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3 years ago

40 points if helped, question is in the picture

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

Step-by-step explanation:

0.484848 =x

x=0.48-------1

100x=48.48-----2

2-1

100x-x =48.48-0.48

99x= 48

x =48/99

$x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33}$

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Segment & Angle Addition Test

Westkost [7]

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3 years ago

Geometry and I need help

Yanka [14]

Answer:

y = 11

Step-by-step explanation:

We use the definition of Supplementary Angles and Adjacent Angles.

Step 1: Set up equation 1 (Definition of Supplementary Angles)

5x - 4 +7x - 8 = 180

Step 2: Solve for x

12x - 4 - 8 = 180

12x - 12 = 180

12x = 192

x = 16

Step 3: Plug in x

5(16) - 4

80 - 4

76°

Step 4: Set up equation 2 (Definition of Supplementary Angles)

76 + 9y + 5 = 180

Step 5: Solve for y

9y + 81 = 180

9y = 99

y = 11

3 0

3 years ago

Read 2 more answers

Cathy recorded the percent of her clothing that is Red, Yellow, Blue, or Orange. The results are shown in the table. If Cathy ha

AleksandrR [38]

There are 145 total pieces . you must first convert 20% to a decimal by placing a decimal point two places from the right. 20% = .20
then you mulitiply 145 x .20 = 29
So, Cathy owns 29 pieces of yellow clothing.

7 0

4 years ago

Read 2 more answers

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = x

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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3 years ago

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The total surface area of a cuboid is 112cm^2. find the value of x. values given: 10cm and 2cm.

Tatiana [17]

Answer:

x= 5.6

Step-by-step explanation:

we will need to put the information we currently have into an equation:

10•2•x= 112

then multiply 10•2 which equals 20...then the equation wil turn out like this:

20•x=112

now you will isolate the x... but how?? dividing 20 by itslef.. cancelling it out, and if you do one thing to the other side of the equation, you have to do it to the other...

20/20•x=112/20

you will end up with x= 122/20

you can use a calculator for this step, but to practice long division... (check the screen shot thingie)

hope this helped !! ^^

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4 years ago