Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
H
7.5
G
L
29
K
a
11
E

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

Answer:

693

Step-by-step explanation:

You can simply apply BODMAS(Bracket of Division Multiplication Addition Subtraction)

Here, the brackets come first

62+1=63

63*3=189

189*4=756

756-63=693

Answer:

720

Step-by-step explanation:

First you do the things inside the parenthesis which is 62 + 1 = 63

Which gives you this  -----> 4[ 3 x 63]-36

Then do the brackets (brackets are these btw "[ ]" )

After doing the brackets you should bet this 4 x 189 - 36

Then you do the multiplication -----> 756 - 36

756 - 36 = 720

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

Answer:

[tex]A=141.6\ cm^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]A=2\pi rh[/tex]

For larger cylinder, A = 236 cm² and h = 5 cm

So,

[tex]236=2\pi \times 5\times r\\\\r=\dfrac{236}{10\pi}\\\\r=7.51\ cm[/tex]

Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.

[tex]A=2\pi \times 7.51\times 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2[/tex]

So, the surface area of the smaller cylinder is equal to [tex]141.6\ cm^2[/tex].

Answer:

85

Step-by-step explanation:

i did it and got it right

Answer:

i think it would be A if not then B

Step-by-step explanation:

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

Answer:

E?

Step-by-step explanation:

I'm sorry of this answer is wrong

Step-by-step explanation:

a)

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

b)

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

Answer:

12 outcomes for 3 spins

Step-by-step explanation:

4×3=12

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Answer:

2x+4=2x+7

Step-by-step explanation:

2x+4=2x+7

    -4       -4

   2x=2x+3

  -2x -2x

     0=3

Zero does not equal to 3 so there's no solution

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

Answer:

75 in^2

Step-by-step explanation:

Given data

From the figure

We can see a rectangle and a triangle

The area of the rectangle is

Area= L*W

Area= 13*5

Area= 65 in^2

Area of the triangle

Area= 1/2b*h

Area= 1/2*4*5

Area= 2*5

Area= 10 in^2

Hence the area of the composite figure is

Area= 65+10

Area= 75 in^2