Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?

Answers

Answer 1

In the given triangle ABC in the figure, the value obtained for x will be equal to 6.

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information in the question,

Use the equation of Pythagoras' theorem,

h² = p² + b²

(2x - 2)² = x² + (x - 2)²

4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x

4x² - 8x + 4 = 2x² + 4x + 4

4x² - 2x² - 8x - 4x + 4 - 4 = 0

2x² - 12x = 0

2x² - 12x = 0

2x(x - 6) = 0

So,

2x = 0

⇒ x = 0, it is not possible.

Or,

x - 6 = 0

x = 6

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The given question is incomplete, the complete question might be in the attachment.

Triangle ABC Is Shown. What Value Of X Will Prove That Triangle ABC Is A Right Triangle?

Related Questions

Find the missing side of each triangle.

A) 10 cm
C) 17.1 cm
E) 5.8 cm
B) 11.4 cm
D) 13.8 cm

Answers

Answer:

The choice B) 11.4

Step-by-step explanation:

[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]

By using Pythagoras theorem :

[tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex]

[tex] {x}^{2} = 161.29 - 30.25[/tex]

[tex] {x}^{2} =131.04[/tex]

[tex]x = \sqrt{131.04} [/tex]

[tex]x = 11.4[/tex]

Correct choice is B

Explain how you could buy the total number of points the team has all together

Answers

Answer:

Just count them

Step-by-step explanation:

Write 3 different factorizations of the number 16

Answers

Answer:

1x16

2x8

4x4

Step-by-step explanation:

V
Calculate the length of Mary's trip.
10 miles
14 miles
24 miles
28 miles

Answers

Answer:

C) 24 miles

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

C, 24 miles

Step-by-step explanation:

Please help me w this

Answers

Answer:

I can't give answer i don't have but....

percentage is similar to division.

The total would be $18.74.

Answer this for 50 points

Answers

Answer:

This would be point M.

Step-by-step explanation:

Hope this helps!

Answer:

M

Step-by-step explanation:

(3.75, -2.25)

The first coordinate is the x coordinate which means left or right.

Since it is positive we go to the right 3.75 units

The second coordinate is the y coordinate which means up or down

Since it is negative we go down 2,25 units

The point is labeled M

I will give brainliest if the following questions get answered :3.86 + 0.9876.31 + 48.55126 + 87.457

Answers

Answer:

Your answer would be 140.855891 or 140.9 rounded.

Step-by-step explanation:

3.86+

0.9876.31+

48.55126+

87.457=

140.855891 or 140.9 rounded to the nearest tenth

help me pls, if p ll q, then what is the measure of ACB

Answers

It is equal to 151 degrees. The two equations given are equal due to the composite thingy. Then once you find x, you plug it back in to get 29 degrees. 180 - 29 = 151

could someone please help answer this, no spam please, will give brainliest thank you!, (homework help)

Answers

Answer:

The answer would be B < - 1

heyyyyyyyyyy kinda need help asap sooooooo plz :)

Answers

Answer:

C and D are the most accurate/correct answers

Step-by-step explanation:

Find the value of x

solving steps

Answers

Answer:

x = 8

Step-by-step explanation:

Supplementary angles add up to 180 degrees to make a straight line.

The red square in one of them indicates that it is 90 degrees on their side which means that it is 90 degrees on the other where (6x+2) and 40 degrees are.

(6x+2) + 40 = 90

6x + 42 = 90

6x = 48

x = 8

find the perimeter of the shape below if x=3 and y=10

Answers

Answer:

the same time as a great day happy independence day

(3√81)/(3√24)rationalize the dominator and simplify

Answers

The answer is 3 times squared root of 6 divided by 4

Answer:

3√6/4 or 1.84

Step-by-step explanation:

Please answer all 4 questions:)

Answers

Answer:

1. d=m/v

=57.6/112.9

=0.51018601

=0.510g/cm³(3s.f.)

2. m=d×v

=1.8×54

=97.2g

3. v=m/d

=63.8/12.7

=5.02362205

=5.02cm³(3s.f.)

4. v=length×breath×height

=12×2×6

=144m³

216g=0.216kg

d=m/v

=0.216/144

=0.0015kg/m³

Step-by-step explanation:

density=mass/volume

mass=density×volume

volume=mass/density

*make sure the units are correctly placed.

*g/cm³, kg/m³

The mass is 64204832(

Please help me solve this problem

Answers

Answer:

I would say translation

Answer:

translation

Step-by-step explanation:

translation is move the shape to other place with same shape and same size

reflection is reflect the shape ,it will not be same direction

Drew and Danielle are sightseeing for the day. Between the two of them they take 118 pictures. If Drew takes 14 more than three times as many pictures as Danielle, how many pictures for each friend take?

Answers

Answer:

Drew = 92 pictures, Danielle = 26 pictures

Step-by-step explanation:

Amount of pictures Drew has = x

Amount of pictures Danielle has = y

First make a system of equations:

x + y = 118

x = 3y + 14

Then solve with substitution:

(3y + 14) + y = 118

4y = 104

y = 26

x + 26 = 118

x = 92

Isosceles triangles may be obtuse or acute but never right.
A. True
B. False

Answers

This is false, as ther could be a triangle with angles 62, 59 and 59. All angles are acute and it is an isosceles triangle.

