what is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FG}{MN}[/tex] = [tex]\frac{GH}{NP}[/tex] , substitute values

[tex]\frac{12}{x}[/tex] = [tex]\frac{20}{10}[/tex] = 2 ( multiply both sides by x )

12 = 2x ( divide both sides by 2 )

6 = x


Related Questions

The circumference of a circle is 9.31cm. Find the length of the diameter. Give your answer rounded to 2 DP.

Answers

Answer:

2.96cm

Step-by-step explanation:

C= 2x Pi x Radius

9.31 = 2 x Pi x Radius

9.31/2 = Pi x Radius

4.655 = Pi x Radius

4.655/3.14 = Radius

1.4824840764331210191082802547771 = Radius

Now, that you have worked out the radius which is half the diameter

Radius + Radius = Diameter

1.4824840764331210191082802547771 + 1.4824840764331210191082802547771         = 2.964968153

                                                                               = 2.96cm to 2 d.p

You can double check because C= 2 x Pi x Radius

                                                      9.31 = 2 x 3.14 x 1.482

uHhhhhHHHhHhHhHh heLp?

Answers

Answer and Step-by-step explanation:

Use the Pythagorean theorem to solve.

Plug in the value 5 for a, and 6 for b. c will stay as c.

[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]

5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.

We then square root both sides of the equation to get c by itself, resulting in the square root of 61.

The square root of 61 becomes 7.810249676

c = 7.8102

To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.

If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.

#teamtrees #PAW (Plant And Water)

Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=

Answers

y=17

Here is my answer, hope to help you.

5 donuts and 2 cups of hot Chocolate costs 24$. 2 donuts and 3 cups of hot chocolate costs 14$.How much does each donut and each cup of hot chocolate cost​

Answers

Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing  14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

I'll give brainliest ​

Answers

Answer:

its 2/3

my bad

which one is right, i need to knowwwwwwwwwwwwwwwww!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

what is the question?

Step-by-step explanation:

lol

8(__+__)=8m+8n Please help, ​

Answers

It’s 8 (m+n) = 8m + 8n

Answer: m and n

8(m+n)= 8m + 8n

Solve the system by substitution.
4x + 7y = -41
x = y + 5

Answers

Answer:

x=-6/11, y=-61/11. (-6/11, -61/11).

Step-by-step explanation:

4x+7y=-41

x=y+5

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

4(y+5)+7y=-41

4y+20+7y=-41

11y=-41-20

11y=-61

y=-61/11

x=-61/11+5=-61/11+55/11=-6/11

giving brainliest do 2 and 3

Answers

Answer:

2. (5, -7)

3. (-6, 5)

Step-by-step explanation:

Answer:

The answers are uploaded in pictures

1) Robert takes 10 days more than Peter to complete a job. If they work together they will
complete the job in 12 days. How long will Peter alone take to finish the job?

Answers

Answer:

2 days

Step-by-step explanation:

think about it it's simple math I'm in 7 th grade easy

Question 3 (1 point)

A cylinder has a radius of 13 feet and a

height of 28 feet. Which statement about

the cylinder is not true?

a

The circumference is about 82 ft.

The area of one base is about 531 ft2

ОООО

The lateral area is about 2,286 ft?

The total surface area is about 2,818 ft?

Question 4 (1 nointi

Answers

Step-by-step explanation:

The radius of a cylinder, r = 13 feet

Height of the cylinder, h = 28 feet

The circumference of the cylinder is given by :

[tex]C=2\pi r\\\\=2\pi \times 13\\\\=81.68\ ft\\\\C=82\ ft[/tex]

The area of one base is given by :

[tex]A=\pi r^2\\\\=\pi \times 13^2\\\\=530.92\ ft^2\\\\=531\ ft^2[/tex]

The lateral area of the cylinder is given by :

[tex]A=2\pi r h\\\\A=2\pi\times 13\times 28\\\\A=2287.07\ ft^2[/tex]

Total surface of the cylinder is given by :

[tex]A=2\pi r h+2\pi r^2\\\\=2287.07+2\pi \times (13)^2\\\\=3348.92\ ft^2[/tex]

The total surface area of the cylinder is not matched with the given data. Hence, option (4) is not correct.

