Given m||n, find the value of x

Given M||n, Find The Value Of X

Answers

Answer 1

Answer:

(i)Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110

Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180

(Angles on the same side of the transversal are supplementary)

110

+∠GHD=180

∠GHD=180

−110

=70

(ii)For parallel lines l and m with transversal a

∠AIE=∠CJI (corresponding angles)

⇒x=100


Related Questions

In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?

Answers

9514 1404 393

Answer:

  9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

  tan(α) = 500/3000 = 1/6

  α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

_____

Additional comment

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

Joe has 23 carnival ride tickets and it takes 3 tickets to ride the roller coaster how many times can he ride the coaster how many tickets will he have left over

Answers

Answer:

JIKA ANDA YANG

Step-by-step explanation:

yang bales anak yang

[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]

Answer:

20

Step-by-step explanation:

He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster

so 23 - 3 = 20

What is the probability of the spinner landing on 1 or 3

Answers

Answer:

Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

What is the length of a diagonal in the given picture? Round your answer to the nearest whole number. Write the numerical value

Answers

i believe it’s 18ft.

I don’t get this one but the question was something about finding the equation.

Answers

9514 1404 393

Answer:

  y = -(x -3)^2 +2

Step-by-step explanation:

The vertex form of the equation for a parabola is ...

  y = a(x -h)^2 +k

where the vertex is (h, k) and the value 'a' is a vertical scale factor.

The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.

Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...

  y = -(x -3)^2 +2

What is 1/8 * 1/8 in fraction? PLEASE HELP

Answers

Answer:

1/64

Step-by-step explanation:

See image below:)

A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 14.12. The camera is 190.0 cm above the
surface. How far is the camera from the rock?
The camera is cm from the rock
Round to the nearest tenth as needed.)

Answers

Answer:

778.1 cm

Step-by-step explanation:

The solution triangle attached below :

Using trigonometry :

θ = 90 - 14.12 = 75.88°

Cos θ = Adjacent / hypotenus

Cos 75.88 = 190 / d

d = 190 / cos 75.88

d = 778.83

Rock is 778.8 cm from the camera

Solve rational equations 5/6+3/b=1/3

Answers

5/6+3/b = 1/3
B = -6

Can someone answer this I’ll give brainliest

Answers

Answer:

7/13

Step-by-step explanation:

Arrange the numbers so that the number of girls in year 10 is the numerator, and the total number of girls is the denominator. (140/260) Simplify this by dividing both numbers by 20.

From her eye, which stands 1,61 meters above the ground, Savannah measures the
angle of elevation to the top of a prominent skyscraper to be 24°. If she is standing at
a horizontal distance of 340 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary

Answers

Answer:

152.99 m

Step-by-step explanation:

Using the solution diagram attached below :

We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;

Tan θ = opposite / Adjacent

Tan 24 = h / 340

h = tan 24 * 340

h = 151.37775

Hence, the height will be (h + distance from eyelevel to ground)

151.37775 + 1.61

= 152.98775

= 152.99 m

Answer:

132.6 meters tall

Step-by-step explanation:

it gave me the answer

Which statement describes the solution set of function f? f(x)= 3x^2 - 4x - 2

Answers

Answer:

Vertex form

( 2 /3 ,  − 10 /3 )

x and y intercepts

 Y intercept ( 2 + √ 10 /3 , 0 ) , ( 2 − √ 10/ 3 , 0 )

X intercept ( 0 , − 2 )

Step-by-step explanation:

The correct statement that describes the solution set of the function f is Two real solutions. So, correct option is C.

To determine the solution set of the function f(x) = 3x² - 4x - 2, we can consider the nature of the solutions by examining the discriminant of the quadratic equation.

The discriminant, denoted as Δ, is calculated as b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In this case, the quadratic equation is 3x² - 4x - 2 = 0. Comparing it to the general form, we have a = 3, b = -4, and c = -2.

The discriminant is given by Δ = (-4)² - 4(3)(-2) = 16 + 24 = 40.

Based on the value of the discriminant (Δ = 40), we can determine the nature of the solutions:

If Δ > 0, there are two distinct real solutions.

