Mathematics High School

If m<2 = (2x)° and m<5 = (x+6)°, find the value

of ‘x’ and the m<4.

If M&lt;2 = (2x) And M&lt;5 = (x+6), Find The Value Of X And The M&lt;4.

Answers

Answer 1

Answer:

x = 58

[tex] m\angle 4 = 116\degree [/tex]

Step-by-step explanation:

[tex] m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\

m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\

\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\[/tex]

From equations (1) & (2)

[tex] m\angle 2 =180\degree-m\angle 5\\\\

\therefore (2x)\degree =180\degree-(x+6)\degree \\\\

\therefore (2x)\degree +(x+6)\degree =180\degree\\\\

\therefore (2x+x+6) \degree =180\degree\\\\

\therefore (3x+6) \degree =180\degree\\\\

3x + 6 = 180\\\\

3x = 180-6\\\\

3x = 174\\\\

x = \frac{174}{3} \\\\

\huge \purple {\boxed {x = 58}} \\\\

\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\

\therefore m\angle 4 = (2x)\degree \\\\

\therefore m\angle 4 = (2\times 58)\degree \\\\

\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} [/tex]

Related Questions

It takes 111 pounds of seed to completely plant a 12-acre field.
How many acres can be planted per pound of seed?

Answers

Answer:

0.108 Acres

Step-by-step explanation:

We find the rate by dividing the amount of acres to the pounds

12/111

= 0.108

0.108 acres of land can be planted per pound of seed

Your Turn (Activity 1): Find the LCM of 6 and 9 using the multiples of each:​

Answers

Answer:

LCM of 6 and 9: 18

#1: Find the slope of the line shown below.

Answers

Answer:

-3/4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

-3/4

Step-by-step explanation:

Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)

Answers

Answer:

640u  

2

−492u+55

Step-by-step explanation:

notsure

ILL MARK BRAINLIEST PLS HELP
Select all of the descriptions
which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x)=4x.
A
The graph is rotated about (0,0), becoming steeper.
B
The graph is vertically stretched.
The graph is translated 4 units up.
D
The graph is translated 4 units to the right.
E
The graph is vertically shrunk.
F
The graph is reflected across the x-axis.

Answers

Answer: A)

Step-by-step explanation:

Neil and Joey share a 30-ounce bucket of clay. By the end of the week, Neil has used 1/10 of the bucket, and Joey has used 2/5 of the bucket of clay. How many ounces are left in the bucket?

Answers

15 ounces

First find what 2/5 and 1/10 are of 30 (12 and 3)
Next add them together (15)
Subtract from the original (30-15=15)

Answer:

15 ounces

Step-by-step explanation:

1/10 of the bucket is 3 ounces and 2/5 is 12 ounces. add those to get 15 and then do 30-15 which is 15

3/-4 divided (-2 1/3)

Answers

the answer is 0.321
Hope this is helpful

If Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles? Group of answer choices 18 times 12 times 8 times 6 times

Answers

Answer: 8 times

Step-by-step explanation:

There are 1/6 chance everytime you roll, so if you x48 is is 48/6 which is 8 times!

Graph.

f(x)=2|x+2|+1

Use the Ray tool to graph the absolute value function.

Answers

We can use the Ray tool to graph the absolute value function f(x) = 2|x+2| + 1, which helps us visualize the function by plotting specific points on the coordinate plane.

1. Begin by understanding the structure of the absolute value function f(x) = |x|. The absolute value function takes any input x and returns the positive value of x, making it symmetric concerning the y-axis.

2. In the given function f(x) = 2|x+2| + 1, the "2" in front of the absolute value affects the vertical scale, while the "+2" inside the absolute value causes a horizontal shift of 2 units to the left.

3. Start plotting points on the coordinate plane. To determine the behavior of the graph, consider a few x-values.

  - When x = -4, we have f(-4) = 2|-4+2| + 1 = 2| -2| + 1 = 2(2) + 1 = 4 + 1 = 5. So, we have the point (-4, 5).

  - When x = -2, we have f(-2) = 2|-2+2| + 1 = 2| 0| + 1 = 2(0) + 1 = 1. So, we have the point (-2, 1).

  - When x = -1, we have f(-1) = 2|-1+2| + 1 = 2| 1| + 1 = 2(1) + 1 = 3. So, we have the point (-1, 3).

  - When x = 0, we have f(0) = 2|0+2| + 1 = 2| 2| + 1 = 2(2) + 1 = 5. So, we have the point (0, 5).

  - Continue this process for other values of x to obtain more points.

4. Plot all the points on the graph and connect them smoothly. Remember to maintain symmetry concerning the y-axis due to the absolute value function.

5. The resulting graph will have a "V" shape, with the vertex at the point (-2, 1). The line will extend upward on both sides, following a steep slope with a vertical stretch of 2.

6. Label the axes and any other relevant points to complete the graph.

By following these steps and utilizing the Ray tool, you can accurately graph the given absolute value function f(x) = 2|x+2| + 1.

For more such questions on graph, click on:

https://brainly.com/question/19040584

#SPJ8

As an estimation we are told 5 miles is 8 km.
Convert 7.5 miles to km

Answers

Answer:

Since it’s as an estimation it’d be 12km.

Your just adding 2.5 miles to 5 miles. 2.5 miles is half of 5 miles so that’d equally be half of 8 kilometers. Which is 4 kilometers.

Add the 5 mile equivalent of 8 kilometers to the 2.5 mile equivalent of 4 kilometers, and you get 12km as an estimate.

In one grade of 150 students, the ratio of boys to girls is 2 : 3.

How many boys are in that grade?

Answers

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.

