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3 years ago

Find the missing length. If needed, round to the nearest tenth.

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Line DE is parallel to line AG.

Also, triangle ABG is similar to triangle to triangle DBE.

Therefore,

AB/DB = GB/EB = AG/DE

AB = 5 + 6 = 11

GB = 9 + x

Therefore,

11/6 = (9 + x)/9

Cross multiplying, it becomes

11 × 9 = 6(9 + x)

99 = 54 + 6x

Subtracting 54 from the Left hand side and the right hand side of the equation, it becomes

54 - 54 + 6x = 99 - 54

6x = 45

Dividing the Left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 45/6

x = 7.5

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.002 is 1/10 of what

amid [387]

Let the unknown number be x. Then (1/10)x = 0.002. To solve for x, multiply both sides by 1000 to remove the decimal fraction 0.002.

Then 1000(1/10)x = 1000(0.002), or 100x = 2. Dividing both sides by x returns

x=100/2, or x= 50 (answer)

5 0

3 years ago

The world population in 2013 was about 7.125 billion. In 2003, it was about 6.357 billion. Which number represents the increase

Makovka662 [10]

Answer:

7.68 × 108

Step-by-step explanation:

World population in 2013 was about 7.125 billion

In 2003 , it was about 6.357 billion

Increase = 2013 population- 2003 population

That’s 7.125 billion - 6.357 billion = 0.768 billion

A billion has 9 zeros. When you move The point one place to the right , it reduces the number of zeros by one. you now have

7.68 x 10^8

5 0

3 years ago

What percent is 300 of 1l

shusha [124]

Answer:

30%

Step-by-step explanation:

1L = 1000ml

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

100%-> 1000

1%-> 10

300 ÷ 10 = 30%

7 0

3 years ago

Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation

Firdavs [7]

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

7 0

3 years ago

Max measures the diagonal of a square room to be 32feet find the perimeter and area of the room round answers to the nearest ten

Rasek [7]

Hello!

To find the side length of a square with the diagonal you use the equation

$a = \sqrt{2} \frac{d}{2}$

a is side length
d is diagonal length

Put in the values you know

$a = \sqrt{2} * \frac{32}{2}$

Divide

$a = \sqrt{2} * 16$

Multiply

a = 22.6

All the sides are 22.6 feet

Add all the sides

22.6 + 22.6 + 22.6 + 22.6 = 90.4

The answer is 90.4

Hope this helps!

3 0

3 years ago