Three right triangles are drawn in the coordinate plane,
and the coordinates of their vertices are labeled.
For each right triangle, label the lengths of the sides.

Three Right Triangles Are Drawn In The Coordinate Plane,and The Coordinates Of Their Vertices Are Labeled.For

Answers

Answer 1

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

[tex] SL_{A} = 8 - 5 = 3 [/tex]

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

[tex] LL_{A} = 2 - (-8) = 10 [/tex]

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

[tex] H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4 [/tex]

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

[tex] SL_{B} = 7 - 3 = 4 [/tex]

The LL is from (7, -9) to (7, 4)

The length of the LL is:

[tex] LL_{B} = 4 - (-9) = 13 [/tex]

The hypotenuse is:

[tex] H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6 [/tex]

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

[tex] SL_{C} = -1 - (-6) = 5 [/tex]

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

[tex] LL_{C} = -3 - (-10) = 7 [/tex]

The hypotenuse is:

[tex] H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6 [/tex]

I hope it helps you!


Related Questions

1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T

Answers

Answer:

True

Step-by-step explanation:

Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.

* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs

Hope this helps :) Brainliest would be appreciated XD

If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)

Answers

Answer:

[tex]Q_3 = 64[/tex]

Step-by-step explanation:

Given

Box of a box plot with the range: 60 - 64

Required

The upper quartile

To do this, we simply identify the endpoint of the range

Given that the range of the box is 60 to 64.

We have:

[tex]Start = 60[/tex]

[tex]End = 64[/tex]

Hence:

[tex]Q_3 = 64[/tex]

Write all subsets of set {1, 2, 3}​

Answers

The set {1, 2, 3} has 8 subsets.

A set with 'n' elements in it can have 2n subsets.

Geometry help please! Is the given figure a parallelogram? Explain why you answered "Yes" or "No" in question 1. Give as much detail as possible.

Answers

Answer:

yes

Step-by-step explanation:

both angels are the same and that means that the length of the parallel sides are also the same

What is 21-21+21-21-31-7877

Answers

Answer:

- 7,908

Step-by-step explanation:

Have a nice day :)

Answer:

-7,908

Step-by-step explanation:

which statements describe the procedure Dave used in this step and identifies the property that justifies the procedure?

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The second equation differs from the first in that -9 is a term added to both sides of the equation. The addition property of equality tells you that doing this will not change the value of the variable.

_____

The reason (not justification) for doing this is that the sum of 9 and its additive inverse is 0, the additive identity element. This means the equation can be simplified to 3x = 12, which is the point of making that step (subtracting 9).

Please Help me! Marvin worked for 3 days. He earned $87.20 each day. He uses his earnings to buy four chairs. If he has no money left over, what is the cost of each chair?
$65.40
$261.60
$116.27
$21.80

Answers

Answer:

21.8

Step-by-step explanation:

87.2 divided by 4

Answer:

261.60

Step-by-step explanation:

its 3 times 87.20

PLZ HELP!!!!! ASAP!!!!!!!!!!!! NO FILES!

Answers

Answer:

A' (1, -4)

B' (-4, -2)

C' (-5, 4)

D' (-2, 1)

Step-by-step explanation:

When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.

The additive inverse of a number is simply the opposite of a number.

So, to reflect this quadrilateral across the x-axis, we must change the coordinates.

Remember: When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.

Point A: (1, 4) ⇒ A' (1, -4)

Point B: (-4, 2) ⇒ B' (-4, -2)

Point C: (-5, -4) ⇒ C' (-5, 4)

Point D: (-2, -1) ⇒ D' (-2, 1)

The attachment will help as well.

cual es la distancia entee los siguientes puntos R ( 6,-10) M (5,4) C(7,3) H (8,6) M (-4,9)​

Answers

Answer:

M ( -4,9)

Step-by-step explanation:

help help help :)))))))

Answers

Answer:

✓✓ Area of traingle = 1.2 cm^2 ✓✓

Step-by-step explanation:

Hello mate (◕ᴗ◕✿)

=>> In above traingle, height and hypotenuse are given

=> height = 12 cm

=> Hypotenuse = 14 cm

Area of traingle = 1/2(base*height)

we need to find base of above traingle

Base = Hypotenus - Perpindicular

Base = √14 - √12

Base = 3.7 - 3.4

Base = 0.2 cm

Now, we can find area of traingle

Area of traingle = 1/2(Base*Height)

Area of traingle = 1/2(0.2*12)

Area of traingle = 6*0.2

Area of traingle = 1.2 cm^2

Hope it helps you mate (. ❛ ᴗ ❛.)

Answer :

➢ 43.3 cm²

Explanation :

let the missing side be c

a = 12 cm

b = 14 cm

Pythagoras theorem :

➢ a² + c² = b²

➢ 12² + c² = 14²

➢ 144 + c² = 196

➢ c² = 196 - 144

➢ c² = 52

➢ c = √52

➢ c = 7.21

Area = 1/2 × a × c

➢ 1/2 × 12 × 7.21

➢ 6 × 7.21

➢ 43.26 cm²

➢ 43.3 cm² [ round off to 1 decimal place ]

identify one solution for this graph

Answers

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (2w+9) subscriptions and your friend has sold (6w+3) subscriptions.

Answers

Answer:

3/2 weeks

Step-by-step explanation:

The question: find the number of weeks you and your friend sells equal number of magazine

You = 2w + 9

Your friend = 6w + 3

Equate both equations

2w + 9 = 6w + 3

Collect like terms

2w - 6w = 3 - 9

- 4w = - 6

w = -6/-4

w = 3/2 weeks

I AM GOING TO FAIL THIS EXAM L M A F O

Answers

Answer:

x = 4

Step-by-step explanation:

The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is

[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )

20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )

12x = 48 ( divide both sides by 12 )

x = 4

the answer to this question is 4

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

The answer is C≈49.64

Answer:

C=2πr=2·π·7.9≈49.63716

Step-by-step explanation:

brainliest??