If Δ = 0, there is one real solution.

If Δ < 0, there are two complex solutions.

Since Δ = 40, which is greater than 0, the correct statement that describes the solution set of the function f is:

C- Two real solutions.

To learn more about function click on,

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Complete question is:

Which statement describes the solution set of function f? f(x) = 3x² - 4x - 2

A- One real solution and one complex solution

B- Two complex solutions

C- Two real solutions

D- One real solution

What is the median of the data set? 32, 41,43,50,70,73,80,88

Answers

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

1) Find the two middle numbers: 50 and 70.

2) Take the average of both #'s to get your answer: 60.

10. Fill in the blank to make an equal problem 2,165 + ______ + 1,678 = 6,414

Answers

Answer:

2,165 + 2571 + 1,678 = 6,414

Step-by-step explanation:

We can say;

=> 2,165 + unknown number + 1,678 = 6,414

So let's add like terms first;

=> 3,843 + unknown number = 6,414

=> unknown number = 6,414 - 3,843

=> unknown number = 2571

Hope this helps!

Answer:

2571

Step-by-step explanation:

Let x be the blank.

2165 + x + 1678 = 6414

3843 + x = 6414 (combine like terms)

x = 2571

A sandwich costs $4.20 and a fruit drink costs $1.80. There is a 8% tax. How much
change will you get from a $10 dollar bill after purchasing both the sandwich and drink
(and paying tax of course)?
A. $6.48
B. $3.52
C. $3.70
D. $3.90

Answers

Answer:

B. 3.52

Step-by-step explanation:

4.20+1.80=6.00

6.00 x .08 (8% tax)=.48 tax

6.00+ .48=6.48 total cost

10.00-6.48=3.52 change from a $10 bill

A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 15 babies is studied. Round the answers to three decimal places. Part 1 of 4 (a) What is the probability that exactly 5 of them weigh more than 20 pounds

Answers

Answer:

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Step-by-step explanation:

For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.

This means that [tex]p = 0.3[/tex]

A sample of 15 babies is studied.

This means that [tex]n = 15[/tex]

What is the probability that exactly 5 of them weigh more than 20 pounds

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

what is equivalent to 4 to the power of 3

Answers

Answer:

64

Step-by-step explanation:

because you multiply 4 by it self

4•4•4
when using exponents the number above is how many times you multiply the number by itself
4^3=64

HELP ASAP 35 POINTS

Answers

Answer:

Given function:

y = -x² + 6

Fill in the table by substituting the value of x:

x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2

The graph is attached

What is the value of 2 - 1.25 as a fraction?​

Answers

Answer:

3/4

Step-by-step explanation:

2 - 1.25 - 0.75

0.75 = 3/4

Your answer is 3/4.

I hope this helps, have a nice day.

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]2 - 1.25[/tex]

[tex]0.75[/tex]

[tex]0 \frac{75}{100} [/tex][tex] \frac{75}{100} [/tex][tex] \frac{25(3)}{25(4)} [/tex][tex] \frac{25 \times 3}{25 \times 4} [/tex][tex] \frac{3}{4} [/tex]Hope it is helpful...

What is the volume of a square pyramid with a height of 4cm and a base with a side of 9 cm?​

Answers

Answer:

108cm³

Step-by-step explanation:

Seeing that the base is a square, we first have to calculate the area of the base. This is equal to 9x9, in other words 81cm squared. Now, we multiply the base area to the vertical height divided by 3, which becomes 81x(4/3), which is then 108cm³.

:))))))))))

Solve for y.
O 10
O 12
O 15
O 18

Answers

Answer:

first option

Step-by-step explanation:

3x = 90 degree (being perpendicular)

x = 90/3

x = 30 degree

substitute the value of x

2x + 3y = 90 degree (being perpendicualr)

2*30 + 3y = 90

60 + 3y = 90

3y = 90 - 60

y = 30/3

y = 10 degree

Answer:

that's easy its letter a number 10

What is the slope and equation, how much battery does she lose an hour

Answers

Answer:

The slope is  y=-5x+100 and she loses 5% per hour

Step-by-step explanation:

hope it helps and can you pls give me brainliest im desperate

Two dice are thrown together. Use a tree diagram to find the probability that both numbers are less than 5

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

2 dice = 12 numbers

1, 2, 3, 4 and 1, 2, 3, 4 are less than five.

