A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the
triangle? Explain your reasoning.

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

[tex]\mathbf{BE = 1.8}[/tex]

[tex]\mathbf{CD = 9}[/tex]

[tex]\mathbf{BC = 1.7}[/tex]

From the question (see attachment), we have the following observations:

So, the equivalent ratio is:

[tex]\mathbf{AB:BE =AC:CD }[/tex]

Substitute known values

[tex]\mathbf{AB:1.8 =AC:9 }[/tex]

Express as fractions

[tex]\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }[/tex]

Multiply both sides by 1.8

[tex]\mathbf{AB =\frac{AC}{5} }[/tex]

AC = AB + BC

So, we have:

[tex]\mathbf{AB =\frac{AB + BC}{5} }[/tex]

Substitute 1.7 for BC

[tex]\mathbf{AB =\frac{AB + 1.7}{5} }[/tex]

Multiply through by 5

[tex]\mathbf{5AB =AB + 1.7}[/tex]

Collect like terms

[tex]\mathbf{5AB -AB =1.7}[/tex]

[tex]\mathbf{4AB =1.7}[/tex]

Divide both sides by 4

[tex]\mathbf{AB=0.425}[/tex]

Approximate

[tex]\mathbf{AB=0.43}[/tex]

Hence, the length of AB is 0.43

Read more about similar shapes at:

https://brainly.com/question/20536565

84% of the seats in the theater are not broken.

Answer:

84%

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Long division or synthetic division. Look up these two techniniques.

Answer:

Below in bold.

Step-by-step explanation:

2x + 20 > 4x         ( as triangle WXY is a right triangle and the longest side's length ( the hypotenuse) is 2x + 20.

2x + 20  > 4x

20 > 2x

x < 10.

Step-by-step explanation:

first of all, g(x) has only negative functional result values (y) except for 0.

and a square is always positive.

so, the only possible right answers are the ones that include a minus ("-") sign.

the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).

so, which equation turns an x = 1 into an y = -3 ?

therefore, the right answer must be D.

g(x) = -3x²

it works for both points :

-3 = -3×1² = -3 correct

-3 = -3×(-1)² = -3×1 = -3 correct

Answer:

the answer is: y= -x²+6x+2

Answer:

You have to add -its easier to add up and down so you can see it more visibly-

Step-by-step explanation:

    1

 8.290

+6.673

 14.963

Hope this helps! Have a great day!!

Answer:

Step-by-step explanation:

a. Plane C has the slowest rate of descending.

b. Place D has begun to descend from the highest altitude.

The equation of a line in slope intercept form is y = mx + b where the slope is m and the y-intercept is b.

The altitude of four planes is represented by y after 6 minutes and t represents time in minutes.

To determine which plane is descending at the slowest rate we have to look for a slope in these four equations which is the least steep or which modulus value is the least.

If we take the modulus of all four slopes 200 is the least value.

∴ Plane C has the least descending rate.

To determine which plane starts descending from the highest altitude we look for the value of y-intercept which is the largest among them and that is plane D.

learn more about slope here :

https://brainly.com/question/3605446

#SPJ2

Answer:

Village Market

Step-by-step explanation:

for this question we need to find the unit rate (the rate for one of something).

in this case, we need to find the cost of one can at each store so we can

easily compare the cost to see which one is cheaper

it would be (total cost)/(total number of cans)

Village Market = $2.7/5 = .54 cents per can

Sam's Club = $6.5/10 = .65 cents per can

Since Village Market has a cheaper price per can, it is the better buy.

Answer:

Village Market

Step-by-step explanation:

10 cans at the Village Market is = to $5.40.

But at Sam's Club 10 cans cost $6.50 witch is $1.10 more money your paying when u can save it.

Answer:

69 degrees

Step-by-step explanation:

m is a point, if your trying to find lkh, is 69

lkm=111, and jkl=180, so 180-111=jkm

jkm=69

angles that are diagonal from each other are the same degree

lkh=69

hope this helps, if not see me in the commnets

HOPE THIS HELPS, BRAINLIEST PLEASE

Answer:

m < LKH = 69°

Step-by-step explanation:

Given that m < LKM = 111° and that:

<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:

Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.

