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3 years ago

a 24 foot tall tree cast a 30 foot long. a 4 foot tall child is standing nearby how long is the child's shadow

Mathematics

2 answers:

kotykmax [81]3 years ago

7 0

You put it in a ratio so it's 24/30 = x/4 so the answer is 3.2 feet

Semmy [17]3 years ago

5 0

If a 24 foot tall tree cast a 30 foot long shadow, then the ratio of that is 4:5.
So, for the 4 foot tall child, multiply by 4/5 (0.8) and you get 3.2.

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The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.

Daniel [21]

Answer:

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n + n+2 =180

2n +2 =180

Subtract 2 on both sides:

2n =178

Divide both sides by 2:

n =178/2

Simplify right hand side:

n =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers? Yep.

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0

3 years ago

Read 2 more answers

Which of the following steps indicates the addition property of equality while solving the equation –1 – 6x = x – 15? Question 4

den301095 [7]

Answer:

B) -1-6 x +15 = x - 15 +15

Step-by-step explanation:

Explanation:-

Given equation is –1 – 6 x = x – 15

By addition property of equality

⇒ - 1 - 6 x + 15 = x - 15 +15

⇒ - 6 x + 14 = x

subtracting 'x' on both sides ,we get

⇒ - 6 x -x +14 =0

⇒ - 7 x +14 =0

⇒ -7 x = - 14

Dividing '-7' on both sides , we get

x = 2

The solution of given equation is x = 2

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Inga [223]

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

$5x-y+150=180$ ...........(1)

$5x-y=180-150$

$5x-y=30$ ............(2)

$5x+y+130=180$ ...........(3)

$5x+y=180-130$

$5x+y=50$ ...........(4)

Now we adding equation 2 and 4, we get the value of x.

$5x-y+5x+y=30+50$

$10x=80$

$x=8$

Now we are putting the value of x in 4, we get the value of y.

$5x+y=50$

$5(8)+y=50$

$y=50-40$

$y=10$

Therefore, the value of x and y is 8 and 10 respectively.

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Step-by-step explanation:

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