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3 years ago

A triangle has sides with lengths of 8 inches, 15 inches, and 17 inches. Is it a right triangle?

Mathematics

2 answers:

zysi [14]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

Pythageron Theorem:

a^2+b^2=c^2

a and b are the legs, or the 2 shorter lengths. (8 and 15)

c is the hypotenuse, or the longest length (17)

8^2+15^2=17^2

64+225=289

289=289

Since the statement is true, it is a right triangle

Hope this helps! :)

In-s [12.5K]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

A square plus b square equal c square

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Which of the following is a reflection of y = |x|

pishuonlain [190]

The graph of y=|x| would look like graph A

The reflected graph (mirrored image) would be graph D

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2 years ago

The first sequence rule is add 4 starting from 15. The second sequence rule is add 3 starting from 18. What is the first number

Snezhnost [94]

Answer: 27

Step-by-step explanation:

Given

In the first sequence, the first term is $a_1=15$

Common difference is $d_1=4$

In the second sequence, the first term is $b_1=18$

Common difference is $d_2=3$

The nth term of the sequence is $a_n=a+(n-1)d$

for the same number to appear on both sequence, the nth term must be equal

$\Rightarrow 15+(n-1)4=18+(n-1)3\\\Rightarrow 3=(n-1)\\\Rightarrow n=4$

Put n=4

$\Rightarrow 15+(4-1)4\\\Rightarrow 15+12=27$

Therefore, 27 is the first common term in both sequences.

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2 years ago

I need to know where to put the lines

IrinaK [193]

Answer:

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Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26

kramer

<h3>Answer: 17,576,000 </h3>

==================================================

Explanation:

Assuming repeats are possible, we have 26 letters for the first slot, 26 for the second, and 26 for the third. This gives 26^3 = 26*26*26 = 17,576 different plates so far.

Then we have 10 digits to choose from for the fourth slot, 10 for the fifth, and 10 for the six slot. This gives 10*10*10 = 1000 different combos for the numeric digits.

Overall we have 17,576*1000 = 17,576,000 different license plates possible.

-----------

In short, we're computing 26^3*10^3 = 17,576,000

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2 years ago

Read 2 more answers

Pls help me both questions <br>with explanation sum

emmainna [20.7K]

9514 1404 393

Answer:

3) x = 55, y = 123, z = 123

4) x = 276°

Step-by-step explanation:

Angles P and Q are alternate interior angles, so are congruent.

P = Q

3x -42° = 2x +13°

x = 55° . . . . . . . . . . . add 42°-2x

Then Q = 2x +13 = 2(55°) +13° = 123°.

Angles Y, P, Q, and Z are all congruent, so all have the same measure.

Y = Z = 123°

If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.

Large angle POQ is then 360° -84° = 276°

6 0

2 years ago