What is the slope of a line that passes through (8,0) and (0,8).

Answers

Answer:

slope is 0

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1

If A = (7,9) and B = (3 , 12) what is the length of AB

Answers

Answer:

AB = 5 units

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2[/tex]

with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)

AB = [tex]\sqrt{(3-7)^2+(12-9)^2}[/tex]

      = [tex]\sqrt{(-4)^2+3^2}[/tex]

      = [tex]\sqrt{16+9}[/tex]

      = [tex]\sqrt{25}[/tex]

       = 5

What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and
directrix x = -6?
O A. (x+2) = 8(y+4)
B. (y+4)2 = - 8(x+6)
O c. (y+4)2 = 16(x+2)
O D.(x+4)² = 8(y+2)

Answers

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

[tex](y-k)^2=4p(x-h)[/tex] and h and k are the coordinates of the vertex. Filling in:

[tex](y+4)^2=4(4)(x+2)[/tex] which simplifies to

[tex](y+4)^2=16(x+2)[/tex] choice C

Option C is correct, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6

What is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

The focus of the parabola is at a point that is equidistant to the vertex and the directrix.

Since the directrix is x = -6, the focus is at (-2+4,-4) = (2,-4).

The vertex form of the equation of a parabola is given by:

(y - k)² = 4p(x - h)

where (h, k) is the vertex and p is the distance between the vertex and focus.

In this case, (h, k) = (-2,-4) and the focus is at (2,-4). Therefore, p = 4.

Substituting the values into the vertex form equation, we get:

(y + 4)² = 4(4)(x + 2)

Simplifying, we get:

(y + 4)² = 16(x + 2)

Hence, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6

To learn more on Parabola click:

https://brainly.com/question/31142122

#SPJ5

Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial

Answers

Answer: C. 5x^2-2x+4
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)

Write the system and
Brian sold fruit at his stand. Apples cost $0.40 and pears cost $0.50 each. In an afternoon he
sold 52 pieces of fruit and made $24. How many of each did he sell?

Answers

Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

If 7 - y = 6, then y =
A. -29
B. -5
C. 1
D. 29

Answers

Answer:

C. 1

Step-by-step explanation:

7 - y = 6

-y +  7 = 6

-y - + 7 - 7 = 6 - 7

-y = -1

(-y=-1)/-1

y = 1

Hope this helps.

[tex]\sf \bf {\boxed {\mathbb {\: C.\:1}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]7 - y = 6[/tex]

[tex]➺ \: - y = 6 - 7[/tex]

[tex]➺ \: - y = - 1[/tex]

[tex]➺ \: y = 1[/tex]

Therefore the value of [tex]y[/tex] is 1.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]7 - y = 6[/tex]

[tex]➼ \: 7 - 1 = 6[/tex]

[tex]➼ \: 6 = 6[/tex]

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♨}}}}}[/tex]

Will Mark as Brainliest if it's the Best!

Answers

OPTION B is the correct answer.

Hope it helps you...

Answer:

option B

Step-by-step explanation:

[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]

in multiplication if base are same u can add their power (exponent)

[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]

here since the denominator of the fraction in exponent are same u can add or subtract their numerator.

[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]

note: any base with the power 0 is always considered as one.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:  3.6

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

Explanation:

We use the cosine ratio here. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(69) = x/10

10*cos(69) = x

x = 10*cos(69)

x = 3.583679495453 which is approximate

x = 3.6

How did Progressives address the problems caused by industrialization?

Answers

The main objectives of the Progressive movement were addressing problems caused by industrialization, urbanization, immigration, and political corruption. ... By taking down these corrupt representatives in office, a further means of direct democracy would be established.

One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet?

Answers

Answer:

4.5 feet

Step-by-step explanation:

Line AB || Line CD {sun height are parallel}

Angle ACB parallel to Angle DEC = 90°

Triangle ABC is parallel to Triangle DCE

12/61 * 2.5

=4.5 feet

Zeke owns stock in a high-tech firm. Each share is currently valued at $21 per share, which is 30% less than Zeke paid to purchase it. What did Zeke pay per share?

Answers

Answer:

$14.7

Step-by-step explanation:

Zeke owns stock in a high tech firm

Each share is valued at $21

It's is 30% less than the amount it was purchased

Therefore Zeke pay per share can be calculated as follows

= 21× 30/100

= 21×0.3

= 6.3

= 21-6.3

= 14.7

Hence Zeke's pay per share is $14.7

I need help with it one plz

Answers

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5


Help!!!!!! I Don’t Know The Answer It’s Hard

Answers

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

what’s the volume of the prism?

Answers

Answer:

48

Step-by-step explanation:

Prism shown: Rectangular prism

Volume of a rectangular prism = width times length times height

Given width: 4

Given height: 3

Given length: 4

Volume = 3 * 4 * 4 = 48

Answer:

We can solve the volume of this prism by using this formula :

[tex]l\times w \times h[/tex]

This would be written as

[tex]4 \times 4 \times 3[/tex]

We would then multiply.

[tex](4 \times 4) = 16[/tex]

[tex]16 \times 3 = 48[/tex]

Then we would get our answer!

[tex]Answer = 48[/tex]

If this helped mark me brainliest!

What is the degree of the monomial 4x^2y^5

Answers

Answer:

5

Step-by-step explanation:

The highest power is 5 so the degree of the monomial is also 5.

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Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...

Hint: Write a formula to help you.

1st term+ common difference(desired term-1)

Answers

Answer:

the 9th term would be  -15

Step-by-step explanation:

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