m∠1=(3x+21)° and m∠3=(4x+9)° what is the value of x

Answers

Answer 1

Value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

What are vertical opposite angles?

" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."

According to the question,

Given measure of angles,

[tex]m \angle1 = (3x + 21)\°[/tex]

[tex]m \angle3= (4x + 9)\°[/tex]

Consider both the angles as vertically opposite angles we get,

[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]

Hence, value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

Learn more about vertical opposite angles here

https://brainly.com/question/18045519

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Related Questions

Please help ASAP

The painting shown at the right has an area of 280 in2. What is the value of x?
(4x+5) in.
(Simplify your answer. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed. Use a comma to
separate answers as needed.)

Answers

i don’t know I’m only in 7th grade but 56

IM STUCK ON THIS QUESTION RIGHT NOW OFFERING 10 POINTS plsssss don't guess for points​

Answers

Answer:

56

Step-by-step explanation:

So you just need to find 7 + what is equal to 63. To find this we have to do inverse operation, which means the opposite operation. So, we do 63-7 which is equal to 56. Therefore, the solution to the equation, or x is equal to 56 (C).

Hope this helps !!

-Ketifa

WILL GIVE BRAINLIEST!! 100 POINTS!
NO OUTSIDE WEBSITE LINKS, AND ANSWER WITH DIAGRAM AND EXPLANATION/PROOF
a line and a line segment are given. Construct a line parallel to the given line on a distance equal to the given segment.

I WILL report if your answers are inappropriate or contain external links :)

Answers

Need photo of the segment.

please solution and answer a and b thanks you ​

Answers

Answer:

A) 2280 and length is 12mm and width is 190mm

B) 190, 12

Step-by-step explanation:

Area of 1 cylinder: 456

456*5= 2280

38*5=190

diameter:190mm

height:12mm

190*12= 2280

A quadratic function and an exponential function are graphed below. Which graph most likely represents the quadratic function? (5 points)

graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37


f(x), because an increasing exponential function will eventually exceed an increasing quadratic function

g(x), because an increasing quadratic function will eventually exceed an increasing exponential function

g(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect

f(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect

Answers

Answer:

It's A

Step-by-step explanation:

I just did the test and it is A

2x +3=5 so what is the value of x

Answers

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Therefore, the value of x is 1

Hope it helps :)

Answer:

x=1

Step-by-step explanation:

Hi there!

2x+3=5

Our goal is to isolate x on one side of the equal sign, and we can do this using inverse operations. For example, the inverse operation of addition is subtraction. Subtract both sides of the equation by 3 to isolate 2x:

2x+3-3=5-3

2x=2

The inverse of multiplication is division. Divide both sides by 2:

2x÷2=2÷2

x=1

I hope this helps!

What is the solution to the linear equation?
+pag+
O p = 1
O p = 2
o p= 8
O p = 10

Answers

The answer is p = 1.

The solution of the equation will be 1. Then the correct option is A.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

2/5 + p = 4/5p + 3/5

Simplify the equation for p, then we have

2/5 + p = 4/5p + 3/5

p - 4/5p = 3/5 - 2/5

1/5 p = 1/5

p = 1

The solution of the equation will be 1. Then the correct option is A.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ7

I need help with this ASAP

Answers

Given:

Radius of the circle = 6 inches

Central angle = 75 degrees.

To find:

The length of subtended arc, i.e., x.

Solution:

The formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle.

Putting [tex]s=x, r=6, \pi=3.14, \theta =75^\circ[/tex] in the above formula, we get

[tex]x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}[/tex]

[tex]x=2(3.14)(6)\times \dfrac{5}{24}[/tex]

[tex]x=7.85[/tex]

[tex]x\approx 7.9[/tex]

Therefore, the value of x is 7.9 inches.

Answer:Radius of the circle = 6 inchesCentral angle = 75 degrees.

Step-by-step explanation:

write the equation in it's simplest form or as
[tex] \sqrt[n]{b} [/tex]
[tex] \sqrt[3]{56} [/tex]

Answers

9514 1404 393

Answer:

  2∛7

Step-by-step explanation:

Putting the expression in simplest form will factor cubes from under the radical.

