Find the value of X in the triangle shown below

Find The Value Of X In The Triangle Shown Below

Answers

Answer 1

Answer:

Choice A (x=5)

Step-by-step explanation:

You can get you answer either by using the 3-4-5 Triangle Rule or the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex])

Using the Pythagorean theorem:

Begin by plugging in 4 into a and 3 into b

[tex]4^{2} +3^{2} =c^{2}[/tex]

[tex]16 +9 =c^{2}[/tex]

[tex]c^{2}= 25[/tex]

Then, find the square root of each side

[tex]\sqrt{c^{2} } =\sqrt{25}[/tex]

[tex]c =5[/tex]

Choice A (x = 5) is your answer

Answer 2

Answer:

A. x=5

Step-by-step explanation:

This triangle is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that 4 and 3 are the legs, because they form the right angle. We also know that x is the hypotenuse, because it is opposite the right angle.

a=4

b=3

c=x

Substitute these values into the formula.

[tex]4^2+3^2=x^2[/tex]

Evaluate the exponents.

4^2 is the same as 4*4, which is 16.

3^2 is the same as 3*3, which is 9.

[tex]16+9=x^2[/tex]

Add 16 and 9.

[tex]25=x^2[/tex]

We are trying to find x, which means we have to get x alone. x is currently being squared. To undo this, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

[tex]\sqrt{25}=\sqrt{x^2}[/tex]

[tex]\sqrt{25}=x[/tex]

[tex]5=x[/tex]

Therefore the correct answer is A: x=5


Related Questions

Find the slope and y-intercept of the line. y =1/5x – 8 1/5; –8 –8;1/5 8; 1/5 5; 8

Answers

Answer:

Slope = 1/5 y intercept=-8

Step-by-step explanation:

We can use sloper intercept form to find the answer

Answer:

Step-by-step explanation:

 Slope = 0.400/2.000 = 0.200

 x-intercept = 40/1 = 40.00000

 y-intercept = -40/5 = -8

h = -162 +64t +960.
What is the maximum height?

Answers

Answer:

2 seconds to reach maximum height

Step-by-step explanation:

Which expression can be used to convert 100 USD to Japanese yen?

100usd[99.30487yen/1usd]


100usd[1usd/99.30487yen]


100usd[0.01007yen/1usd


100usd[99.30487usd/1yen]


Answers

Answer:

a. 100usd{99.30487yen/1usd}

Is (0,0) a solution to this system?

Answers

0,0 is not a solution to the system

Answer:

D.

Step-by-step explanation:

If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.

16. A toy car travels at a constant rate of 11 inches every
5 seconds. At this rate, which of the following is closest
to the number of feet the car travels in 2 minutes ?
F. 5
G. 13
H. 22
J. 24
K. 28

Answers

Answer:

5

Step-by-step explanation:

first you do 11 divided by 5

then you multiply it by 2

which gives you 4.4

the closest number is 5

correct me if i am wrong

Answer:

H. 22

Step-by-step explanation:

- The car travels 11 inches every 5 seconds, so in one second it travels:

11 inches / 5 seconds = 2.2 inches/second

- In 2 minutes (120 seconds), the car travels:

2.2 inches/second * 120 seconds = 264 inches

- To convert inches to feet, we can divide by the number of inches in a foot:

264 inches / 12 inches/foot = 22 feet

When dividing complex numbers, why do you need to multiply the numerator and denominator by the complex conjugate of the denominator?

Answers

Answer:

Step-by-step explanation:

So that the denominator is a real number. I know that doesn't sound like a good reason, but it is the reason mostly by convention. You don't want complex i's floating all over the answer. There should be just one i.

Answer:

You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.

A function has a discriminant of 25.
How many x-intercepts does it have?

Answers

Answer:

2

Step-by-step explanation:

If the value of the discriminant is positive, there are two real solutions for x, meaning the graph of the solution has two distinct x-intercepts

Here 25 is positive discriminant, hence the function will have 2 x - intercepts

Find the distance between a horizontal line at y = −3 and a point (–1,−5). answers: 5 units 4 units 2 units 1 units

Answers

Answer:

2 UNITS

Step-by-step explanation:

HELP ME PLEASE I"M FAILING

Answers

Answer:

VX = 4n +7

explanation:

the equation is VX = n + 7 + 3n, all you need to do is add the n variables and get VX = 4n + 7.

