∠A and angle∠B are vertical angles. If angle ∠A=(3x−8) and angle ∠B=(4x−17) then find the value of x.

Answers

Answer 1

9514 1404 393

Answer:

  x = 9

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠B = ∠A

  4x -17 = 3x -8

  x = 9 . . . . . . . . . . . add 17-3x to both sides

Answer 2

x = 9

Step-by-step explanation:

In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).

Finding the value of x

∠B = ∠A. (Both are vertical angle so, both are equal to each other).

Substitute the values

4 x - 17 = 3 x - 8

Add 17 - 3 x to each side

4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x

combine like terms

4 x + 0 - 3 x = 3 x - 3 x - 8 + 17

x = 0 + 9

x = 9


Related Questions

Calculator
Problem
Find the area of the shape shown below.

Answers

Answer:

what shape?

you gotta give more lol

Need more info to answer

Which one hurry
A.9
B.18
C.27
D.33

Answers

Answer:

It’s c I do believe

Answer:

seriously, talk to your teacher. its 21 units squared.

I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.

so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.

Simplify r^2-2r^3+3r^2

Answers

Answer:

=−2r3+4r2

Step-by-step explanation:

r2−2r3+3r2

=r2+−2r3+3r2

=r2+−2r3+3r2

=(−2r3)+(r2+3r2)

=−2r3+4r2

A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?

Someone please help

Answers

Answer:

Step-by-step explanation:

V = pi r^2 h

V = 187

pi = 3.14

r = 3

h = ?

187 = 3.14 * 3^2 * h

187 = 3.14 * 9 * h

187 = 28.26 * h

187 / 28.26 = h

h = 6.62

Answer:

The height of cylinder is 6.61 inches.

Step-by-step explanation:

Given that :- Volume of cylinder = 187 inches ³.Radius of cylinder, r = 3 inches

We need to Find :-Height of cylinder , h

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinder. h is the height of cylinder.

Solution :-

Using Formula

Volume of cylinder = π × r ² × h

Substitute the values

187 inches ³ = π × ( 3 inches ) ² × h

Using π = 3.14

187 inches ³ = 3.14 × 9 inches ² × h

multiply

187 inches ³ = 28.26 inches ² × h

Divide , we get

187 inches ³ / 28.26 = h

6.61 inches = h

Therefore, The height of cylinder is 6.61 inches.

Answer to the question

Answers

Answer:

(Opt.D) x = 14

Step-by-step explanation:

<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)

∴36 + 11x - 10 = 180

26 + 11x = 180

11x = 180 - 26

11x = 154

x = 154/11

x = 14

Hope this helps u

Please mark as brainliest

Thank You

The position of an atom moving inside a cathode ray tube is given by the function f(t) = t^3− 4t^2 + 3t where t is in seconds and f(t) is in meters. Find the instantaneous velocity of the atom at t = 2.5 seconds. A. 1.75 m/sec. B. 2.48 m/sec. C. 3.27 m/sec. D. 4.12 m/sec.

Answers

Answer:

A

Step-by-step explanation:

The position of an atom moving inside a cathode ray tube is given by the function:

[tex]f(t)=t^3-4t^2+3t[/tex]

Where f(t) is in meters and t is in seconds.

And we want to determine its instantaneous velocity at t = 2.5 seconds.

The velocity function is the derivative of the position function. Thus, find the derivative of the function:

[tex]f'(t)=3t^2-8t+3[/tex]

Then the instantaneous velocity at t = 2.5 will be:

[tex]f'(2.5)=3(2.5)^2-8(2.5)+3=1.75\text{ m/sec}[/tex]

Our answer is A.

Answer:

Instantaneous Velocity:

[tex]\longrightarrow\:\rm v = \dfrac{dt}{dy}[/tex]

[tex]\longrightarrow\:\rm v = \dfrac{d}{dy}( {t}^{3} - 4 {t}^{2} + 3t) \\ [/tex]

[tex]\longrightarrow\:\rm v = 3 {t}^{3 - 1} - 2.4 {t}^{2 - 1} + 3[/tex]

[tex]\longrightarrow\:\rm v = 3 {t}^{2} - 8 t + 3[/tex]

[tex]\longrightarrow\:\rm v = 3 {(2.5)}^{2} - 8 (2.5)+ 3[/tex]

[tex]\longrightarrow\:\rm v = 3 \times 6.25 - 20+ 3[/tex]

[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]

[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]

[tex]\longrightarrow\:\bf v = 1.75 \: {ms}^{ - 1} [/tex]

One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.

On a coordinate plane, the point (3, 0.75) is plotted.

How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).




put it in the comments im out of answers

Answers

the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

How can he use the graph to find an equivalent ratio?

He knows the relation:

3 cups of granola ⇒ 0.75 cups of raisins.

Assuming this is a proportional relation of the form:

y = k*x

Where k is a constant.

Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.

Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

If you want to learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

Richard and Braden are playing a game with a pair of dice. Richard needs a sum greater than 9 to win. What is his probability of winning on his next turn?

Answers

Answer:

5/12

Step-by-step explanation:

Notice that the in the throw of a pair of dice.

