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First, second and fourth options are true about triangle XYZ.

XY measures [tex]\sqrt{26}[/tex] units.

YZ measures [tex]\sqrt{52}[/tex] units.

ZX measures [tex]\sqrt{26}[/tex] units.

XYZ is a right triangle.

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given X (-1, 5), Y (4, 4), Z (-2, 0)

Distance between two points D = [tex]\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}}[/tex]

|XY| = [tex]\sqrt{(4-5)^{2} +(4+1)^{2} } =\sqrt{1^{2}+5^{2} } =\sqrt{26}[/tex]

|YZ| = [tex]\sqrt{(0-4)^{2} +(-2-4)^{2} } =\sqrt{4^{2}+6^{2} } =\sqrt{52}[/tex]

|XZ| = [tex]\sqrt{(0-5)^{2} +(-2+1)^{2} } =\sqrt{5^{2}+1^{2} } =\sqrt{26}[/tex]

[tex]|XY|^{2} +|XZ|^{2} =|YZ|^{2}[/tex]

So, XYZ is a right triangle.

So, the first, second and fourth options are correct.

Find out more information about right triangle here

https://brainly.com/question/6322314

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Answer: a and d

Step-by-step explanation:

edge

Answer:

[tex]256[/tex]

Step-by-step explanation:

[tex]We\ observe\ that,\\For\ every\ number\ n\ in\ the\ sequence, the\ number\ next\ to\ it\ is\ 4n.\\Hence,\\In\ order\ to\ continue\ the\ sequence:\\1,4,16,64,256[/tex]

Answer:

1, 4, 16, 64, 256

Step-by-step explanation:

The sequence follows the rule: n * 4

1 * 4 = 4

4 * 4 = 16

16 * 4 = 64

Multiply 64 by 4.

64 * 4 = 256

Hope this helps.

Answer:

C. 3a + 2

Step-by-step explanation:

brainiest plz

Answer:

-5

Step-by-step explanation:

5-(-5)/3-5=10/-2=-5

(can I get brainliest please)

Answer:

hmm its would be o

Step-by-step explanation:

its O

Answer:

720

Step-by-step explanation:

To solve a problem like this, you do: !6

This basically means 6*5*4*3*2*1

6*5 = 30

30*4=120

120*3=360

360*2=720

720*1=720

Answer:

15

Step-by-step explanation:

18/3=6

15/3=5

Answer:

15

Step-by-step explanation:

If the ratio is 6:5 and we know the boys are 18, we have 18:?

18/6=3, so we have to do 5*3. 5*3=15.

The ratio is 18:15, the number of girls in the classroom is 15

Answer:

its 10^3 power or 1000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sin^4x-\sin^2x=\cos^4x-\cos^2x\\\\Ls=\sin^2x(\sin^2x-1)=-\sin^2x(1-\sin^2x)=-\sin^2x\cos^2x\\\\Rs=\cos^2x(\cos^2x-1)=-\cos^2x(1-\cos^2x)=-\cos^2x\sin^2x\\\\Ls=Rs\\\\\text{used}\\\\a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}\ a(b+c)=ab+ac\\\\\sin^2x+\cos^2x=1\to \sin^2x=1-\cos^2x\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x}[/tex]

Answer:

Step-by-step explanation:

4 feet = 48 inches, add 10 inches  = 58 inches

if susan is 15 inches shorter, 58- 15 = 43

43/12 = 3 feet 5 inches

Answer:

f^-1(x) = 1/4 x - 5/4

Step-by-step explanation:

f(x) = 4x + 5

y = 4x + 5

x = 4y + 5

4y = x - 5

y = 1/4 x - 5/4

f^-1(x) = 1/4 x - 5/4

Answer:

David has 7h hats

Step-by-step explanation:

Daryl: 7

David: 7h

Answer:

normal distribution can be used to model the sample proportions

Step-by-step explanation:

N ( sample size ) = 100

probability of earning high school diploma (p)  = 0.87

probability of not earning high school diploma ( q ) = 0.13

hence ;

∈( P ) = p = 0.87

Var ( p ) = [tex]\frac{pq}{n}[/tex]  = [tex]\frac{0.86 * 0.13 }{100}[/tex]  = 0.001131

therefore ; p ~ N = ( 0.87 , 0.001131 )

Answer: c

Step-by-step explanation:

First find 2 points like say

(0,3) and (1,-2)

now find the slope

3-(-2)/0-1 = -5

the y intercept is already known so the equation is y=-5x+3

Answer:

B. Obtuse angle

Step-by-step explanation:

Remember that a right angle is 90 degrees and would be like the edge of a square or rectangle going completely vertical. An obtuse angle is larger than 90 degrees so the vertex or point where both lines connect would have both lines farther apart. An acute angle is smaller than a 90-degree angle and is closer to touching the lines (a tip for remembering acute angles could be "a-cute angle" or a smaller cute angle). Hope this helps!

Answer:

ommmm I have no idea Butt 1 of my fav numb is 17 so pick that

Answer: 2,3,5

Step-by-step explanation:

Answer:

Alternate Interior Angles

Answer:

a

Step-by-step explanation:

Answer:

I think it's IH, IJ, JK, HJ, IK.

first one

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

the other right triangle is 3-4-5. so, 3*4/2=6

4*6/2=12

6+12=18

give brainliest pls

Answer:

816 T-shirts

Step-by-step explanation:

16 boxes * 17 shirts = 272 shirts total in 16 boxes

272 shirts * 3 orders = 816 shirts

Answer:

237.5 calories

Step-by-step explanation:

One serving has 95

so 2.5 serving has

2.5×95= 237.5

Plz mark brainliest

thanks

Answer:

k=-63

Step-by-step explanation:

multiply both sides by -9

k=7*-9

k=-63

Answer:

-63

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.  k= -63

-9 x 7 = -63

Answer:

You can buy 6 because it cost 2.50 for 1 loaf

Step-by-step explanation:

Answer:

$450.24

Step-by-step explanation:

According to my quiz...

the distance of X is 180ft

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

Answer:

B

Step-by-step explanation:

[tex]sin ~26^\circ=\frac{x}{10}[/tex]

Answer:

sin 26 = x/10

Step-by-step explanation: