Given that m||n, find the value of x.

Given That M||n, Find The Value Of X.

Answers

Answer 1

Answer:

[tex] \boxed{ \sf{x = 65 \degree}}[/tex]

Step-by-step explanation:

In the given figure we have two corresponding angles.

We know that corresponding angles are equal to each other

So,

2x+5 = 1352x = 135 - 52x = 130x = 130/2x = 65

Therefore, x = 65°

Answer 2

Corresponding angles are same

[tex]\\ \sf\longmapsto 2x+5=135[/tex]

[tex]\\ \sf\longmapsto 2x=135-5[/tex]

[tex]\\ \sf\longmapsto 2x=130[/tex]

[tex]\\ \sf\longmapsto x=130/2[/tex]

[tex]\\ \sf\longmapsto x=65°[/tex]


Related Questions

find the derivative of (Cosx/1+sinx)^5​

Answers

Use the Chain Rule:

[tex]\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)[/tex]

Given Information:

[tex]f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]

The answer is:

[tex]5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]

Which graph represents a proportional relationship?

Answers

Answer: The first graph

Step-by-step explanation:

A proportional graph always goes through the origin

Answer:

The first graph

Step-by-step explanation:

(5x-7)^2-1=8 solve for x

Answers

Answer:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1 - Simplify by expanding the brackets:

[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]

Step 2 - Subtract 8 from both sides so the equation equals 0:

[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]

Step 3 - Use the quadratic formula:

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]

Plug variables in:

[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]

[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]

So x is either:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]

[tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]

[tex]x = \frac{4}{5}[/tex]

Hope this helps!


Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly figure 1 and figure 2
B.only figure 2 and figure 3
c.only figure 1 and figure 3
D. all three figures
E none of the figures

Answers

only figure 1 and figure 3 are similar.

What is similarity?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.

If we take the ratio of three side as

16:9:12

(4)²:(3)²:(2√3)²

Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.

If we take the ratio of three side as

64:36:48

(8)²:(6)²:(4√3)²

Comparing the ratios of both figure, the figure 3  has twice the measurement of figure 1 sides.

Hence, only figure 1 and 3 are similar.

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Determine whether the points p1 (6,9,7), p2(9,2,0), and p3(12,-5,-6) lie on the same line

Answers

Answer:

They are not.

Step-by-step explanation:

Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.

[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]

At this point we have at least three options:

Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.

Calculate the cross product between the two, if it's non-zero the three point are not in a line.

Try to determine the plane passing for the 3 points: if we find one they are not in a line.

Option 1:

The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:

[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]

So the three points are not in a line.

Option 2:

Let's calculate the cross product of the two vectors we found at the beginning.

[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]

Since the result is not the null vector, the three points are not in a line.

Option 3:

Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.

[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]

Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line

The zeros of the quadratic function described by the graph below is

Answers

7. The zeros of the quadratic function described by the graph below is

1

A. 2,1

B. -2,1

C. 2,-1

D. -2,-1

Answer :C

Which expression is equivalent to 4w (-6w)
0 -2w3
O-202
0-24w3
0-24w2

Answers

Step-by-step explanation:

4w(-6w)

= (4*6)(w.-w)

= 24 * -w²

= -24w²

Ms. Mary spent $192 less than Ms.Mona on supplies for their class. Together they spent a total of $988. How much did each person spend?

Answers

Answer:

Ms. Mona and Ms. Mary spent $590 and $398 respectively.

Step-by-step explanation:

Total spent= $988

Ms. Mary +Ms. Mona= $988

Since Ms. Mary spent $192 less than Ms. Mona,

(Ms. Mona -$192) +Ms. Mona= $988

2(Ms. Mona)= $988 +$192

2(Ms. Mona)= $1180

Amount Ms. Mona spent

= $1180 ÷2

= $590

Since Ms. Mary spent $192 less than Ms. Mona,

amount Ms. Mary spent

= $590 -$192

= $398

Alternatively, since the total spending is $988,

amount Ms. Mona spent

= $988 -$590

= $398

A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answers

Let width be xLength=6x

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Length=6(85)=510ftWidth=85ft

Consider the set {7,8,9; the elements of this set include?
a. 7,8,9
b. 9, 10, 11
c. none of these

Answers

Answer:

The correct answer is "Option A".

Step-by-step explanation:

Hope this helps :)

Hasan plans to choose a book from a section of the store where everything is 25%
off He writes the expression d 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another
expression. 0.75d, that will also find the sale price of the
book if the original price is
I/ dollars,
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.

Answers

Answers:

Hasan's Expression: d - 0.25d

d: Original price0.25: percent discount 0.25d: amount of discountd - 0.25d: sale price

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

Bella's Expression: 0.75d

0.75: percent of original priced: original price0.75d: sale price

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

Explanation:

The variable d stands for the original price. The store is offering a 25% sale, which means that Hasan will save 25% of the original price. This means 0.25d represents the amount he saves (aka the discount amount).

For instance, let's say d = 100 is the original price. 25% of this is 0.25d = 25 dollars. So if the book is originally $100, then he saves $25.

As you can probably guess, the 0.75 comes from 1 - 0.25 = 0.75; it indicates that if Hasan saves 25%, then he still has to pay the remaining 75%

Notice how d - 0.25d = 1d - 0.25d = (1-0.25)d = 0.75d which points to the sale price being 75% of the original price d.

This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?

Answers

Answer:

Yes.

Step-by-step explanation:

What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?

Answers

Answer:

I will cryy because I only want to write 78 why it recorded as 98

can somebody help me plssssss

Answers

Answer:

They are equal, so =

Step-by-step explanation:

We know that one-half is .50.  3/2 is an improper fraction and when we solve to a decimal, we get 1.5.  

PLEASE HELP URGENT

use the graph to solve the equation. the topic is quadratic equations

pic attached with graph & equation

Answers

Answer:

3 and-2

Step-by-step explanation:

The point of intersection

Answer:

x=-2, x=3

Step-by-step explanation:

x²-x-6=0

x²-3x+2x-6=0

x(x-3)+2(x-3)=0

(x+2)(x-3)=0

I need help with this :///

Answers

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

An adult elephant eats about 300 pounds of food each day. Write an
expression to represent the number of pounds of food a herd of
12 elephants eat in/5 days.

Answers

Answer:

18000

Step-by-step explanation:

you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.

Identify which graph below contains the coordinate points (–3, 4),(–2, 0), and (0, –8). Select all that apply.

Answers

Answer:

A, C, D

Step-by-step explanation:

All of the plot curves contain (0, -8) and (-2, 0)

B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.

Answer:

Graph A , B, and D

Step by-step explanation:

All the points are one these three graphs.

Pls help this is timed and I don’t understand

Answers

Answer:

178

Step-by-step explanation:

All right!!

Line l is parellel to line m.

So if r is 91 then we can infer that s helps it make a 180 degree angle/straight line.

So 180 - 91 = 89

s = 89

If the two lines are parallel then s = u because of inner angles/outer angles stuff.

If s=u then u = 89 as well.

And because of vertical angles, t =u so t = 89.

Now the question asks to find t + u, so t + u = 89 + 89 = 178

Hope that helps!!

Question 1 of 10
f (2) = y + 10. Find the inverse of f(x).
O A f-'(x) = (x + 10)
O B. f-1(x) = 73 + 10
O C. f-1(x) = (x – 10)3
O D. f-'(x) = x3 – 10

Answers

Option D

step by step explanation:

[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]

The inverse of the given function is represented as f' ( x ) = x³ - 10

What is Function Rule?

A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.

Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the function is depicted as f ( x ) = ∛( x + 10 )    

Simplifying results in

The function's inverse is obtained by swapping the x and y variables.

