In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?

Answers

Answer 1

Given:

Consider the below figure attached with this question.

[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

[tex]m\angle 3=m\angle 4[/tex]

[tex](x+30)^\circ=(2x-80)^\circ[/tex]

[tex]x+30=2x-80[/tex]

[tex]x-2x=-30-80[/tex]

[tex]-x=-110[/tex]

[tex]x=110[/tex]

Now,

[tex]m\angle 3=(110+30)^\circ[/tex]

[tex]m\angle 3=140^\circ[/tex]

Therefore, the measure of angle 3 is 140 degrees.

In The Diagram Mz3= X+ 30 And Mz4 =2x-80. What Is The Measure Of Angle 3?

Related Questions

Find the perimeter of the image below

Answers

Answer:

46

Step-by-step explanation:

Answer:

26.1

Step-by-step explanation:

Took the same test lol

is y – 4x = 9 a function?

Answers

no i don’t think soooo

473 heartbeats in 5 1/2 minutes

Answers

Answer:

86 heartbeats per minute

Step-by-step explanation:

i assume that's your question?

the number of heartbeats per minute is 86.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes

Number of heart beats per minute = Total number of heart beats ÷ Number of minutes

= 473÷ 11/2

= 473×2/11

= 43×2

= 86 beats per minute

Therefore, the number of heartbeats per minute is 86.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

A typical ID number in a college class consists of a four-digit number, such as 0119. When an ID number is randomly selected, what is the probability that no two of its digits are the same

Answers

Answer:

[tex]Probability = 0.504[/tex]

Step-by-step explanation:

Given

[tex]ID: 4\ digit\ number[/tex]

Required

Determine the probability that no two digit is repeated

First, we need to determine the total possible number of pins (with repetition)

Each of the 4 ID digit can be selected from any of the 10 digits (0 - 9).

i.e.

[tex]First = 10[/tex]

[tex]Second = 10[/tex]

[tex]Third = 10[/tex]

[tex]Fourth = 10[/tex]

[tex]Total = 10 * 10 * 10 * 10[/tex]

[tex]Total = 10000[/tex]

i.e.

[tex]n(Repetition) = 10000[/tex]

Next, we determine the total possible number of pins (without repetition)

Once a digit is selected from any of the 10 digits (0 - 9), it can no longer be repeated.

i.e.

[tex]First = 10[/tex]

[tex]Second = 10 - 1 = 9[/tex]

[tex]Third = 10 - 1 - 1= 8[/tex]

[tex]Fourth = 10 - 1 - 1 - 1 = 7[/tex]

[tex]Total = 10 * 9 * 8 * 7[/tex]

[tex]Total = 5040[/tex]

i.e.

[tex]n(No\ Repetition) = 5040[/tex]

The probability is then calculated as:

[tex]Probability = \frac{n(No\ Repetition)}{n(Repetition)}[/tex]

[tex]Probability = \frac{5040}{10000}[/tex]

[tex]Probability = 0.504[/tex]

PLEASE THIS IS DUE IN 10 MINUTES!!!!!!!!!!!!!!

The diameter of a decorated plate is 20 centimeters. There is a flower painted every 15.7 centimeters around the edge of the plate. How many flowers are painted on the plate? Use 3.14 for π

Answers

Answer:

4

Step-by-step explanation:

Circumfrence is 2piR or piD, 20x3.14=62.8, 62.8/15.7=4

Answer:

4 flowers

Step-by-step explanation:

-Circumference of a circle formula: dπ (diameter times pi)

-So plug 3.14 for π and 20 for the diameter to solve it:

20(3.14)  which equals 62.8

-Do 62.8 divided by 15.7 to find how many flowers are around the edge (circumference):

62.8 ÷ 15.7, which equals 4

Answer: 4 flowers

Hope this helped! :)

CAN SOMEONE HELP ME, WILL GIVE BRAINLLEST pls

Answers

Answer:

I think both are 75

Step-by-step explanation:

I know the bottom one is definitely 75.

For the top, if you substitute 75 for the y and 1 for the X, the only answer is 75. Please Mark Brainliest if correct.

What is/are the constant(s) of 2x + 9 + 7x?

Answers

9 because every other number needs to be multiplied but 9 stands alone

Answer:

9 is the constant.

Step-by-step explanation:

2x+9+7x

=9x+9

where 9 is the constant because 9 is the number which is not multiplied to any variables.

Solve the equation 6x+3y=3 to get it into slope-intercept form.

Answers

Answer:

y =− 2 x + 1

Step-by-step explanation:

Can somebody please help me with this!!

