ZA and ZB are vertical angles. If mA = (2x - 4)º and mZB = (4x - 30),
then find the value of x.

Answer:

35cm

120cm^2

Step-by-step explanation:

Answer:

1. The perimeter of figure a is 36 cm.

2. The area of figure a is 60 cm².

3. The perimeter of figure b is 14.25 in.

4. The area of figure b is 7.031 in².

If it's wrong tell me

Answer:

f^12

Step-by-step explanation:

f^4  * f^8

We that a^b * a^c = a^(b+c)

f^(4+8)

f^12

Hello!

We have the following expression:

[tex]\bf{f^4*f^8}[/tex]

Recall the Properties of Exponents:

[tex]\bold{a^ma^n=a^{m+n}}[/tex]

According to the property, if we have the same bases multiplied together, then we just add their exponents:

[tex]\bf{f^4f^8=f^{4+8}}[/tex]

Simplify:

[tex]\bf{f^{12}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

[tex]\rule{2}{2}[/tex]Knowledge is Power!

Answer: Amia is correct

Step-by-step explanation:

the total bill would be $46.82

Answer:

2.5

Step-by-step explanation:

Let M and P stand for the money that Mike(M) and Pete(P) have.

We discover that M + P = $84.00

We also find that M = $24.00

This means that :

M + P = $84.00

$24.00 + P = $84.00

P = $60.00

The ratio of P to M is ($60.00/$24.00) or 2.5   (P/M - 2.5)

The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have a right-angle triangle in the figure in which:

Length of the hypotenuse = x unit

Length of the side opposite to the angle = 12

And the angle is given between sides adjacent to the angle to the hypotenuse = 24°

We know the:

[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]

[tex]\rm sin24 = \frac{12}{x}[/tex]

[tex]\rm x = \frac{12}{sin24}[/tex]

x = 29.50 units

Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

Know more about trigonometry here:

brainly.com/question/26719838

Answer:

8.60 inches

Step-by-step explanation:

The equation for circumference is 2πr. So we can solve for r (radius).

27inches=2πr

divide both sides by 2π :

r=4.299

The equation for diameter is 2*r so we just multiply

4.299 *2 = 8.598

since we have to round to the hundredth place the answer would be

8.60

The approximate diameter of the circular clock is 8.60 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given that,

Circumference of the clock = 27 inches

The formula to find the circumference is,

C = 2πr

where r is the radius.

2r is the diameter.

2πr = 27

2r = 27 / 3.14

2r = 8.5987 ≈ 8.60

Hence the diameter of the clock is 8.60 inches.

Learn more about Circumference here :

https://brainly.com/question/17009295

#SPJ2

well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]

now let's apply as 12% tax on that sale amount

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]

0.625

Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.

Dividing 5/8, It's Equal To 0.625

Step-by-step explanation:

5/8 = O.625

Answer: c-3

Step-by-step explanation:

it is wanting you to take c minus 3

Answer:

Fraction form: 1/8

Decimal form: 0.125

Step-by-step explanation:

Slope of line = [-6 - (-8)]/[8 - ( -8)]

= [-6 + 8]/[8 + 8]

= 2/16

= 1/8

= 0.125

Answer:

1/3x+1/2

Step-by-step explanation:

The vertices of the hyperbola are the x-intercepts of the hyperbola

The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

The equation of a hyperbola is represented as:

[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]

The vertices are (20,0) and (-20,0).

So, the center of the hyperbola is:

(h,k) = (0,0).

Also, we have:

a = 20

This gives

[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]

Evaluate

[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]

Substitute 20 for a

[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]

The length of the conjugate axis is:

l = 18 units

So, we have:

[tex]b = \frac{18}2 = 9[/tex]

The equation becomes:

[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Read more about hyperbola at:

https://brainly.com/question/26250569

Answer

The population of the city in 24 years will

be approximately 2,024,467.3206337208

What is the population in 24 years?

The formula for calculating future value:

Population:- 2,024,466

Answer:

They felt it gave the commissioners too much power and was unfair to slaves by giving them a trail without injury

Answer:

x=3

Step-by-step explanation:

4(x-2)=4.         divide both sides by 4

x-2=1.               add 2 to both sides

x=3

Answer:

2(x-4)

Step-by-step explanation:

* means multiplied by

2 is multiplied by the difference of a number and 4

multiplied by separates

2 AND "by the difference of a number and 4"

"by the difference of a number and 4" is in a parenthesis

"a number" means x

"the difference" means minus or -

2 is multiplied by the difference of a number and 4 =

2 * (x-4) =

2(x-4)

So that is how it goes hope this helps

Answer: I think the answer is 25 nickels? Im sorry if I get it wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution to the system of equations is (-3, -5) because the point satisfies both equations

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

Line A:

y = x − 2  (1)

Line B:

y = 3x + 4   (2)

Solving both equations simultaneously gives:

x = -3, y = -5

The solution to the system of equations is (-3, -5) because the point satisfies both equations

Find out more on linear function at: https://brainly.com/question/4025726

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log(2x - 3) = - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x - 3 = {10}^{ - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 0.1 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3.1 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 1.55[/tex]

Step-by-step explanation:

is this what you were looking for?

Answer:

7.5 minutes

Step-by-step explanation:

90 seconds is equivalent to 1.5 minutes

1.5×5=7.5

Answer:

2:4

Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry

Answer:

  B.  (15, 19)

Step-by-step explanation:

To check to see if a particular ordered pair is a solution to an equation, use the values for the variables and see if the equation is true.

A. 4/5(0) +7 = 7 ≠ 1

B. 4/5(15) +7 = 19 . . . . . . is a solution

C. 4/5(-5) +7 = 3 ≠ 11

D. 4/5(-2) +7 = 27/5 ≠ 1

__

A calculator can help with this.

Answer:

x=2

Step-by-step explanation:

2(x)+5 =9
2(2)+5=9

Answer: The number is 2

Creating an Equation:

     The underlined portion of the sentence becomes a part of our mathematical equation in the next line.

           2 times some number plus 5 equals 9

           2 times n plus 5 equals 9

           2n plus 5 equals 9

           2n + 5 equals 9

           2n + 5 = 9

Solving our Equation:

     I will take the equation we created, and isolate variable n to solve.

           2n + 5 = 9

           2n + 5 - 5 = 9 - 5

           2n = 4

           (2n ) / 2 = (4) / 2

           n = 2

Answer:

27 children

Step-by-step explanation:

For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.

39 / 13 = 3

There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.

3 * 9 = 27

Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)

Answer:

14 weeks

Step-by-step explanation:

First, write as an equation with x the number of weeks Ayan and Gemma's money:

-> Ayan's money: 48+10x because every week he wins 10 more dollars

-> Gemma's money 300-8x

Finally just solve the equation for x where ayan's money = gemma's money so :

48+10x=300-8x

add 8x on both side: 48+18x=300

substract 48 on both side to isolate x : 18x =252

devide by 18 on both side : x=14

Answer:

1. Z-24 < 12

2. A-12.65 ≤ 26,000

3. Z-999 < 500

4. -10x ≥ 25

5. f - -1 < 0 or f+1 < 0

6. y/14 ≥ 0.5

in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]