Help plsssssssssssss

Answers

Answer:5

Step-by-step explanation:-7+8=1 so-3+8=5

Solve:
r/5- 6
= -1
My Answer:

Answers

Answer:

r = 25

Step-by-step explanation:

r/5 = 5

5 x r/5 = 5 x 5

r = 25

Answer:

r=25

Step-by-step explanation:

r/5-6+6= -1+6

r/5=5

r/5×5=5×5

r=25

Which best represents the solution set of all real numbers?
[ [ PLEASE ANSWER , I'M CONFUSED ] ]

Answers

Answer:

B.

Step-by-step explanation:

Since the solution set is all real numbers, our solution graph must cover the entire number line.

We can see that B contains the graph that extends infinitely in both directions,  thereby covering the entire number line.

Therefore, our answer is B.

A is not correct because it leaves out [-6, 1] (approximately).

C is not correct because it leaves out everything to the left of -7 and everything to the right of 1.

Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.

Answers

Answer:

1,3,2,4

Step-by-step explanation:

find the percent of the area under the density curve where x is less than 3

Answers

Answer:

The area under the density curve is equal to 100 percent of all probabilities. As we usually use decimals in probabilities you can also say that the area is equal to 1 (because 100% as a decimal is

Answer: 100%

Step-by-step explanation:

got it right on Khan

The price of a video game was reduced from $75 to $45. By what percent was the price of the video game reduced?

Answers

40% please mark brainliest

Answer;

40%

Explanation;

h = 100 * 45 - 75  / 75 = -3000 / 75 = -40 / 1 = 40%

what are the solutions to the quadratic equation 6x^2 + 24X = 0?

Answers

Answer: {0, -4}

Step-by-step explanation: Notice that the two terms on the left side

of the equation have a greatest common factor of 6x.

So start by factoring out a 6x to get 6x(x + 4) = 0.

So either 6x = 0 or x + 4 = 0.

Eventually we find that x = 0 or x = -4.

So our solution set is {0, -4}.

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5)

Answers

Answer:

y = 3x - 11      

Step-by-step explanation:

Step 1:

y = mx + b          Slope Intercept Form

Step 2:

y = 3x + b        Input Slope

Step 3:

- 5 = 3 ( 2 ) + b        Input x and y values

Step 4:

- 5 = 6 + b          Multiply

Step 5:

- 11 = b        Subtract 6 on both sides

Answer:

y = 3x - 11      

Hope This Helps :)

Factor the polynomial expression 27x^6-8

Answers

Answer:

(3 x 2 − 2) (9 x 4 + 6 x 2 + 4)

Step-by-step explanation:

I attached a screenshot that explains more

May I ave brainliest please? :)

2/9x4/2=what. solve the equation

Answers

Answer:

0.44

Step-by-step explanation:

2/9 = 0.22

4/2 = 2

answer = 0.22 x 2

answer = 0.44

Answer:

4/9

Step-by-step explanation:

2/9 × 4/2

⇒ 2×4/9×2

⇒ 8/18

⇒ 4/9

hope this helps you!

⚠️⚠️What should I change ? And why ? ⚠️⚠️
⚠️look at the photo for mor detailed instructions⚠️

DON’T TROLL and if you don’t know don’t answer

Answers

Answer/Step-by-step explanation:

Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.

Stan made changes to
his driving habits and
went from 18 mpg to
22 mpg. What was
Stan's percent
increase in his gas
mileage?

Answers

Answer:

22%

Step-by-step explanation:

what is 54.873015873 rounded to the nearest hundereth please help

Answers

the answer is 54.87 as it is the hundreth

Answer:

54.87

Step-by-step explanation:

Find the simple interest earned-

$580, 2%, 6 months ​

Answers

Answer:

$69.60 earned in interest

Step-by-step explanation:

580(.02)(6)

I would appreciate some help thankyou :)

Answers

Answer:

12 and 40

Step-by-step explanation:

You add it up! I hope this helps!! Have a great day!

What is the slope of this line?



Enter your answer as a fraction in simplest term in the box

Answers

Answer:

m = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points given from the graph.

Point (0, 2)

Point (7, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-2}{7-0}[/tex]Subtract:                       [tex]m=\frac{0}{7}[/tex]Divide:                          [tex]m=0[/tex]

Any horizontal line will have a slope of 0.

And we have our final answer!

GOD WILL GIVE YOU A BILLION DOLLARS IN THE FUTURE!!! $$$$
How would I solve the slope for this? FULL SOLUTION AND FORMULA AS WELL PLEASE... GOD BLESS AND U WILL GET A BILLION DOLLARS IF YOU ANSWER. TRUST.

Answers

Answer

Step-by-step explanation:

cos(x+y) + cos(x-y) = 2cosx cosy​

Answers

Answer:

Step-by-step explanation:

the given equation

cos(x+y)+cos(x-y)=2cos(x)*cos(y)

[cos(x)cos(y)-sin(x)sin(y)]+cos(x-y)=2cos(x)*cos(y) ..

[cos(x)cos(y)-sin(x)sin(y)]+[cos(x)cos(y)+sin(x)sin(y)]=2cos(x)*cos(y)

[cos(x)cos(y)+cos(x)cos(y)]]+[sin(x)sin(y)-sin(x)sin(y)]=2cos(x)*cos(y) ..

2cos(x)*cos(y)=2cos(x)*cos(y)

L.H.S=R.H.S

Hence proved

Show for y
3x + 2y = 6​

Answers

Step-by-step explanation:

3x + 2y = 6

-3x -3x

2y = 6 - 3x

/2 /2 /2

y = 3 - 1.5x

Do you want me to solve for y because that’s y=3- 3x/2
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