Answers

Answer:

612 266.56 centimeters im pretty sure

Step-by-step explanation:

just times them all

NEED HELP
6-9x = 7x - 10x - 30
The value of x is

Answers

Answer: X=6

Step-by-step explanation:    Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6-9*x-(7*x-10*x-30)=0  

Pulling out like terms

1.1     Pull out like factors :

  36 - 6x  =   -6 • (x - 6)  

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

X=6
I took out like terms and solved it down to 36=6 and divided my way to 6

A necklace chain cost $100,00. Beads cost $20,00 each. You spend a total of
$220.00 on a necklace and beads, How many beads did you buy in addition to the
necklace?

Answers

Answer:

6

Step-by-step explanation:

220-100=120, 120/20=6

6 beads. Subtract 100,000 from 220,000 and divide your answer by 20,000

Tuan made a histogram to represent the distances students in his homeroom live from the school.


Which statement is true?


A.

The data distribution is symmetric.

B.

The data distribution is skewed to the left.

C.

The data distribution is skewed to the right.

D.

The data distribution is both symmetric and skewed.

Answers

Answer:

C: The data distribution is skewed to the right.

Step-by-step explanation:

Took the test on Edmentum and got it right.

Hii please help, if you give a correct answer with explaining I’ll give Brain liest or whatever it’s called :)

Answers

The answer is 11. 220/20=11 110/10=11 55/5=11 and so on. I hope this helps:)

Answer:

11

Step-by-step explanation:

Since 20/220, and 10/110, 5/55, 1/11.

WILL MARK BRAINLIEST

Answers

Answer:

x = 15

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side

13x - 15 = 180 ( add 15 to both sides )

13x = 195 ( divide both sides by 13 )

x = 15

What is the area of this quadrilateral?

Answers

Answer:

The area of the quadrilateral is 12 square feet. (B)

Step-by-step explanation:

To find the area of a triangle, we use the formula (L x W) / 2

The bottom triangles are both the same size, so we only need to find the area of one. The width of the triangle needs to be divided by two because we only need to know half of the big triangle on the bottom at the moment. So we have (3 x 2) / 2 = 3. We can then multiply that by two and the area of the bottom triangle is 6. To solve for the top, (3 x 4) / 2 = 6. We can then add together the top and the bottom to get B, 12 square feet.

Hope this helps!

Hedgehog68

if a solution 2(2x-1)=5x^2 is expressed in simplest form a + bi form the value of b is​

Answers

Answer:

b = 0.4899

Step-by-step explanation:

Given;

2(2x-1)=5x²

4x - 2 = 5x²

5x² - 4x + 2 = 0

this is a quadratic equation with;

a = 5, b = -4 and c = 2

[tex]x = \frac{-b \ \ + /-\ \ \sqrt{b^2 - \ 4ac} }{2a} \\\\x = \frac{-(-4) \ \ + /-\ \ \sqrt{(-4)^2 - \ 4(5*2)} }{2(5)} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{16 - \ 40} }{10} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{-24} }{10}\\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (\sqrt{-1} ) }{10} \\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (i )}{10}\\\\ x = \frac{4 \ \ +/-\ \ (4.899) (i )}{10}\\\\ x = \frac{4 \ \ +\ \ (4.899) (i )}{10} \ \ or \ \ x = \frac{4 \ \ -\ \ (4.899) (i )}{10}\\\\[/tex]

in terms of a + bi, it will be simplified as;

[tex]x = \frac{4}{10} + \frac{(4.899) (i)}{10} \\\\x = 0.4 + 0.4899i[/tex]

Therefore, b = 0.4899

When the given expression is expressed in the simplest form of [tex]a+bi[/tex]  then the value of b is 0.4899.

Given-

The given expression in the problem is,

[tex]2(2x-1)=5x^2[/tex]

Simplify this,

[tex]4x-2=5x^2[/tex]

Arrange the above equation,

[tex]5x^2-4x+2=0[/tex]

Compare the above equation with general quadratic equation,

[tex]ax^2+bx+c=0[/tex]

we get,

[tex]a=5[/tex]

[tex]b=-4[/tex]

[tex]c=2[/tex]

Find the roots of the [tex]x[/tex] . The formula to find the roots of a quadratic equation can be given as,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\times5\times2} }{2\times 5}[/tex]

[tex]x=\dfrac{4\pm\sqrt{16-40} }{10}[/tex]

[tex]x=\dfrac{4\pm\sqrt{-24} }{10}[/tex]

[tex]x=\dfrac{4\pm\sqrt{-24}\sqrt{-1} }{10}[/tex]

[tex]x=\dfrac{4\pm 4.899i} {10}[/tex]

Take positive sign we get,

[tex]x=\dfrac{4+ 4.899i} {10}[/tex]

Take negative sign we get,

[tex]x=\dfrac{4-4.899i} {10}[/tex]

Compare the simplified form of  [tex]a+bi[/tex] with the root of [tex]x[/tex]

[tex]x=0.4+ 0.4899i[/tex]

here,

[tex]b=0.4899[/tex]

Hence when the given expression is expressed in the simplest form of [tex]a+bi[/tex]  then the value of b is 0.4899.

