What is a way to use the properties of similar triangles to find measurements

Mathematics

1 answer:

muminat3 years ago

8 0

Use proportions and use letters for unknown measurements

You might be interested in

Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o

dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0

3 years ago

Factor x^4+2x^3−2x−1 completely

goblinko [34]

1) Factor out common terms in the first two terms, then in the last two terms
{x}^{3}(x+2)-2(x+2)

2) Factor out the common term x+2
(x+2)({x}^{3}-2)

Done!

5 0

3 years ago

All eleven letters in the word GRASSHOPPER are put in a box. What is the probability of drawing a consonant from the box?

Anna007 [38]

R, h, g, s, and p are all constants, so that would be 8/11, or 72% of a chance of getting a consonant.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

8 0

3 years ago

Solve by factoring:<br><br> 5x^2 + 19x + 12 = 0

Mariulka [41]

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.