solve for x round to the nearest tenth if necessary

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

[tex]2x+29=9x-13[/tex]

[tex]2x-9x=-29-13[/tex]

[tex]-7x=-42[/tex]

Divide both sides by -7.

[tex]x=\dfrac{-42}{-7}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

Answer:

24

Step-by-step explanation:

ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.

therefore 4x6= 24

Answer:

(1,0) (0,-3)

Step-by-step explanation:

x then y a baby crawls before it walks.

The value of [tex] \:\frac{ - 9 + ( - 11)}{4} + 8\:[/tex] is [tex]3[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{ - 9 + ( - 11)}{4} + 8 \\ \\ = \frac{ - 9 - 11}{4} + 8 \\ \\ = \frac{ - 20}{4} + 8 \\ \\ = - 5 + 8 \\ \\ = 3[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

A and C

Step-by-step explanation:

Only A and C represent a 65% increase

Answer:

155,588

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = growth rate

N = number of years 2021 - 2014 = 7

130,000(1.026)^7 = 155,587.6

rounding off to the nearest whole  number is 155,588

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Answer:

Center (3, -8), radius = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

The Standard Form for the equation of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is the point (h, k) and the radius is r.

Match up the given equation with the standard form.

[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]

That last bit can be tricky, k = -8, not 8.  Watch the signs!

Given:

The graph of a line.

To find:

The equation of the line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{8-(-2)}{-6-0}(x-0)[/tex]

[tex]y+2=\dfrac{10}{-6}x[/tex]

[tex]y+2=-\dfrac{5}{3}x[/tex]

Subtract 2 from both sides.

[tex]y=-\dfrac{5}{3}x-2[/tex]

Therefore, the equation of the line is [tex]y=-\dfrac{5}{3}x-2[/tex].

Answer:

Step-by-step explanation:

let the numbers be n,n+2,n+4

2n+3(n+2)=2(n+4)+55

2n+3n+6=2n+8+55

2n+3n-2n=63-6

3n=57

n=57/3=19

so numbers are 19,21,23

Answer:

-19.333…

-18.333…

-17.333…

Step-by-step explanation:

First is x

Second is x+1

Third is x+2

2x+3(x+1)=2(x+2)-55

2x+3x+3=2x+4-55

5x+3=2x-51

5x-2x=-51-3

3x=-58

3x/3=-58/3

x=-19.333…

x+1=-19.333+1

=-18.333...

x+2=-19.333+2

=-17.333...

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer: 2.20 per candy bar

Step-by-step explanation:

1. 0.40(25) + x(25) = 65

2. 10 + 25x = 65

3. 25x = 55

4. x = 2.20

Answer:

-(5-3) is the answer bcoz - make 5 negative and 3 positive

Step-by-step explanation:

I hope this will help you

Answer:

We need to know the question??

Step-by-step explanation:

Answer:

18.9 km²

Step-by-step explanation:

Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]

0.5(7 × 5.4) = 18.9 km²

Answer:

A = 1/2 bh

1/2 x 7 x 5.4

= 18.9km2

Answer:

C

Step-by-step explanation:

Given

| 6x - 5 | = 7

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

6x - 5 = 7 ( add 5 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

OR

- (6x - 5) = 7 ← distribute parenthesis on left side by - 1

- 6x + 5 = 7 ( subtract 5 from both sides )

- 6x = 2 ( divide both sides by - 6 )

x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]

Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C

Hey buddy I am here to help!

5. y = ax + b

-5 = a*4 + b

-5 = 4a + b

If we take a as -2

-5 = 4*-2 + b

-5 = -8 + b

b = -5 - (-8)

b = -5 + 8

b = 3

so... a = -2 and b = 3

6. (i) y = 5x - 2

(1,7)

y = 7 & x = 1

7 = 5*1 -2

7 = 5 - 2

7 = 3

so this point (1,7) is wrong

(ii) y = 5x -2

we can take any value for x...

e.g. x = 2

y = 5*2 - 2

y = 10 -2

y = 8

SO answer in this case would be (2,8)

Plz mark my answer brainliest

Answer:

B

Step-by-step explanation:

time = 8 years

principle = 6000

Money earned = 3000

Money earned= p * r * t

3000 = 6000 * r/100 * 8

3000 = 48000 * r/100

3000 = 480 * r

3000 / 480 = r

6.25 % = r

Complete Question

Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

From the question we are told that:

Thought of Number x

Multiplied it by 8

 [tex]x*8=8x[/tex]

Subtracted 4

 [tex]8x-4[/tex]

Divided the result by 2

 [tex]\frac{8x-4}{2}[/tex]

Generally the equation for x is mathematically given by

 [tex]\frac{8x-4}{2}=30[/tex]

 [tex]8x-4=60[/tex]

 [tex]8x=60+4[/tex]

 [tex]x=8[/tex]

Answer:

A, P, M, S, W, Q

Step-by-step explanation:

Answer:

20.5 miles per gallon

Step-by-step explanation:

To determine the miles per gallon, take the miles and divide by gallons

164/8

20.5

Answer:

8 2/3

Step-by-step explanation:

Step-by-step explanation:

3.92 - uwuehehrvgrsiehhehehhe

Answer:

He has $3.92.

Hope this helps!

Answer:

D answer

Step-by-step explanation:

x=- 1/ 2 answer is d.

I used process of elimination to solve this: its is A.

I was confused about the 's' in Sw=64 so i decided it had to be either 5 or 8. its 8

8*8=64

Answer:

The triangles are congruent

Step-by-step explanation:

The Triangles are congruent because they have the same side lengths and and angle measures.

Answer:

[tex]25 = 43[/tex]

Step-by-step explanation:

[tex]25 = 46 - 3[/tex]

[tex]25 = 43[/tex]

Answer:

D,0,2,-2

Step-by-step explanation:

2x^5-3x^3-20x=0

x(2x^4-3x^2-20)=0

x=0

or 2x^4-3x^2-20=0

put x²=t

2t²-3t-20=0

-20×2=-40

8-5=3

8×-5=-40

2t²-(8-5)t-20=0

2t²-8t+5t-20=0

2t(t-4)+5(t-4)=0

(t-4)(2t+5)=0

t=4

x²=4

x=2,-2

t=-5/2

x²=-5/2

it gives imaginary  root. so real rational roots are 0,2,-2

Answer:

D

Step-by-step explanation:

1) Factorise x

x(2x^4-3x^2-20) = 0

a product is equal to 0 when at least one factor is equal to 0.

so a solution is

x = 0

we have now to solve

2x^4 - 3x^2 - 20 = 0

we can put

x^2 = y

and we have

2y^2 - 3y - 20 = 0

it is now an equation of second degree

Δ = 9 + 160 = 169

y1 = (3 + 13)/4 = 4

y2 = (3 - 13)/4 = -10/4 = -5/2

for the previous relationship we have

x^2 = 4

x = 2

x = -2

x^2 = -5/2

a square number can’t be negative, so this equation is impossible.

In conclusion we can say that the original equation has three solution:

0, -2, 2

Answer:

The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable