Find the measures of all four angles if m∠2 − m∠1=30°

Find The Measures Of All Four Angles If M2 M1=30

Answers

Answer 1

Answer:

m∠1 = m∠3 = 75°

m∠2 = m∠4 = 105°

Step-by-step explanation:

From the figure attached,

m∠1 + m∠2 = 180° [Supplementary angles]------(1)

Since, m∠2 - m∠1 = 30°

m∠2 = 30° + m∠1 -----(2)

By substituting the value of ∠2 from equation (2) to equation (1),

m∠1 + (m∠1 + 30°) = 180°

2(m∠1) + 30° = 180°

2(m∠1) = 150°

m∠1 = 75°

Therefore, m∠2 = 180°- m∠1 = 180° - 75°

                  m∠2 = 105°

Since, ∠ 2 ≅ ∠4 [Vertical angles]

m∠2 = m∠4 = 105°

Similarly, ∠1 ≅ ∠3 [Vertical angles]

m∠1 = m∠3 = 75°


Related Questions

PLEASE HELP ASAP!!!!!

Answers

Answer:

D

Step-by-step explanation:

The correct answer will be D

Find the missing term in the pattern. 2,8, 27, 85, 260, ___, 2365

Answers

Answer:

260 x 3 + 6 = 786

Step-by-step explanation:

2 x 3 + 2 = 8

8 x 3 + 3 = 27

27 x 3 + 4 = 85

85 x 3 + 5 = 260

and so on..........



which shapes are congruent to shape I in question 1

Answers

There is no picture attached

Answer:

Step-by-step explanation:

sample answer:

Shapes II, IV, and V are all congruent to shape I.

Use elimination to solve and match each system of equations to the correct solution.

5x+12y=-34
2x+4y=-12

Answers

Answer:

x = -2 y= -2

Step-by-step explanation:

5x+12y= -34

2x+ 4y = -12

2x= -4y -12

x= -2y -6

plug back in

5(-2y -6) +12y = -34

-10y -30 +12y = -34

2y = -4

y= -2

2x+4y=-12

4y= -2x -12

y= -.5x -3

plug back in

5x+ 12(-.5x-3)=-34

5x -6x -36 = -34

-x = 2

x= -2

Answer:

Step-by-step explanation:

5x + 12y = -34

-6x - 12y = 36

-x = 2

x = -2

5(-2) + 12y = -34

-10 + 12y = -34

12y = -24

y = -2

(-2, -2)

Anna's pulse rate is 30% higher than its normal rate of 70bpm. What is her pulse rate?

Answers

Answer:

  91 bpm

Step-by-step explanation:

  (70 bpm)(1 +30%) = 70·1.30 bpm = 91 bpm

Anna's pulse rate is 91 bpm.

Find the product. -8x^5y^2 * 6x^2y​

Answers

Answer: -48x^7 y^3

Step-by-step explanation: Simplify the expression.

I hope this helps you out. :)

Whats 1+1 ? I need help ASAP im rlly confused

Answers

Answer:

2

Step-by-step explanation:

hold one finger up, and add another, then count how many fingers you have

Answer:

2

Step-by-step explanation:

What is the easiest way to learn math?

Answers

The easiest way in my opinion is to look for things online and to practice. Memories the definitions and equations but always practice because math isn’t just definitions its knowing how to do the work.

Answer: being positive

Step-by-step explanation:try to take math as your favorite subject and just let the negative thought about math Flow away..try to listen to the teacher keenly as u do in your best subject

Please help me the question is on the file ;-;

Answers

Answer:

D) 3x + 15 ≥ 300

Step-by-step explanation:

The rectangle must have a area of AT LEAST 300 square ft, or 300 or greater. Use the greater than or equal sign: ≥ 300.

Note that your are solving for the area, and that this shape is a rectangle. To get the area of the rectangle, simply multiply length and width:

(3) * (x + 5) = Area of rectangle.

Distribute the 3 to all terms:

3(x + 5) = 3x + 15 = Area of rectangle.

Put the two parts together:

3x + 15 ≥ 300.

~

Answer:

The last answer.

Step-by-step explanation:

The area of a rectangle is

Area=(width)*(length)

If we substitute the 2 given values into the formula we will get

Area= 3(x+5)

=3x+15

Since it's asking that it has to be "at least 300", it's saying that the equation has to be 300 or more.

3x+15>(less than or equal to) 300.

8 minus the quotient of 15 and x

Answers

Answer:

[tex]8 - \frac{15}{x}[/tex]  

I hope this helps!

Answer:

8 - 15/x

Step-by-step explanation:

Quotient =

[tex]\frac{15}{x}[/tex]

So 8 minus the quotient of 15 and x equals

[tex]8-\frac{15}{x}[/tex]

How does the outlier affect the standard deviation in the following set of data?
9 9 10 10 12 15 16 16 17 17 17 20 23 28
5.32
Removing the outlier lowers the standard deviation by 1.09
No outlier
4.23

Answers

Answer:

Removing the outlier lowers the standard deviation by 1.09

Step-by-step explanation:

Find the standard deviation of the data WITHOUT the outlier first.

If you don't know how to do standard deviation, here are the steps:

1. Find the mean

2. Subtract the mean by the data set values

3. Square the differences

4. Add the squared numbers together and divide by the number of data set values

5. What you have now is the variance, and all you have to do now is square the variance and you have the standard deviation

Repeat this, but WITH the outlier this time.

Final step, just subtract the smaller number (answer you got from the data with the outlier) by the greater number (answer you got from the data without the outlier) and you have your answer: 1.09!

Point E is between segment DF. The length of DE is 3x - 1, EF is 13 and DF is 6x, find DF.

Answers

Answer:

The correct answer to this problem is x = 4.

Step-by-step explanation:

To solve this problem, we can set up an equation using the given information.  We know that Point E lies along the segment DF, so we can write:

DE + EF = DF

Now, we can substitute the values given into our equation.

(3x-1) + (13) = 6x

The next step is to eliminate the parentheses and combine like terms on the left side of the equation.

3x - 1 + 13 = 6x

3x + 12 = 6x

Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.

12 = 3x

Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.

4 = x

Therefore, the correct answer is x = 4.

Hope this helps!

BRUH SOMEONE HELP ME

also explain:)

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

So we have the function:

[tex]w(x)=3x-7[/tex]

And we want to find x when w(x) is 14.

So, substitute 14 for w(x):

[tex]14=3x-7[/tex]

Add 7 to both sides. The right cancels:

[tex]21=3x[/tex]

Divide both sides by 3:

[tex]x=7[/tex]

So, the value of x is 7.

The correct answer is the first option.

Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of the grape.

Answers

Answer:

$1.25

Step-by-step explanation:

3.2/2.56=1.25

Answer:

1.25

Step-by-step explanation:

3.2/2.56=1.25 i know because i am the future

What is the solution of the inequality ⅚ x - 3 < 2 ?

Answers

the answer to the inequality is..

Inequality Form: x < 6

Interval Notation: (-∞,6)

can anyone help me with the pictures below? Will mark brainliest!

Answers

Answer:

a is, A to c, B E to f, c is g to h I think? 2 a is no, cause it doesn't add up to 90, b is no for the same reason and c is no.

Step-by-step explanation:

i hope I helped I'm iffy on A)c

Answer:

In a. hypotenuse is AC

In b. hypotenuse is EF

In c. hypotenuse is HG

2.

a. is right triangle

b. is not right triangle

c. is right triangle

Step-by-step explanation:

in first question we have to find the hypotenuse and hypotenuse is always the side opposite to 90 degree angle

in second question we have to square each of the sides if sum of two squared side equal to the third one that triangle is right angle triangle

Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?

Answers

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

(+2) – (-6) what's the answer to this please write it out​

Answers

Answer:

8

Step-by-step explanation:

+2-(-6)=2+6

the two negatives cancel each other out

2+6=8

Answer:

8

Step-by-step explanation:

2- -6

change subtraction sign to addition

2+-6

change negative sign to positive

2+6

solve

8

HELO ME PLEASE I NEED THIS NOW

Answers

Answer:

172.05

Step-by-step explanation:

formula to find regular pentagon=1/4 root 5(5+2root5)a^2

write quadratic function below in standard form
Y= -2(x+4)^2+4

Answers

Step-by-step explanation:

Y = -2(x+4)² + 4

= -2[x² + 8x +16] +4

= -2x² -16x -32 +4

= -2x² -16x -28

Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents the relationship between the total number of eggs Gaston eats each morning and the number of hens (h) needed to support his diet?

Answers

Answer:

72=2h

Step-by-step explanation:

6x12=72

r-85=114 what is the awnser

Answers

Answer:

[tex]r=199[/tex]

Step-by-step explanation:

hopefully that was the answer you were looking for

Answer:

1.34117647059

Step-by-step explanation:

114 divided by 85 =1.34117647059

hope this helps

Charmaine is on the swim team. Each week she swims a total of 6,000 meters. How many kilometers does she swim each week?

Answers

Answer:

1000m = 1 km

:. 6000m=6000/1000 =6km ans

hope it helps

plz mark as brainliest.

6km ans i did this and got it correct

Write an equation for the description
The sum of 13 and a number x is equal to 15.

Answers

I think it’s 13+x=15

greastest common factor of 24 and 18

Answers

Answer: 6

Step-by-step explanation:

the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three

the greatest common factor is 6

whats a+d+k+8? i need a answer ASAP

Answers

since the variables are just variables and the value of them is unknown, i’m pretty the answer is 8adk, because 8 is the only number in this problem and you can’t find the sum of a letter and a number

Use the Distributive Property to simplify 8(y+3)

Answers

[tex]8y+24[/tex]. you multiply all of the values in the parentesys.

Answer:

[tex]\huge\boxed{\sf{8y+24}}[/tex]

Step-by-step explanation:

Hello.

Let's recall that the Distributive Property states that

a(b+c)=ab+ac

Using the formula, let's simplify:

8(y+3)

Multiply 8 times y and 8 times 3 and add the products:

8y

24

Add:

8y+24

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Simplify the expression: 2( 5 t + J) + 3( 2t + 4 J )

Answers

Answer:

16t + 14J

Step-by-step explanation:

1) First, you have to multiply the numbers

New Expression: 10t + 2J + 6t + 12J

2) Now, you have to find the like terms and add them together

New Expression: 16t + 14J

Hope this helps!

The Smith family put a rectangular garden in their back yard. The garden measured 15 34 feet long and 13 13 feet wide. Which is the best estimate of the area of the Smith's garden? Response area

Answers

Answer:

201.4 feet

Step-by-step explanation:

Area of a rectangular garden = length × width

Length of the rectangular garden = 15.34 feet

Width of the rectangular garden = 13.13 feet

Area of a rectangular garden = length × width

= 15.34 feet × 13.13 feet

= 201.4142 feet

Approximately 201.4 feet

The Area of the rectangular garden = 201.4 feet

for rectangular prism rewrite the formula to find the length in terms of area, width, and height

Pls help T-T. Im offering 38 points for this question

Answers

The formula to find the volume is [ v = whl ]

v = volume

w = width

h = height

l = length

We need to solve for l.

v = wdl

Divide wd to both sides

v/wd = l

Best of Luck!

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