Are the two triangles similar? How do you know?

Answers

Answer:

Yes the triangles are similar.

if you look at Angle C it's 60° and F is also 60°

60 + 67 is 127

127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)

Similar triangles may or may not be congruent triangles.

The two triangles are similar.

From the figure, we have:

[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding

[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding

[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding

Add the above angles.

[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]

[tex]\mathbf{Sum = 180}[/tex]

The sum of the angles equal 180 degrees,

Hence. the triangles are similar triangles.

Read more about similar triangles at:

https://brainly.com/question/14926756

x + y = -6 The slope is and the y-intercept is​

Answers

The y intercept is at -6

can someone help me with this real quick?​

Answers

Answer:

11. A) 6x = 13

Step-by-step explanation:

11. Subtract 10 from both sides to make it equal 6x=13

12. For #12... None of the answers seem right? If you distribute and subtract, it should be

-4x + 44 = 66 then

-4x = 22...

Sorry if this didn’t help much, I know that 11 is right though ;)

The diagram shows the position
of three towns represented by
letters A, B and C.
NA
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

143º I’m not sure

The bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

If we extend the line NA and NB

As we can see, line NA and NB are parallel and cut by transversal AB

The angle NBA and BAN' will be equal.

Angle BAN' = 180 - 37 = 143 degree = angle NBA

Angle CBA = 360 - 140 - 143

Angle CBA = 77 degree

Now, applying cos law:

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b = 9.37 km

To find the measure of the angle A applying sin law:

(sinA)/a = (sinB)/b

sinA = (axsinB)/b

sinA = (8xsin77)/9.37

A = 56.3⁰

Bearing of town C from town A:

α = A + 37⁰

α = 56.3⁰ + 37⁰

α = 93.3⁰

Thus, the bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

If , then what is mto the nearest degree?

Answers

Answer:

70 degrees

Step-by-step explanation:

If cosm<A = 342/1000, we are to find the value of a

Take arccos of both sides

cosm<A = 342/1000

cosm<A = .342

arccos(cosm<A) = arccos(0.342)

m<A = arccos(0.342)

m<A = 70 degrees

Hence the measure of m<A is 70 degrees

I need help with this question​

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 and -1 are y-intercepts. Then based off of those points, find the next coordinate points by using the given slope. I do not see the correct answer in any of the options. You may have one not included in the image. If so, look at the image below.


a-shifted 4 units right and 3 units up
B-shifted 3 units right and 2 units up
C-shifted 3 units right and 3 units up
D.shifted 2 units right and 3 units up .

PLS HELP!! ASAP

Answers

The answer should be B- shifted 3 units right and 2 units up. Sorry if it’s wrong!!! Good luck! :)

math work pls help :)​

Answers

Answer:

HL

Step-by-step explanation:

It is HL because they are right angles.

The hypotenuse of a right triangle is 13 inches long. The shorter leg is 7 inches shorter than the longer leg. Find the side lengths of the triangle.

Answers

Answer:

5 and 12 inches

Step-by-step explanation:

Let the shorter leg be x.

13²=x²+(x+7)²

169=x²+x²+14x+49

169=2x²+14x+49

120=2x²+14x

120=2x(x+7)

60=x(x+7)

60=x²+7x

x=5

shorter length=5, longer length=12

An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants? Note: 1 ton = 2,000 pounds​

Answers

Answer:

the answer is 104,000

Step-by-step explanation:

because  if an elephant is two tons and 1 ton is 2000 lbs then you know that each elephant is 4000 lbs so then you have to multiply 4000 by 26 wich gives you 104,000

Step-by-step explanation:

2tons multiplied by 1 elephant will give is=4000

26*4000=104000

a herd of elephant weighs 52000 pounds

please mark brainiest thank you

Which fraction is equivalent to 2/34 ? A 11/2 B 11/3 C 11/4 D 11/12

Answers

Answer:

C. 11/4

Step-by-step explanation:

We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.