  [tex]\displaystyle\sqrt[3]{56}=\sqrt[3]{2^3\cdot7}=\boxed{2\sqrt[3]{7}}[/tex]

Suppose that 2 balls are chosen without replacement from an urn containing 5 white and 8 red balls. Let X1 equal 1 if the 1st ball selected is red, and let it equal 0 otherwise. Let X2 equal 1 if the 2nd ball selected is red, and let it equal 0 otherwise. (i) Give the joint probability mass function of X1 and X2. (ii) Are X1 and X2 independent

Answers

Answer:

The probability mass function :

P(X1 = 1, X2 = 1) = 5/13 * 4/12 = 5/39

P(X1 = 1, X2 = 0) = 5/13 * 8/12 = 10/39

P(X1 = 0, X2 = 1) = 8/13 * 5/12 = 10/39

P(X1 = 0, X2 = 0) = 8/13 * 7/12 = 14/39

Step-by-step explanation:

Given :

Number of white balls = 5

Number of red balls = 8

Total number of balls = (5 + 8) = 13

P(X1 = 1, X2 = 1) = 5/13 * 4/12 = (5/13 * 1/3) = 5/39

P(X1 = 1, X2 = 0) = 5/13 * 8/12 = (5/13 * 2/3) =10/39

P(X1 = 0, X2 = 1) = 8/13 * 5/12 = (2/13 * 5/3) =10/39

P(X1 = 0, X2 = 0) = 8/13 * 7/12 =(2/13 * 7/3) = 14/39

Can y’all help me on question 12?!

Answers

Answer:

C)

Step-by-step explanation:

5 x 3 = 15

15 + 6 = 21

Your answear is C

Answer:

C,D, and F should be the correct answers.

Step-by-step explanation:

C. 5(3)= 15+6=21

D. 7(3)= 21-2=19

F. 5(3)=15

Find the surface area of the rectangular prism

Answers

Answer:

200 is your answer

Step-by-step explanation:

First, multiply:

8 × 5 × 4 = 160

Then, multiply:

4 × 5 × 2 = 40

Next, add them up.

160 + 40 = 200

Lastly, have a great day!

Unit test Which of the x-values are solutions to the following inequality? 2 > 111​

Answers

Answer: C

Step-by-step explanation: It is C because X is greater than (>) 111, and 119 is greater than 111. Good luck on the test!  

write the product using exponents. 1/5 x 1/5 x 1/5 x 1/5 x 1/5

Answers

Answer: 1/5 with an exponent of 5.

hope this helps :)

Find x.
Round to the nearest tenth.
7cm
7cm
10 cm
x = [? ]cm

Answers

Answer:

x = 4.9

Step-by-step explanation:

We can use the intersecting chords formula:

(segment piece) x (segment piece) =    (segment piece) x (segment piece)

7*7 = 10x

49 = 10x

Divide each side by 10

49/10=10x/10

4.9 = x

Please like and give me Branlist and rate Thank you!

Please help giving brainliest please

Answers

The answer is A. You just need to add 117,000 + 71,500= 184,500. Is this answer fine?

Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.

What is the volume of this box?


192in³

275in³

37512 in³

425in³

Answers

Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is [tex]425in^{3}[/tex]

Need help
Kinda forget everything

Answers

Answer:

Option E

Step-by-step explanation:

GIVEN :-

β ≠ 3γ

TO FIND :-

Value of x

SOLTION :-

[tex]x - \frac{\beta x}{3\gamma} = \alpha[/tex]

Take 'x' common from L.H.S.

⇒ [tex]x ( 1 - \frac{\beta}{3\gamma} ) = \alpha[/tex]

Substract the terms in the brackets

⇒ [tex]x (\frac{3\gamma - \beta }{3\gamma} ) = \alpha[/tex]

Now , take the whole term in brackets to R.H.S.