Sum               No. of times Favorable outcome

8                                 5

9                                  4

10                                 3

11                                  2

12                                 1

And total otcome = 6×6 =36

There P ( richard win) = P(X≥8)

=  (5+4+3+2+1)/36

=5/12

Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

Can someone please answer this

Answers

80/180, because there in all 180 but 80 boys…i think.

I need the answer to this question

Answers

Answer:

Option(A)

Step-by-step explanation:

y=4x+2

When you replace the value of x in the equation you get the value of y

Answer:

the answer is A since if we lay it out we will get y

-6=-2*4+2

2=0*4+2

6=1*4+2

please help ASAP (math)

Answers

i believe its the third one, because you just plug in the values to the vertex form

(xii) x^6 - 8 divide by x^2 - 2​

Answers

Answer:

1/x^2

Step-by-step explanation:

x^6-8 / x^2-2

x^-2/x^0

x^-2/1

do reciprocal

1/x^2

Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.

Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2

Answers

Answer:

E. Slope: 0

F. Equation: y = -2

Step-by-step explanation:

✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.

The line that is parallel to the x-axis would have a slope of 0 as well.

Therefore, slope (m) = 0

✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.

Substitute (x, y) = (3, -2) and m = 0 into y = mx + b

-2 = 0(3) + b

-2 = 0 + b

b = -2

✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:

y = 0(x) + (-2)

y = 0 - 2

y = -2

graph y > 1 - 3x whats the answer please

Answers

Answer:

see graph

Step-by-step explanation:

que por qué me va a dar 70
what number x anuder number is =70​

Answers

Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10

Step-by-step explanation:

In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.

Answers

Answer:

The change of the person landing on each side is 1/8

Step-by-step explanation:

Can u help me with this?

Answers

Answer:

b

Step-by-step explanation:

it is the right answer pls believe me

change the following into mixed fraction 13/5​

Answers

Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

2 3/5

Step-by-step explanation:

13/5

5*2=10

reminder=3

divisor = 5

Find the area of rectangle whose length is -3/7 and breadth is 16/3​

Answers

Answer:

I'm gonna guess your length is positive and you made a typing mistake. If that's so....

Step-by-step explanation:

Area= length x breadth

       =[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]

       =[tex]\frac{16}{7}[/tex]

       =2.29 [tex]unit^{2}[/tex]

may u plz help me.....

Answers

Hundredths I think,,,,

Answer:

the 3 is in the hundredths place

Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths  

solve for x in parts below:​

Answers

Answer:

x=30°

Step-by-step explanation:

50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)

x=80-50

x=30 degree

x=30 have a great a day

what is the algebraic expression of 3 divided by q please answer grade 6 way

Answers

Answer: 3/q

Step-by-step explanation:

The answer to the question is 3/q

Can someone please help me? You get points and it makes me happy.

Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour?
A. $3.00
B. $6.00
C. $9.00
D. $12.00


No links or fake answers pls. Thanks for understanding.

Answers

The answer is C. $9.00

Answer:

$6

Step-by-step explanation:

(x-3)+x=15

2x-3=15

2x=18

x=9

9-3=6

Melanie makes 6 and Carlita makes 9.

find the solution to 8x^2 + 56x=0

Answers

Answer:

[tex]x = 0, - 7[/tex]

Step-by-step explanation:

[tex]8x^2 + 56x=0[/tex]

[tex]8x(x)+56x=0[/tex]

[tex]8x(x)+8x(7)=0[/tex]

[tex]8x(x+7)=0[/tex]

[tex]x=0 [/tex]

[tex]x+7=0[/tex]

[tex]x=−7[/tex]

Hope it is helpful...

Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

B)

3a2 + 2b2 + 2c2 – ab – 5ac + 5bc

C)

3a2 + 2b2 – 2c2 + ab + 5ac + 5bc

D)

3a2 – 2b2 – 2c2 + ab + 5ac – 5bc

Answers

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]

Answer:

option a is correct

Step-by-step explanation:

(3a + 2b - c)(a - b + 2c)

3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)

multiply the brackets

3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2

combine like terms

3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2

3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc

Classify the triangle

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangles in which 2 sides are equal are called isosceles triangles

Answer:

1 it’s a triangle

2 it has sides and… jk

I don’t really know much especially because you didn’t give me much info but I know it’s an acute angle and it’s a polygon and it’s an isoscele triangle and… that’s all I know. But I’m sorry if I’m a waste of space but I tried my best and I hope i helped. ✌

Step-by-step explanation:

Byeeeeeee

sorry again if I didnt help…

I really tried really hard.

1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60

Answers

Answer:

30°

Step-by-step explanation:

180 - 90 - 60 = 30

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.​

Answers

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

what is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10

Answers

Answer:

(10, 15)

Step-by-step explanation:

To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.

x-intercept occurs at y = 0

If y = 0

2(0)+3x =10

3x =10

x = 10/3

x = 1.33

y-intercept occurs at x = 0

If x = 0

2y+3(0) =10

2y =10

y = 10/2

y = 5

Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)

Hence the required coordinate is (10, 15)

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