For more about the quadratic equation follow the link below-

https://brainly.com/question/2263981

PLSSSS HELPPPPP ILL GIVE BRAINLEIEST
Which sequence follows the rule y=2x+8?
A. 10,12,14,16,18
B .10,28,64,136
C. 1,11,21,31,41
D. 16,32,48,64,80
Pls explain or i will report you for just answering for points.

Answers

D, the answer is 4 and all of the numbers in d are number that can be divided by 4! good luck!

Answer:

a

Step-by-step explanation:

as x would be numbers going up for example y=2(1)+8. 2 times 1 is 2 plus 8 is 10 then u do 2. 2(2)+8 is 2 times 2 which is 4 plus 8 that is 12 and no other sequence is 10,12 so it is A

I need help please !

Answers

Answer:

(-3,-2), (-3,-5), (-4,-5), (-7,-2)

Step-by-step explanation:

anyone else rlly hype FOR ALL THE NEW ANIME COMING IN 2021 LIKE AODNIAOEINOAINDOAEINDAIENd

Answers

Answer:

Excuse me? Sir?/

Step-by-step explanation:

Where were u these days

Answer:

Anime is the only family I'm ever gonna have T^T

Step-by-step explanation:

William is making a pie, he uses 1/2 cup of strawberries. And he uses 2/3 cup of pineapple, What is the total of fruit in Williams Pie?


Please Drop Answers Below. I need this to pass.

Answers

Answer:

1 cup of fruit

Step-by-step explanation:

1/2 cup of strawberries + 2/3 cup of pineapple = 3/3

3/3 = 1

hope this helps

Answer: 1 1/6

Step-by-step explanation:

You are adding the fractions; they do not have the same denominator so you have to find a common denominator which is six. Multiply the numerator and denominator for the first fraction by 3 and multiply the numerator and denominator for the second fraction by 2. After that you are left with a denominator of six and a numerator of 3+4. You you solve 3+4 which equals 7. You then get 7/6 can you simplify that fractions 1 1/6.

Hope this makes sense.

true or false. if there are two solutions to a system of linear equations then there are an infinite number of solutions.

Answers

true :))





hope that helped :))

. Find the values of the variables in ▱DEFG.

Answers

Answer:

sorry i dont have enough information

Step-by-step explanation:

Trinity runs 147 meters in 35 seconds assuming her speed constant: a. write an equation for Trinitys distance, d, in terms of the time she had been running, t. b. how many meters did trinity run if she ran for 1.5 minutes show your work

Answers

Answer:

nb

Step-by-step explanation:

I will give 15 brainly points pls help

Solve for x. Round to the nearest tenth

Answers

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Pythagorean Theorem (Right triangles only): a² + b² = c²

Step-by-step explanation:

Step 1: Define

leg a = x

leg b = 6

hypotenuse c = 13

Step 2: Solve for x

Substitute:                    x² + 6² = 13²Exponents:                   x² + 36 = 169Isolate x term:              x² = 133Isolate x:                       x = √133Evaluate:                      x = 11.5326Round:                          x ≈ 11.5

An ice cream shop sells ice cream cones for $3.50 each. The amount Tyler pays for some ice cream cones (y) is directly proportional to the number he buys (x). Which equation represents the direct proportion?

Answers

Answer:

f(x) = 3.50x

Step-by-step explanation:

Write an expression that shows the sum of exactly two terms that is equivalent to 3(2x + 5y).

Answers

Answer:

6x+15y

Step-by-step explanation:

Just distribute the 3 to the coefficients

6x+15y

Can someone help me with this please?

Answers

if u want i can add u to a snap groupchat where we help each other with work

helpppppppppppp. djhdbxjdj

Answers

Answer: Bro You need to take the picture higher -_-

Step-by-step explanation:

2+4x4x4+5(6-3)x2 divided by 3 = 76

slope intercept form with (-1,2) and (5,4)

Answers

Answer:

m= 1/3

Step-by-step explanation:

m= y2-y1/x2-x1

m= 4-2/5-(-1)

m= 2/6

m= 1/3

15 dimes out of 24 coins express in a fraction or simplest form​

Answers

Answer:

15/24

Step-by-step explanation:

15 of 24 would be 15/24

15\24 is your answer
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