Answer:

21

Step-by-step explanation:

n+7=3n ⇒ 2n=7 ⇒ n= 3.5

VX= 2*(n+7) = 2*(3.5+7)= 21

in case you need

WY= 2*(4n+1)= 2*(4*3.5+1)= 30

Pick one of the following answers

Answers

Answer:

B.

Step-by-step explanation:

Just find which side C is opposite to.

In this case, it is opposite to AB

Which equation matches the following graph?


Options:

y = x^2

y = -x^2

x = y^2

x = -y^2

Answers

The answer is: [tex]y=-x^2[/tex].

Hope this helps.

The length of MN is 28 millimeters.
What is the length of M'N' after a dilation with a scale factor of 7/4

Answers

the answer should be 49mm

28*7 / 4 = 49

Answer:49mm

Step-by-step explanation:

At a cafe

2 teas + 1 coffee​ cost= £3.40

1 tea and 4 coffees cost=£7.30

Work out the cost of 1 tea and the cost of 1 coffee?


Step by step explanation​, pleaseeeee

Answers

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

What is being constructed based on the markings in the following diagram?

Line AB with two points C and D on each side of the line; a circle is created with center C passing through point D, and the intersection of circle C with line AB creates points E and F such that point A is between points E and F and point F is between points A and B. Point G is not located on line AB and is on the same side as point D. A circle is created with center F and a radius of FG, and another circle is created with the same radius from point E. Points H and I are intersecting points of circles E and F, and a line is drawn through points H and I.

Inscribed regular hexagon
Inscribed equilateral triangle
Perpendicular line through a point off a line
Perpendicular line through a point on a line

Answers

Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

Help ASAP PLZZZZZ,gbudbejdbjf

Answers

Answer:

60

Step-by-step explanation:

2x+5+x-5=180

add the common things

3x=180

divide stuff

x=60

---------------------------------------------------------------

Hey!!

Solution,

2x+5+x-5=180( sum of co-interior angles)

or,2x+x-5+5=180

or,3x=180

or,X=180/3

X=60

The value of X is 60

hope it helps

Good luck on your assignment

Stay safe..

-------------------------------------------------------------

Solve for X (BRAINLIEST)

Answers

Answer:

x = 24

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             6

------ = -----------

x+8         8

Using cross products

8x = 6*(x+8)

8x = 6x+48

Subtract 6x from each side

8x-6x = 48

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

Answer:

x = 24

Step-by-step explanation:

Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.

From there, we can set up a ratio:

(x+8)/x = 8/6

Multiply both sides by x:

x+8 = 8x/6

Multiply both sides by 6:

6x+48 = 8x

Move the 6x to the right:

48 = 2x

Divide both sides by 2:

x = 24

Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
B. 4
C. 6
D. -6
O E. -3
F. -4

Answers

Answer:

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9.  The correct answer choice is B.

Answer:

The answer B.4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

B-CR-SLHv2
How many ideas should be on each note card in the index-card method of note-taking?
zero
one
two
as many as you can fit

Answers

Answer:

1 or 2

Step-by-step explanation:

2 if you write really small but otherwise 1 idea on 1 side of a notecard.

plsss helpppp plssss

Answers

Answer: A

Step-by-step explanation:

6x + 12x + 90 = 180

18x + 90 = 180

        -90      -90

18x =90

x= 5

6(5) + 12(5) + 90 = 180

30 + 60 + 80 = 180

180= 180       It makes sense that it is A because there is one right angle which has a measure of 90 degrees and the other one have two measures 6x and 12x  and both of them have to also equal  90 degrees. So 90 pluse 6x plus 12x has to equal 180 because they all lie on a straight line and a straight line has an angle measure of 180 degrees.

Answer:a

Step-by-step explanation:

A Student takes exam containing 18 true or false questions What is the probability that he will get exactly 14 questions right?

Answers

Answer:

1.5442%

Step-by-step explanation:

Zoe and Hannah share tips in the ratio 3:7 . Last week Zoe received £24 . How much did Hannah receive last week?