What is the probability that Zeke gets a sum of 7

Answers

Answer:  

17

%

Explanation:

A sum of 7 can be achieved the following ways.

5 and 2

2 and 5

4 and 3

3 and 4

6 and 1

1 and 6

There are

6/2

=

3/6

possible outcomes and 6 ways to obtain the sum of 7 so

6 3/6

17

%

Solve this plz ill give your brainly

Answers

Answer:

1) 280

There are 60 minutes in an hour. 60/15 is four. 4*70 is 280

2)384

640/5=128

128*3=384

3) 24

216/9=24

4)3

4.5=18/4

six times as many as you need.

1/2 times 6 is 3.

5)1120

280*4=1120

Hope this helps!

Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?

Answers

Answer:

10 miles

Step-by-step explanation:


I need some help with 12 please

Answers

Answer:

its C

Step-by-step explanation:

thank me later

The answer is actually D because the original shape has been flipped on the opposite side of the y axis and it hasn’t been translated up, down, or sideways so it’s just a reflection

A car is traveling at 40 ​mi/hour. What is the​ car's speed in feet per​ second?

Answers

Answer:

58.8 feet per second

Step-by-step explanation:

At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour. If you divide 5280 Feet by 3600 Seconds (5280 FT /3600 SEC.), you get 1.47.

Hope that helps :)

Which of the given is the set of zeroes of the polynomial p(x)=2x3+x2-5x+2

Answers

Answer:

x = 1, [tex]\frac{1}{2}[/tex], -2

Step-by-step explanation:

To find the roots (zeros), replace  y  with  0 and solve for  x .

Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)

A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?

Answers

MPH is the ratio Miles/hour

412=miles

110=hours

412/110 = 3.745 with 45 repeated

hopefully i got this right, the answer seems wrong to me.

Answer:

110 per hour

Step-by-step explanation:

ies xd

The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.

B. The slope of the graph of k is 2.

C. The graph of k passes through (-1, -8).

D. The zero of k is 3.

Fr someone help me

Answers

Answer:

B. The slope of the graph of k is 2.

Step-by-step explanation:

Find the equation of the line.

The slope is:

m = (8 - 0)/(1 + 3) = 2

The y-intercept is:

0 = -3*2 + bb = 6

The line is:

y = 2x + 6Now lets look at the answer options

A. The x-Intercept of the graph of k is 8.

The x- intercept is -3, False

B. The slope of the graph of k is 2.

m = 2, True

C. The graph of k passes through (-1, -8).

-8 = 2(-1) + 6-8 = 4, False

D. The zero of k is 3.

x = 0 ⇒ y = 0+ 6 = 6,  False

The slope of the graph of k is 2.

The correct statement is B.

Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).

We need to check which option is correct.

To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).

The slope of a linear function is given by:

slope = (change in y) / (change in x)

Using the points (-3, 0) and (1, 8):

slope = (8 - 0) / (1 - (-3))

slope = 8 / 4

slope = 2

So, the slope of the graph of k is 2.

Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

Using the point (1, 8):

8 = 2 × 1 + b

8 = 2 + b

b = 8 - 2

b = 6

Now, the equation of the linear function k is:

y = 2x + 6

Now, let's evaluate the given statements:

A. The x-Intercept of the graph of k is 8.

To find the x-intercept, we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The x-intercept is -3, not 8. So statement A is false.

B. The slope of the graph of k is 2.

We already found earlier that the slope of k is 2. So statement B is true.

C. The graph of k passes through (-1, -8).

Let's check if (-1, -8) satisfies the equation of k:

-8 = 2 × (-1) + 6

-8 = -2 + 6

-8 = 4

The equation is not satisfied, so statement C is false.

D. The zero of k is 3.

To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The zero of k is -3, not 3. So statement D is false.

In conclusion:

Statement A is false.

Statement B is true.

Statement C is false.

Statement D is false.

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If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?​

Answers

Answer:

See below

Step-by-step explanation:

This a form of the proportional relationship:

f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

We have:

f(5) = 12

It means:

Total cost of 5 cupcakes is $12

In f(x)

f(x) is total costx is total cupcakes

So in f(5)

5 cupcakes cost $12

Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 1 1/2 hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?

Answers

Answer:

it should be 250m

Step-by-step explanation:

Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m

PLEASE HELP RN AQAP
THANKS!

Answers

YOU JUST PUT THE 3 IN BOTH BOXES

Answer:

8^3 x 12^3

Step-by-step explanation:

Use the point-slope formula to write an equation of the line that passes through (-5, -4) and (3, -1).
Write the answer in slope-intercept form (if possible).

Answers

Answer:

point slope form: y + 4 = 3/8 (x + 5)       slope intercept: y = 3/8x - 17/8

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-4) / 3 - (-5)

slope = 3/8

y + 4 = 3/8 (x + 5)

y = 3/8x + b

-1 = 3/8(3) + b

-1 = 9/8 + b

-17/8

y = 3/8x - 17/8


Evaluate
Write your answer as a fraction in simplest form.
HELP PLEASE

Answers

Answer

-3⁻³/6⁻²

= (-1*3)⁻³/(2*3)⁻²

= -1⁻³·3⁻³/2⁻²·3⁻²

= -1.3⁻³⁺²/2⁻²

= -1.3⁻¹/2⁻²

= -4/3

Step-by-step explanation:

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