HELP ASAP!! PLEASE AND THANK YOU!!!!Given ABCDE ~ LMNOP and CD = 16, DE = 18, and NO = 12, what is OP?

Answers

Answer 1
Answer: ABCDE and LMNOP are similar.
This means that each corresponding side scales by the same amount from one to the other.

AB scales to LM just as BC does to MN...

and CD to NO just as DE does to OP!

Now, let's make a proportion.

NO/CD = OP/DE

12/16 = OP/18

Simplify...

3/4 = OP/18

13.5 = OP

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What's the square root of 68?

Answers

√(68)=√(4\cdot17)=\sqrt4\cdot√(17)=2√(17)\n\n√(68)\approx8.25

A swimming pool can be filled using either a pipe, a hose, or both. Using the pipe alone takes 12 hours. Using both it takes 8(4)/(7) hours. How long does it take using the hose alone?

Answers

(1)/(x)+(1)/(12)=(1)/(8(4)/(7))\n(1)/(x)=(1)/((60)/(7))-(1)/(12)\n(1)/(x)=(7)/(60)-(1)/(12)\n(1)/(x)=(7)/(60)-(5)/(60)\n(1)/(x)=(2)/(60)\n(1)/(x)=(1)/(30)\nx=30

30 hrs

Final answer:

The time it would take to fill the pool using the hose alone is 15 hours. This was calculated using the information given on the time it takes to fill the pool using the hose and the pipe together, and the time it takes to fill the pool using just the pipe, to find the individual rates of filling and then solve for the time for the hose alone.

Explanation:

The subject of this problem is rates, specifically the rate at which the pool is being filled with water. Let's denote the rate of the pool filling with the pipe as P, and the rate of the pool filling with the hose as H. We know that the pool fills in 12 hours with only P, so P = 1/12 pools/hour.

Additionally, we know that it takes 8 4/7 hours to fill the pool with both P and H. So, the rate of P + H = 1/(8 4/7) pools/hour, which simplifies to 7/60.

Given that we know P, we can solve for H by subtracting P from the combined rate. H = P + H - P = 7/60 - 1/12 = 1/15 pools/hour. Therefore, to fill the pool using the hose alone, it will take 1/H = 1/(1/15) = 15 hours.

Learn more about Rates here:

brainly.com/question/30354032

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The world's oldest bride was 19 years older than her groom. Together, their ages totaled 185 years. How old were the bride and the groom?

Answers

(x+19)=x

(x+19)+x= 185
x+x+19=185
2x= 185-19
2x=166
x=83

the oldest bride is x+19
83+19= 102
x = bride age
y = grooms age
\left \{ {{x+y=185} \atop {x=y+19}} \right.  \n (y+19)+y=185 \n y+19+y+185 \n 2y+19=185 \n 2y+19-19=185-19 \n 2y= 166 \n y=83 \n  \n x=y+19 \n x=83+19 \n x= 102
The bride is 102 years old, while the groom is 83 years old.

Describe the location of the point having the following coordinates. positive abscissa, positive ordinate

Answers

The Ordered pair (x,y) represents

→First Ordered pair,that is, x=Abscissa

→Second Ordered pair,that is , y=Ordinate

(+x,+y)=First Quadrant

(-x,+y)=Second Quadrant

(-x,-y)=Third Quadrant

(+x,-y)=Fourth Quadrant

(Positive abscissa, Positive ordinate)=Point will be in First Quadrant

the location of a point with a positive abscissa and a positive ordinate is a point in the first quadrant

The digestive system converts food into needed materials and energy, which builds the body.[True]

or

[False]

Answers

true because it hep build up muscules

Answer:

True

Step-by-step explanation:

This helps build up your system.

Find the reciprocal of the number. Multiply to check your answer. The number is 6. A. 1/6 B. 1 C. 12 D. 36

Answers

The answer is A. Simply because: 6= 6/1 and the reciprocal is 1/6.