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3 years ago

How Do I do proofs for proving triangles?

1 answer:

4 0

You must have been taught postulates and theorems that allow you to prove triangles congruent, such as SSS, SAS, ASA, etc. Look at the given information of a proof, and see how from the given information, using definitions, postulates, and theorems you have already learned, you can show pairs of corresponding sides and angles to be congruent that will fit into the above methods. Then use one of the methods to prove the triangles congruent.

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Sam is tiling a floor. He will use the same repeating pattern for the entire floor. The rule is "Blue Tile, White Tile, Black Ti

snow_lady [41]

If he uses 85 tiles, 28 tiles will be black

<h3>Sequence and Pattern</h3>

The formation of the tiles of the floor follows an arithmetic sequence or pattern

The pattern is given as:

Blue
White
Black

<h3>Formation of the tiles</h3>

Given that the total number of tile used is 85, and the black tile is always in the third position.

The highest number less than or equal to 85 that is divisible by 3 is 84.

Next, we divide 84 by 4

$n = \frac{84}{3}$

$n = 28$

Hence, 28 of the tiles will be black

Read more about sequence and patterns at:

brainly.com/question/15590116

8 0

3 years ago

A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos

vova2212 [387]

Answer:

36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

w(52 -w) = 576

w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

w² -52w +26² = 26² -576 . . . . . . complete the square

(w -26)² = 676 -576 = 100

w = 26 ±√100 = {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0

3 years ago

X = 1/4 y = 2/3 z = 4 1/5

r-ruslan [8.4K]

The answer is 7/10 (or .7 in decimal form)

8 0

3 years ago

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...

PilotLPTM [1.2K]

Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

$S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots$
$S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)$

We can then find the exact value of the sum:

$\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)$

$\impliesS-\dfrac23S=\dfrac13$
$\implies\dfrac13S=\dfrac13$
$\implies S=1$

So the answer is B.

8 0

3 years ago

Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy s

leonid [27]

The maximum profit would be $1325. Since they make less profit on deluxe seats, you want to get as few of those as possible. You also want to get as many people on the boat as possible, which is 45. The minimum number of deluxe seats you could sell is 5, so that's what we'll use for the max. profit. They make $25 off of each of those seats so 5 times $25 is $125. That leaves 40 economy seats, with a profit of $30 per seat. You have 40 spots left open, so we'll sell 40 economy seats, which will meet your minimum of 14 economy seats. 40 times $30 is $1200. Add $125 and $1200 to get $1325 and you have your maximum profit!

4 0

3 years ago