Answers

Answer:

56 euros

Step-by-step explanation:

3=24

7=x

7 x 24=56

Complete each step in the following solution.
10x + 8 = 3(x – 2)

10x + 8 = 3x ___
7x = ___
x = -2

Answers

A:  10x + 8 = 3(x – 2)

     10x + 8 = 3x – 6

     7x =  – 14

     x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

What is an equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."

Given equation

10x + 8 = 3(x – 2)

In this step by multiplying 3 with -2, we get -6

10x + 8 = 3x - 6

Subtract the variables

Subtract -6 and 8 , we get -14

7x = -6 - 8

7x = -14

Divide with 7 on both sides, we get

x = -2

Hence these are the following steps to get x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

Learn more about equation here

https://brainly.com/question/3971275

#SPJ2

NEED ASAP !!! helppppp

Answers

Answer: 960

Step-by-step explanation: all you have to do to find the volume is 10*8*12, which would be 960, so the cubic volume is 960.

HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU I WOULD APPRECIATE IT HOW MANY SOLUTIONS ARE THERE TO THIS NONLINEAR SYSTEM!!!! A)no solutions B)one solution C)two solutions

Answers

Answer:

B) one solution

Step-by-step explanation:

The blue line and the red line cross at only one point so there is one solution. It would be no solution if the blue line never crossed the red line and it would be two or possibly more solutions if the lines crossed more than once.

Please help this is very easy!!!!!!!

Answers

Answer:

40/42 = 20/21

Step-by-step explanation:

Answer:

[tex]\frac{20}{21}[/tex]

Step-by-step explanation:

To divide fractions, multiply by the reciprocal. Therefore:

[tex]\frac{5}{6} / \frac{7}{8} = \frac{5}{6} * \frac{8}{7}[/tex]

Solve by multiplying the fraction with the reciprocal:

[tex]\frac{5}{6} *\frac{8}{7}= \frac{5*8}{6*7} = \frac{40}{42}[/tex]

Simplify:

[tex]\frac{40}{42} = \frac{20}{21}[/tex]. This is your answer!

Sean and Emily do not want to pay more than $30 for dinner at a
restaurant. They plan to leave a tip of 20%. What is the most they can
spend on their meal? *
A.$20
B.$24
C. $25
D. $36

Answers

B: $24. 20% of $30 is $6. 30 minus 6 is 24.

Write the equation of a line that passes through (-5,6) and has a slope of 4, please!

Answers

y= 4x+6 is the equation you’re looking for

Answer:

y = 4x + 26

Step-by-step explanation:

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (-5, 6) and Gradient (m): 4

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - 6 = 4(x-(-5))

This becomes:

y - 6 = 4 (x+5)

y - 6 = 4x + 20

Keep solving by moving the 6 over to the other side:

y = 4x + 20 + 6

y = 4x + 26

An easy way to double check:

1) the coefficient of x is the slope. We got 4x, and the slope is 4, so that's correct.

2) Substitute x=-5 into the equation, and we get 6, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

The equations of three lines are given below.
Line 1: 10x - 4y= -4
Line 2: 5y = –2x+3
2
Line 3: y = -7X-4
5
fx-4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answers

Answer:

3

Step-by-step explanation:

90°
30
==
Help me please

Answers

Answer:

90

Step-by-step explanation:

If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.

Answer:

x = 90°

Step-by-step explanation:

Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.

A scientist is running an experiment with
two species of bacteria that grow exponentially.
If species A doubles in population every
two days, species B doubles in population
every five days, and each species began the
experiment with a population of 50 bacteria,
what will the difference be between the
populations of the two species after ten days?
(A) 200
(B) 800
(C) 1,200
(D) 1,400

Answers

The correct answer A

Answer:

D 1,400

Step-by-step explanation:

Species A doubles every 2 days and species B doubles every 5 days, so in 10 days, species A will double 10/2 = 5 times and species B will double 10/5=2 times. After 10 days from an initial population of 50 in each species, species A will have 50 x 2 ^5= 50 x 32 = 1,600 population while species B will have 50 x 2 ^2 = 200 population. Their difference is 1,600-200 = 1,400.

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