⇒ [tex]x = \frac{\alpha }{\frac{3\gamma - \beta }{3\gamma} } = \alpha(\frac{3\gamma}{3\gamma - \beta}) = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex]

CONCLUSION :-

∴  [tex]x = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex] (Option E)

Use the first five terms of the exponential series of ex and a calculator to approximate the value of e0.8 to the nearest hundredth.
a.
2.24
c.
4.24
b.
2.22
d.
4.22

Answers

The answer should be C

Answer:

.632

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

Step-by-step explanation:

Im just guessing but i think it would be b... if i'm wrong im really sorry

What is the slope of the line through the points (2,5) and (6, 13)?

Answers

Answer:

m = 2

Step-by-step explanation:

[tex]\frac{13-5}{6-2}=\frac{8}{4} =\boxed{2}[/tex]

Hope this helps.

Solve (2 - x)^2 < 4/25

Answers

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2)  <±sqrt( 4/25)

Make two equations

2-x < 2/5    2-x > -2/5

Subtract 2 from each side

2-x-2 < 2/5 -2          2-x-2  > -2/5-2

-x < 2/5 -  10/5             -x > -2/5  - 10/5

-x < -8/5                         -x > -12/5

Multiply by -1, remembering to flip the inequality

x> 8/5                   x < 12/5

8/5 < x< 12/5

What is the slope of (2,-12), (18,15)

Answers

Answer:

Step-by-step explanation:

The slope of a line given two points [tex](x_0,y_0)[/tex] and [tex](x_1,y_1)[/tex] is

[tex]m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}[/tex]

Please please help!!!!

Answers

Answer:

280 inches

Step-by-step explanation:

8 x 8 = 64

9 × 24 = 216

64 + 216 = 280

Katherine has at least 2 hours of homework every night. If "h" is the number
of hours of homework, write an inequality that represents the sentence
above.

Answers

Answer:

[tex]h \geq 2[/tex]

Step-by-step explanation:

h has to be 2 or more since there is at least 2 hours.

A walkway forms one diagonal of a square playground. The walkway is 32 m long. How long is each side?

Answers

Answer:30.45751052, or 30.5

Step-by-step explanation:

since you know that the playground is a square, a diagonal would cut the square into 2 45-45-90 triangles, now that you know that information, there is a really easy way to solve the problem, the way i did it was i used the law of sines, which states that side a/sin(angle A)=side b/sin(angle B). so 32/sin(90)=30.7943... substitute that into the equation and you get 30.7943... =side b/sin(angle B). since you know that angle B =45 degrees take the sin of that and multiply it by 30.7943 to get the answer.

In the school cafeteria there are 20 seats at each table.
How many tables are needed for 250 students?

Answers

Answer:

12.5

Step-by-step explanation:

you can solve this by dividing 250/20=12.5

There are 120 students and 10 teachers at a small private school. To keep the same
student to teacher ratio, how many teachers are needed for 240 students?

Answers

Answer:

20

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which is the ordered pair for Point B? A. (2, 8) B. (6, 8) C. (6, 6) D. (8, 6) Part B Which point is at (8, 2)? A. A B. B C. C D. None of these Part C What are the coordinates of point A? Enter your answer in the boxes. ( , ) Part D What are the coordinates of the fourth vertex of the rectangle? Enter your answer in the boxes. ( , )
HELP!!

Answers

Answer:

Part A

Which is the ordered pair for Point B?

A. (2, 8)

 B. (6, 8)

 C. (6, 6)

 D. (8, 6)

Part B

Which point is at (8, 2)?

A. A

 B. B

 C. C

 D. None of these

Part C

What are the coordinates of point A?

Enter your answer in the boxes.

(

2

,

8

)

Part D

What are the coordinates of the fourth vertex of the rectangle?

Enter your answer in the boxes.

(

0

,

0

)Step-by-step explanation:

Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent. a. 38% of the moon will be visible b. 9% of the moon will be visible c. 35% of the moon will be visible d. 99% of the moon will be visible

Answers

Answer:

B  

y = 0.508 sine (0.212 x minus 1.529) + 0.512

Step-by-step explanation:

just took the test

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