Therefore, we can establish the following equation:

m < LKM + m < LKH = 180°

111° + m <LKH = 180°

Subtract 111° from both sides to solve for m < LKH:

111° - 111° + m <LKH = 180° - 111°

m < LKH = 69°

Therefore, the measure of < LKH is 69°.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

Answer:

400 mph

Step-by-step explanation:

1200/3 = 400 miles per hour

Answer:

im not sure if my answer is correct

Answer:

13th Amendment- C

14th Amendment- A

15th Amendment- B

Step-by-step explanation:

Answer:

13th C

14th A

15th B

Step-by-step explanation:

You have to think of it in events in order. Slaves can't vote until they're free, so the thirteenth amendment gets rid of slavery. It wouldn't make sense if slaves could vote without other freedoms, so freedoms come first. 14th is B for this reason. Lastly, the fifteenth amendment grants African American men to vote years down the road (women weren't allowed to vote yet at all, so the African American females also didn't have this right)

Answer:

28 girls

18 boys

Step-by-step explanation:

46-10=36

36÷2=18

18+10=28

Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

→ x + x + 4 = 50

→ 2x + 4 = 50

→ 2x = 50 - 4 = 46

→ x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

=>

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.

Answer:

[tex]\frac{{5}}{w^{2}}[/tex]

Step-by-step explanation:

We begin with [tex]\frac{15w^{4}v^{5}}{3w^{6}v^{5}}[/tex].

Firstly, as with simplifying fractions we can simplify the numbers. 15 is divisible by 3, so this becomes [tex]\frac{5w^{4}v^{5}}{w^{6}v^{5}}[/tex].

To simplify indices (aka exponents or powers), we must subtract the power on the denominator from the matching one on the numerator, and then use that number as the power in the numerator. In this case, 4-6 and 5-5, which becomes -2 and 0.

So now we have [tex]\frac{5w^{-2}v^{0}}{1}[/tex].

For a negative power, we switch it into the other half (numerator to denominator) and take away the negative sign, leaving [tex]\frac{5v^{0}}{1w^{2}}[/tex].

We can remove the [tex]v^{0}[/tex] in the numerator as it just multiplies the numerator by one, and remove the 1 in the denominator for the same reason.

This leaves us with [tex]\frac{5}{w^{2}}[/tex].

**This content involves division with indices, which you may wish to revise. Let me know if you have any questions. I'm always happy to help!

Answer:

0.1666666666666667

Step-by-step explanation:

2.1/12.6

Hi there!  

»»————-　★　————-««

I believe your answer is:  

0.133

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]0.1325\\\rule{150}{0.5}\\\rightarrow 0.132\textbf{5} \text{ This is the rounding number.} \\\\\text{Since it is} \geq 5, \text{we will round up.}\\\\\rightarrow 0.1325 \approx \boxed{0.133}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Cylinder Volume

V = hπr²

154 cm³ = 16 cm × 3.14 × r²

154 cm³ = 50.28 cm × r²

r² = 154 cm³ : 50.28 cm

r² = 3.0625 cm²

r = 1.75 cm

d = 2r

d = 2 × 1.75 cm

d = 3.5 cm

So, the diameter of the Cylinder is 3.5 cm

#LearnWithEXO

Step-by-step explanation:

By angle sum property

2x+10+4x-36+4x-34=180

10x -60=180

10x= 240

x=24°

Answer:

16 Horses!

Step-by-step explanation:

Since

9 : 2 = 72 : X

Then we know

2/9 = X/72

Multiplying both sides by 72 cancels on the right

72 × (2/9) = (X/72) × 72

72 × (2/9) = X

Then solving for X

X = 72 × (2/9)

X = 16

Therefore

9 : 2 = 72 : 16

Answer:

x=180-a/2+a/2

m AEP =90

Answer:

53-3 times 9 + 12 divided by 3 = 30

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

53-3=50

9+12=21

50 x 21 = 1050

1050/3 = 350

Answer:

Step-by-step explanation:

Dbbdhdbjsbsjsbsbns

Answer:

y=[tex]-\frac{3}{2}x-5[/tex]

Step-by-step explanation:

Use the point slope formula

[tex]y-y_1=m(x-x_1)[/tex]

y-1=[tex]-\frac{3}{2}[/tex](x-4)

Multiply -3/2 by (x-4) which equals -3/2x-6

Move the 1 by adding to both sides

The gives us y=[tex]-\frac{3}{2}x-5[/tex]

Answer:

x=5

Step-by-step explanation:

Since these angles are vertical angles formed by two parallel lines being intersected by another vertical line, you can set the 18x and 17x+5 equal to each other. Then you solve using algebra. I hope this helps!

Answer:

x=5

Step-by-step explanation:

Because they both equal 90°, you can use the equations, 18x=90 and 17x+5=90 to solve.

First, 18x= 90: (Divide by 18)

x=5

Now, 17x+5=90: (Subtract 5 from both sides)

17x= 85

Then divide by 17:

x= 5

Hope this helps!