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Pie
2 years ago
10

What is the length of leg y of the right triangle?

Mathematics
2 answers:
lesya692 [45]2 years ago
5 0

Answer:

y = 13

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² + 84² = 85²

y² + 7056 = 7225 ( subtract 7056 from both sides )

y² = 169 ( take the square root of both sides )

y = \sqrt{169} = 13

xz_007 [3.2K]2 years ago
4 0

Answer:

13

Step-by-step explanation:

We need to use the Pythagorean Theorem to solve this problem:

a^{2} +b^{2} = c^{2} , where a and b are the legs of the right triangle and c is the hypotenuse

In this case, we already know b (b = 84) and c (c = 85), so we need to solve for a:

a^{2} = c^{2} - b^{2} = 85^{2} - 84^{2} = 169 = 13^{2}

Thus, a = y = 13.

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uppose that we have collected information on how much a sample of households spend on clothing per year. If we are 90% confident
Verizon [17]

Answer:

the chance that the population mean will either be less than $1,500 or above $2,100 is 10%

Step-by-step explanation:

We are 90% confident that the true population mean willl be between $1,500 and $2,100

This means that there is a 90% probability that the true population mean will be between $1,500 and $2,100.

So 100-90 = 10% probability that it is outside of this interval, that is, either be less than $1,500 or above $2,100.

So the correct answer is:

the chance that the population mean will either be less than $1,500 or above $2,100 is 10%

5 0
2 years ago
Least to greatest 0.4, 5/8, 74%, 3/5
SashulF [63]

Answer:

0.4,3/5,5/8,74%

Step-by-step explanation:

Change them all into decimals.

Get 0.4,0.625,0.74,0.6

Then reorder and see what their original values were

5 0
3 years ago
4 students equally share 2/3 of a pizza
oee [108]

\frac{2}{3} *4

=\frac{2*4}{3}

=\frac{8}{3}

2.67 or 2 \frac{2}{3}

6 0
3 years ago
Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ
Alex777 [14]

Answer:

By AA

ΔWXY ~ΔWVZ

Step-by-step explanation:

Here WXY is an isosceles triangle with legs WX & WY

So WX = WY

Hence ∠X = ∠Y

So ∠2= ∠3.

Now by angle sum property

∠1 + ∠2+∠3 = 180°

∠1+∠2+∠2=180°

2∠2 = 180° - ∠1     .......(1)

In triangle WVZ

WV = WZ

So ∠V = ∠Z

∠4 = ∠5

Once again by angle sum property

∠1 + ∠4 + ∠5=180°

∠1 + ∠4 + ∠4 = 180°

2∠4 = 180° - ∠1       ...(2)

From (1) & (2)

2∠2 = 2∠4

∠2=∠4

Now ∠W is common to both triangles

Hence by AA

ΔWXY ~ΔWVZ

8 0
3 years ago
Read 2 more answers
Simplify 3(2f+6)+7<br><br><br><br><br><br><br><br>thanks
Naya [18.7K]

{Expand} 3(2f+6): 6f+18

6f+18+7

18+7=25

= 6f+25

4 0
3 years ago
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