So ,

y = ∛( x + 10 )

x = ∛( y + 10 )

On solving for y , we get

y = x³ - 10

And , the inverse is f' ( x ) = x³ - 10

The function is therefore f' (x) = x³ - 10.

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The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.

Answers

Answer


950  ≤ 1000  < 1050

Explanation

Mark Brainliest please

The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

What are the lower and upper bound?

The lower bound is the smallest value that would round up to the estimated value.

The upper bound is the smallest value that would round up to the next estimated value.

Here the number 1000 is rounded to the nearest 100 will be:

The Lower bound will be 950.

The Upper bound will be 1050

Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

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Please help! Will give 50 points!!

Answers

Answer:

- 5 | - 1 | 3 | 7

Step-by-step explanation:

Given function:

y = 2x + 3

Complete table by finding y values:

x = - 4  ⇒ y = 2*(-4) + 3 = - 8 + 3 = - 5x = - 2 ⇒ y = 2*(-2) + 3 = - 4 + 3 = - 1x = 0  ⇒ y = 2*0 + 3 = 0 + 3 = 3x = 2  ⇒ y = 2*2 + 3 = 4 + 3 = 7

The axis of symmetry of a parabola is the line x = 6. What is the x-coordinate of the vertex of the parabola?

Answers

Answer:

x-coordinate of the vertex: h = 6.

Step-by-step explanation:

The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts.  The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.

In the standard form of quadratic equation, y = ax² + bx + c:

[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]

In the vertex form of quadratic function, y = a(x - h)²+ k:

[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]

Hence, the axis of symmetry is the point where x = h.  

Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.

7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?

(North Carolina Math 2)

A. $502 B. $512 C. $515 D. $525

Answers

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

The answer would be A. 502

Identify the set of perpendicular lines in this image.

A) AB, CD

B) CD, EF

C) AB, EF

D) AB, FE

Answers

Answer:

AB, CD

Step-by-step explanation:

there is ⊥ 90° angle sign between them AB and CD.

They are perpendicular

i need help asap plss

Answers

Answer:

12

Step-by-step explanation:

20% is 20/100 = 0.2

60% is 60/100 = 0.6

So 20% of 60%= 0.2*0.6=0.12

0.12 in % = 0.12*100 = 12%

Yes i know… Math sucks

Anyways have a great day and if its correct please give brainliest

Stay Safe And Healthy

Thank you

plz answer this with complete process plzzz I will give you brainlist ..........​

Answers

Answer:

Step-by-step explanation:

Needs a picture to be solved, please put one.

Answer:

i know

Step-by-step explanation:

I know have a amazing day

In 20Pg how many choices are
there for the eighth batter for a
line-up of 9 out of 20?
A. 20
B. 14
C. 13

Answers

Answer:

13

Explanation-

It is 13 because it is the only one out of all of them that makes sense.

For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

In the given question,

In ²⁰ P ₉, the number of choices are to be found.

To find the choices,

Expand ²⁰ P ₉ by using a formula,

[tex]\rm ^nP_r = n!/(n-r)![/tex]

The number of choices

= 20!/ (20 -9)!

= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!

= 6.0949324 x 10¹⁰

The required number of choices are 6.0949324 x 10¹⁰.

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The complete question is given below.

A family buys airline tickets online. Each ticket costs $208. The family buys travel
insurance with each ticket that costs $16 per ticket. The web site charges a fee of
$22 for the entire purchase. The family is charged a total of $1142. How many
tickets did the family buy

Answers

the family brought 2271 tickets.

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

Please help me and give explanation on how you got your answer if not that’s fine

Answers

D

The reason is because well first of the plotted dot is filled in with means that x needs to be less then or equal too so to represent that you put the line under the less then symbol and none of the other options have that exact symbol

The arrow is going to the left this is stating that x needs to be less than -2

If it’s wrong then I apologize because I don’t really remember this
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