Vertical angles are congruent. Find the measure of angle x. X 38 o x = = [?]​

[tex]\text{Given that,}\\\\~~~~~~~\text{Area} = 25\pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r= 5\\\\\text{Now,}\\\\\text{Circumference}= 2\pi r\\\\~~~~~~~~~~~~~~~~~~~~=2\pi \cdot 5\\ \\~~~~~~~~~~~~~~~~~~~~=10\pi[/tex]

In the design of a package, things to take into consideration are:

The most cost effective and efficient to pack 12 golf balls is through the  use of a small golf bag or a small box that is made specially for that purpose.

The design of the box will be in a rectangle shape where there will be two rows of which the ball is made to fit in till the 12 balls are completely inside the box. The lock is automatic and it is one that can be easily closed and opened easily when one wants to take a ball.

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Answer:

is 3.5

Step-by-step explanation:

you need to use SOH CAH TOA

Answer:

this is how I solve it....

Answer: Heyaa! ~

1.36 rounded to the nearest integer is 1!

Step-by-step explanation:

Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.

Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):

Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.

In short: 1.36 rounded to the nearest whole number is 1.

Hopefully this helps you! ~

Answer:

32

100-68=32

Step-by-step explanation:

Answer:

Angle 1 = 78 degrees

Angle 2= 90 degrees.

Angle 3= 12 degrees

Step-by-step explanation:

For angle 1,

Since all opposite angles of a kite is congruent, if the opposite half of the angle is 78 degrees, then the other opposite half is also 78 degrees.

For angle 2,

Diagonals of a kite will ALWAYS form right angles, this since angle 2 is formed by intersecting diagonals, it would be 90 degrees.

For angle 3,

Opposite angles of a kite are supplementary, meaning that the two angles will form a straight line, or 180 degrees.

We know that 78 degrees is half of one opposite angle, so the opposite angle can be concluded as 156 degrees.

The other set of two angles is unknown, so we take it as this formula:

156+2x=180

We subtract 156 from 180 to cancel out the coefficient.

2x=24

Now we use the division property of equality.

2x/2=24/2

x=12.

Angle 3= 12.

Answer:

350 dollars

Step-by-step explanation:

We're given:

First, find the total cost for student tickets:

Therefore, the total cost for student tickets was 170 dollars.

Now, find the total cost for adult tickets:

Therefore, the total cost for adult tickets was 180 dollars

To find the total cost for the museum tickets, find the sum:

180 + 170 = 350 dollars

Therefore, the museum tickets cost 350 dollars in total.

Answer: A. 42

7/8 = ?/48

8 * 6 = 48

7 * 6 = 42

? = 42

Answer:

17/36

Step-by-step explanation:

Answer:

multiply the base of the perpendicular by its height

Step-by-step explanation:

It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

Answer:

B is correct I hope this helps.

Answer:

2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

The radius of a unit circle is 1 and its diameter is 2 . π can be defined as the ratio of the circumference of a circle to its diameter, hence the circumference of the unit circle is 2π . In general the circumference of a circle of radius r is 2πr

Answer:

The answer is 28. It is easy.

Answer:

T(6,5)

Step-by-step explanation:

Solution,

Let the coordinate of T be T(a,b), where T divides a line AB internally in the ratio 5:2. Given that A is (-4,10) and B is (10,3).

From the section formula,

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Let,

(x,y)=(a,b)

(x₁,y₁)=(-4,10)

(x₂,y₂)=(10,3)

m₁:m₂=5:2

Now substitute the values.

[tex]\hookrightarrow x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}\\\\\hookrightarrow a=\frac{5\times10+2\times(-4)}{5+2},b=\frac{5\times3+2\times10}{5+2}\\\\\hookrightarrow a=\frac{42}{7},\: b=\frac{35}{7}\\\\\hookrightarrow a=6, \:b=5[/tex]

Answer:

Step-by-step explanation:

16 cubes are needed to fill in the prism mad by the net.

