A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?

Step-by-step explanation:

the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).

the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.

a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.

so,

c = 180 - 35 = 145°

a = c = 145°

b = 35°

d = 180 - 110 = 70°

e = d = 70°

f = 110°

g = 180 - 125 = 55°

i = g = 55°

h = 125°

j = 180 - 130 = 50°

m = j = 50°

o = k = d = e = 70° (as this line crosses 2 levels)

l = f = 110°

n = 180 - m - o = 180 - 50 - 70 = 60°

s = 180 - 23 = 157°

p = 23°

r = 68°

q = 180 - p - r = 180 - 23 - 68 = 89°

t = 180 - 68 = 112°

v = w = z = 132° (as this line crosses 2 levels)

A = 180 - 132 = 48°

y = x = u = A = 48°

B = 180 - 39 - 47 = 94°

D = B = 94°

C = 39 + 47 = 86°

E = 47°

F = B + 39 = 94 + 39 = 133°

The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon measures 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon will be

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon will be

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius is 30 degrees.

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

2, 4, & 5

Step-by-step explanation:

I did it

But the question is, how much did she spend?

Step-by-step explanation:

[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]

________________________________________________________

Ask me in the comments box.

Answer:

400,000

Numbers given:

After rounding them to nearest hundredth thousand:

Difference:

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

Using relations in a right triangle, it is found that it's area is of 302.2 units squared.

The relations in a right triangle are given as follows:

In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:

[tex]\tan{25^\circ} = \frac{x}{36}[/tex]

[tex]x = 36\tan{25^\circ}[/tex]

x = 16.79.

It is given by half the multiplication of it's sides, hence:

A = 0.5 x 16.79 x 36 = 302.2 units squared.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

31.25 %    or  5/16

Step-by-step explanation:

30 out of 96  chance

30/96 = 31.25%

Answer:The probability that a randomly chosen musician is a guitarist is 30/96.

Step-by-step explanation:

Answer:

The solution to the set of linear equations is:

[tex](5,-4)[/tex]

Step-by-step explanation:

Hey there!

In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y

[tex]6-2x=-4x+16[/tex]

Now we simplify

[tex]2x=10[/tex] ---> [tex]x=5[/tex]

So now that we know that x is equal to 5, we can find the value of y

let's substitute it in one of the equations

[tex]y=6-2(5)[/tex] ---> [tex]y=-4[/tex]

So now we know that the point where the two equations intersect is:

[tex](5,-4)[/tex]

This is going to be our solution

The graph is in an attachment below

Answer:

10 cubic inch is the volume of container

Step-by-step explanation:

This equation is known as slope-intercept form.

Parts of the slope-intercept form equation:

[tex]y=mx+b[/tex]

m represents the slope.

b represents the y-intercept.

In the equation, [tex]-\frac{1}{2}[/tex] is in the placement of m.

We can conclude that [tex]-\frac{1}{2}[/tex] is our slope.

Learn more about the slope of a line:

Answer:

4

Step-by-step explanation:

using Pythagorean theorem

a^2+b^2=c^2

you have C so you can flip it around

c^2-b^2 will give you a^2

Answer:

the answer is 4

Step-by-step explanation:

b²=5²-3²

b²=16

b=4

Answer:

find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

AB = BD is given. Therefore,

7x + 10 = 9x-2

10 + 2 = 9x - 7x

12 = 2x

x = 2

Now, Put the value of x in value of AB

AB = 7x + 10

AB = 7 × 2 + 10

AB = 14 + 10

AB = 24

Answer:

7.62

Step-by-step explanation:

To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.

A^2 + B^2 = C^2

Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.

First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.

On the x-axis we have

A = 5 - 2

A = 3

The y-axis has

B = 4 - (-3)

B = 7

Plugging these values into the equation from earlier we get:

3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.

9+49 = C^2

sqrt(58) = C

7.615773106 = C

Rounded the the nearest hundredth:

C = 7.62

Answer:

pretty sure its y = 2x +1

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

Answer:

y⁶ (I think you enter just 6 in your problem)

64x¹⁸y⁶ (Simplified)

In the Simplified problem above y has an exponent of 6.

[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]

Answer:

x = 35

y = 7

Step-by-step explanation:

See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so

C + 45 + 30 = 180

C + 75 = 180

C = 105°

This is angle DCB.

Now all the angles are marked. We can set up equations to find x and y. see image.

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

Let's solve ~

Perimeter of square is :

[tex]\qquad \sf  \dashrightarrow \:4 \times side \: length[/tex]

so, we can take side length as a, and solve for a ~

[tex]\qquad \sf  \dashrightarrow \:4a = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 60 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 15[/tex]

Now, since we know the side length. let's find Area of square :

[tex]\qquad \sf  \dashrightarrow \: {15}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 225 \: m {}^{2} [/tex]

The equation that represents the time spent on the exercise by Serena will be t = 10 + s

From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.

Therefore, the equation that represents the time spent on the exercise will be t = 10 + s

Learn more about equations on:

https://brainly.com/question/2972832

Answer:

2.71

Step-by-step explanation:

Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71