent to each other.)

x+12=22

x=10

Now, plug it in.

5(10)+12=50+12=62 degrees

62(2)=124 degrees (This is because the two angles are congruent and equal)

180-124=56 degrees

Answer:

5/6, 6/7, 7/8

Step-by-step explanation:

The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.

Hope that helps

Answer:

A. Rational number

Step-by-step explanation:

If you add both 69 and 31 it will give you 100. The square root of 100 is 10 and therefore it is a rational number

Step-by-step explanation:

you must have left out important pieces of the equation.

what I can see and therefore solve is

-G + 2 = -12

-G = -14

G = 14

Answer:

100

Step-by-step explanation:

1/4 of 100 is 25. 25-3=22, which is at least 2.

25.5

Step-by-step explanation:

The way to do this is:

80 * 3.14 equals to roughly 25.5

Answer:

5/16

Step-by-step explanation:

you can't split 5 in half, so you need to multiply the fraction to make it so you can split it in half. Multiply the equation by 2

5/8 * 2=10/16

now you can divide it by two to get 5/16

Hope this helps!

Answer:

-4  3/5

Step-by-step explanation:

3 2/5 + -7 1/5 = (3 - 7) + (2/5 + 1/5) = -4 3/5

Answer:

Convert the inequality to interval notation.

(-∞, 0) ∪ (7, ∞)

Answer:

Okay.........so what's the problem???

Answer:

Graeme should get 3 boxes

Step-by-step explanation:

hope this helped!

you got this dont ever give up all of you are so so smart!!

Answer:

80

Step-by-step explanation:

20% of 400 is

= 20/100 * 400

= 80

Answer:

266

Step-by-step explanation:

Answer:

it's 266! have a great day :)

Answer:

y=1

Step-by-step explanation:

The line is hoizonatal so the slope would be undefined and the y intercept would be 1

Answer:

28.1 units

Step-by-step explanation:

Area of circle= πr², where r is the radius.

Given that the area is 20π,

20π= πr²

Divide both sides by π:

20= r²

Square root both sides:

[tex]r = \sqrt{20} [/tex]

[tex]r = \sqrt{4(5)} [/tex]

[tex]r = ( \sqrt{4} )( \sqrt{5} )[/tex]

[tex]r = 2 \sqrt{5} [/tex]

Circumference of circle= 2πr

Substitute the value of r:

Circumference of the circle

[tex] = 2(\pi)( 2\sqrt{5} )[/tex]

[tex] = 4\pi \sqrt{5} [/tex]

= 28.1 units (3 s.f.)

Answer:

31

Step-by-step explanation:

5x^2 + 2(4x - 7) - 8x =

5 * 3^2 + 2(4*3 -7) - 8*3 =

5 * 9 + 2(12-7) - 24 =

45 + 2 * 5 - 24 =

45 + 10 - 24 =

55 - 24 =

31

Answer:

1982.33 pounds

Step-by-step explanation:

If they all weigh the same amount then you can figure it out by division.

11894/6=1982.33

Answer:

TO find out how much each elephant weighs you simply have to do 11, 894 divided by 6. Since the answer is a decimal (1982.33333333), I would just round it to the nearest tenth as it dosent specify where we have to round it to. SO, 1982.33333333 rounded to the nearest tenth is 1982.3

Step-by-step explanation:

I hope this helps, if you are having a tough time with math use:

khan academy

math nation

and other free sites!

Answer:

1: -6m,

2: 10.3-12m,

3: 28a-7,

4: 5/8h+7

Step-by-step explanation:

so, a helpful thing with these, is to add like terms. with #4, we see that the letter m is with both of the numbers, and since we are adding a bigger negative to a positive, the answer will be a negative with the number. for 6, 2 numbers have an x, and 2 do not. so we add or subtract the like pairs, as in the ones with the letters, and then a separate one for the one with no letters. for the last one, you always want to have a "common denominator" which is the number on the bottom. because 8 is already on the bottom, and 4 is divisible by 8 by 2, we inversely multiply the top and bottom numbers for the "3/4" and would get "6/8" to match the bottom denominator for "1/8" hope this helps

Answer:

A, D, & E

Step-by-step explanation:

If you plug in the coordinates, they prove to be valid

(0, -1)

2(0) - 1

0 - 1 = -1

(15, 29)

2(15) - 1

30 - 1 = 29

(2, 3)

2(2) - 1

4 - 1 = 3

(-0.5, -2)

2(-0.5) - 1

-1 - 1 = -2

And so on. Just plug them in and see if it is correct.