Sure hope this helps you

Answer:

[tex]2(n-3)=2n-6[/tex]

Step-by-step explanation:

[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]

Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex].

This measure is equivalent to the length of an arc of 360º.

In this problem, we have that the radius is of r = 3m, hence the circumference is given by:

C = 6 pi m.

Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.

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Since it's an arithmetic sequence,

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, up to

[tex]a_n = a_1 + (n-1)d[/tex]

Now, by substitution,

[tex]a_1 + a_3 + a_5 = -12[/tex]

[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]

[tex]3a_1 + 6d = -12[/tex]

[tex]a_1 + 2d = -4[/tex]

[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]

Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that

[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]

Solve for d :

[tex](4+2d) (4-2d) = -20[/tex]

[tex]16 - 4d^2 = -20[/tex]

[tex]4d^2 = 36[/tex]

[tex]d^2 = 9[/tex]

[tex]d = \pm3[/tex]

If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].

If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].

Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.

A budget is basically a financial forecast of revenue and spending for a given period.

The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.

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Answer:

Size 8

Step-by-step explanation:

A woman's size 8 in kids is a 6 or 6.5 youth shoe size.

Hey there!

8!

= 8(7)(6)(5)(4)(3)(2)(1)

= 56(6)(5)(4)(3)(2)(1)

= 336(5)(4)(3)(2)(1)

= 1,680(4)(3)(2)(1)

= 6,720(3)(2)(1)

= 20,160(2)(1)

= 40,320(1)

= 40,320

Therefore, the answer should be:

40,320

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]2x^2+x-3=(2x+3)(x-1)[/tex]

Step-by-step explanation:

Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:

[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]

Hope this helps! Let me know if you are still confused.

Answer:

f - 65 pages per hour

Step-by-step explanation:

420 - 160 = 260

6 - 2 = 4

260 divided by 4 is 65 on average per hour

Answer:

F. 65.

Step-by-step explanation:

The number of pages he has left to read = 420 - 160

= 260.

So mean number per hour 260/4

= 65.

Answer:

729.

Step-by-step explanation:

-3 /1 =-3

9 / -3= -3

-27/9 = -3

So this is a geometric sequence with common ratio r = -3.

First term a = 1 so

nth term = ar^(n-1)

               =  1(-3)^(n-1)

7th term  =  1(-3)^(7-1)

                =  (-3)^6

                 =  729.

Answer:

x = 3

Step-by-step explanation:

[tex](8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3[/tex]

Answer:

A on edge 23

Step-by-step explanation:

because math

Answer & Step-by-step explanation:

These questions are wanting you to find the sequence and solve for the nth term in said sequence.

The easiest way to do this is to just see the difference between each number, and continue adding or subtracting to the nth term the question is asking for.

For example, the first one is decreasing by 3 every time, so the 7th term will be -4, (the 4th term), subtracted by 3, three more times.

5, 2, -1, -4, -7, -10, -13

The other way to do this is to find the rule, and subsitute in what term is required.

For letter c (the second c), the sequence is 30, 24, 18, 12

The rule is to subtract 6 every time, so -6 n

Since we start our 1st sequence from 30, our rule must start from 30 + 6, the opposite of our rule, which gives us 36.

Our rule is 36 - 6n

So since we are looking for the 11th term, we substutute in 11 into our equation.

36 - 6 n
36 - 6 (11)

36 - 66

-30

This way of thinking will work for the whole set of questions you have here

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

An equation is an expression that shows the relationship between two or more variables and numbers.

During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.

Total number of animals = 6 + 1 + 2 + 3 + 6 + 2 = 20 animals

Percentage of animals that were snakes = (2 / 20) * 100% = 10%

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

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The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

No of action films = 3

No of comedy films=3

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;

[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]

Hence, the  probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

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Answer:

m<1 = 94

m<2 = 132

Step-by-step explanation:

This is a right trapezoid

Since the base lines are parallel, the facing angles would be supplementary and their sum is equal to 180 which means:

m<1 + 86 = 180 so m<1 = 94

and

m<2 + 48 = 180 so m<2 = 132