This is a total of 8 numbers.

[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]

The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )

Now , the total number of outcomes for throwing 2 dices = 36 outcomes

And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5

{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),

(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),

(1,4), (2,4), (3,4), (4,4)}

So , the number of possible outcomes = 16

And , probability P ( A ) = 16/36

P ( A ) = 4/9

Hence , the probability is 4/9

To learn more about probability click :

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Find the volume of cone pictured below. Use 3.14 for π
.

Round your answer to the nearest hundredth.

Answers

Answer:

V≈718.38

Step-by-step explanation:

The volume of this cone is 718.38 cubic centimeters.

Have a nice day!

Find the degree measure of the indicated angle.
?
22
135°

Answers

Answer:

measure of the indicated angle

=180-(135+22)

=180-157

=23°

the first option is the answer

Answer:

23

Step-by-step explanation:

135+22 = 157

all angles add up to 180 degrees so

180-157 is 23

Explain why the sum of the interior angles in a regular pentagon is 540?

Answers

Answer:

Step-by-step explanation:

formula to find the sum of interior angle of a regular pentagon is

(n-2)*180 degree

here n means no of sides .since pentagon has 5 sides replace it by 5

=(5-2)*180

=3*180

=540 degree

Which figure can be formed from the net?
6 cm
4 cm
4 cm
6 cm
4 cm
4 cm
6 cm
6 cm

Answers

Answer:

It's the fourth option, the bottom right one

The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.

Consider this quadratic equation. x2 + 1 = 2x – 3 Which expression correctly sets up the quadratic formula?

Answers

I think the answer is: x ² - 2x + 4 = 0

At the beginning of the week, Josh had 323232 computer games, 133\33, percent as many computer games as Peter had. By the end of the week, Josh gave 25\%%, percent of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week

Answers

Answer:

[tex]Josh =24[/tex]

[tex]Peter = 32[/tex]

Step-by-step explanation:

Given

Beginning of Week

[tex]Josh = 32[/tex]

[tex]Josh = 133\% * Peter[/tex]

First, we calculate the amount Peter has at the beginning of the week

[tex]Josh = 133\% * Peter[/tex]

Make Peter the subject

[tex]Peter = \frac{Josh}{133\%}[/tex]

[tex]Peter = \frac{32}{133\%}[/tex]

[tex]Peter = \frac{32}{1.33}[/tex]

[tex]Peter = 24[/tex]

When Josh gave out 25%.

The number (n) of computers is:

[tex]n = Josh * 25\%[/tex]

[tex]n = 32 * 25\%[/tex]

[tex]n = 8[/tex]

This means that Josh gave out 8 computers.

So, the amount they both have is:

[tex]Josh =32 - 8[/tex]

[tex]Josh =24[/tex]

[tex]Peter = 24+8[/tex]

[tex]Peter = 32[/tex]

Determine whether the triangles are similar. If so, write a similarity
statement.

Answers

Answer:

[tex]\triangle FED\sim \triangle JEH[/tex]

Step-by-step explanation:

Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]

9514 1404 393

Answer:

  ΔDEF ~ ΔHEJ

Step-by-step explanation:

The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.

The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...

  ΔDEF ~ ΔHEJ

Mac traveled to three cities on one highway. The total distance one way was 320 miles. The distance from his original location to the first city was 20 miles more than half the distance from the first city to the second city. The distance from the second city to the third city was 75 miles less than the distance from the first city to the second city. Let x represent the distance from the original location to the first city, y represent the distance from the first city to the second city, and z represent the distance from the second city to the third city. Place the correct sets of column entries in the augmented matrix that models Mac's situation

Answers

Answer:

827

Step-by-step explanation:

this is the answer !!

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