Then add the 3/4 to the 8/4 and we get 11/4.

C. 11/4

math work pls help :)​

Answers

Not possible. even thought the angles( the lines inside the triangles) are opposite sides of each other, it doesn’t match up

if triangle dgh is congruent to triangle def find the value of x

Answers

Answer:

x = 25

Step-by-step explanation:

[tex] \triangle DGH\sim\triangle DEF... (given) [/tex]

[tex] \frac{DG}{DE} =\frac{GH}{EF} [/tex]

[tex] \frac{52}{91} =\frac{x+3}{2x-1} [/tex]

[tex] \frac{4}{7} =\frac{x+3}{2x-1} [/tex]

4(2x - 1) = 7(x + 3)

8x - 4 = 7x + 21

8x - 7x = 21 + 4

x = 25

The graph shows the number of cycles of a crosswalk signal during the day and during the night.

Answers

Answer:

Step-by-step explanation:

a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.

For day periods,

Let the equation is, y = mx

Since, this line passes through (2, 80),

80 = 2m

m = 40

Therefore, equation for the day periods will be,

y = 40x

For night periods,

Let the equation is, y = mx

Since, this lines passes through (3, 90),

90 = 3m

m = 30

Therefore, equation of the line is,

y = 30x

b). For x = 6 hours,

Number of cycles in the day (y) = 40 × 6 = 240

Number of cycles in the night (y) = 30 × 6 = 180

Therefore, difference in the cycles in day and night = 240 - 180 = 60

what is first three common multiples of 4,9,and 12​

Answers

Answer:

36 is the answer of this question

Answer:

Methods to Find LCM of 4, 9 and 12

Least Common Multiple of 4, 9 and 12 is the smallest number, which is exactly divisible by all of them without any remainder.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36.

Multiples of 9 = 9, 18, 27, 36.

Multiples of 12 = 12, 24, 36.

Answer Please !

Choose The Correct Reason

{Answer Boxes are similar to all questions :
A: Base angles of an isosceles triangle are congruent
B: Given
C: Def. of an isosceles triangle
D: AA Similarity Theorem
E: Substitution property}

(Question 1 )
Reason 1

(Question2)
Reason 2 < type you’re answer From Answer Boxes>

(Question 3)
Reason 3

(Question 4)
Reason 4

(Question 5)
Reason 5

(Question 6)
Reason 6

Answers

the answer is B i just did it
Your answer should be answer B

MULTIPLE CHOICE
What is your output when x is -5?
A. 1
B. -9
C. -1
D. 9

Answers

B) -9

STEP BY STEP EXPLANATION

.Does the graph below represent a function?
Explain how you know. Hint: Vertical line Test

Answers

It’s a function, I’m not good at explaining though.

PLEASE HELP.. A LOT OF POINTS GIVEN!! JUST PLEASE GIVE ME THE RIGHT ANSWER.


Question 1 :


The graph of f(x)=x2 was transformed to create the graph of g(x)=(x−4)2.


Which statement describes this transformation?


A) a horizontal shift to the right 4 units


B) a horizontal shift to the left 4 units


C) a vertical shift up 16 units


D) a vertical shift down 16 units



Question 2 :


The graph f(x)=x2 was transformed to create the graph g(x)=−(x2)2.


Which statement describes this transformation?


A) a reflection over the y-axis and a vertical stretch


B) a reflection over the x-axis and a horizontal stretch


C) a reflection over the x-axis and a vertical stretch


D) a reflection over the y-axis and a horizontal stretch

Answers

Answer:

A) a horizontal shift to the right 4 units

Step-by-step explanation:

As you can see in the image we simply went 4 unites to the right.

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