List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

[tex] \frac{4}{3} = \frac{51}{n} \\ = > \frac{3}{4} = \frac{n}{51 } \\ = > n = \frac{3}{4} \times 51 \\ = > n = \frac{153}{4} \\ = > n = 38 \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

ABCD are the first 4 letters ina alphabet sooooo brooo wheres the parallelogram??

Step-by-step explanation:

Answer:

[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex] = 0.83

Step-by-step explanation:

The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).

We can find [tex]\frac{KL}{JL}[/tex] by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.

We can use this proportion:

[tex]\frac{KL}{6.4}[/tex] = [tex]\frac{JL}{7.7}[/tex]

[tex]\frac{KL}{6.4}[/tex] ⇒ opposite to 40° angle

KL, JL ⇒ ΔJKL

[tex]\frac{JL}{7.7}[/tex] ⇒ adjacent to 40° angle

6.4, 7.7 ⇒ triangle 3

[Now see the attachment]

Now we can rewrite the equation to show the ratios of the side lengths within each triangle.

[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex]

[tex]\frac{KL}{JL}[/tex] ⇒ ΔJKL

KL, 6.4 ⇒ adjacent to 40° angle

[tex]\frac{6.4}{7.7}[/tex] ⇒ triangle 3

JL, 7.7 ⇒ adjacent to 40° angle

Answer: it’s 0.82

Step-by-step explanation:

Check the picture below.

Answer:

it should be 21 if I did this right.

Step-by-step explanation:

you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]

The equation in slope-intercept form that represents the situation is y = 3x + 12

Find out more on linear equation at: brainly.com/question/14323743

Answer:

BC ≅ EF

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

ABC ≅ DEF

The corresponding sides are BC and EF

Answer:

Step-by-step explanation:

    100y = 70.707070707...

          y =   0.707070707...

100y - y = 70

      99y = 70

           y = 70/99

so probably your answer should be A at 0.7071

Answer: y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

Answer:

Step-by-step explanation:

, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Answer:

7.25 + S ≤ 32

Step-by-step explanation:

Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s

Answer:

6

Step-by-step explanation:

66

Answer:

D

Step-by-step explanation:

Pluck in the values, we have:

4.5/2.4 - 6 = 20/2 = 10

Answer:

You can download app to help you I hope you find your answer

Answer:

its ether a or d

Step-by-step explanation:

ps (id like to tell you the exact answer but that would be considered plagerism and i dont want anyone to receive the consenquesnces of that. I hope you understand and that this helps you)

Answer: D

Step-by-step explanation:

this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.

Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x

for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.

your finished equation would be: y=-x+2

i hope this is helpful

The charge of the electrons is [tex]8.02 \times 10^{-19} \ C[/tex].

The given parameters:

The angular speed of the electron is calculated as follows;

[tex]\omega = 2\pi N\\\\\omega = 2\pi \ \frac{rad}{1 \ rev} \times 1.4 \times 10^6 \ rev/s\\\\\omega = 8.798 \times 10^6 \ rad/s[/tex]

The charge of the electrons is calculated as follows;

[tex]F_c= m\omega ^2 r\\\\F_{B}= qvB = q\omega r B \\\\F_c = F_B\\\\m\omega ^2 r = q\omega r B \\\\q = \frac{m\omega ^2 r}{\omega r B} \\\\q = \frac{m \omega }{B} \\\\q = \frac{9.11 \times 10^{-31} \times 8.798 \times 10^6}{10^{-5}} \\\\q = 8.02 \times 10^{-19} \ C[/tex]

The charge of the electrons is [tex]8.02 \times 10^{-19} \ C[/tex].

The complete question here:

Electrons execute 1.4*10^6 revolutions per sec in a magnetic field of flux density 10⁻⁵ T. What will be the value of charge of the electron?

Learn more about magnetic force of electrons here: https://brainly.com/question/3990732

Answer:

x= 131⁰

Step-by-step explanation:

the angles add up to 180⁰ so 180-49=131

131+49=180

hope this helps!!

Answer:

131 degrees. since it's going through 2 parallel lines, 49 is equal to the angle to the left of x, so we subtract 49 from 180 (half of 360) and we get 131

Here !

I hope this helps you a little ,

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]

Answer

f(x) = x - 2

Step-by-step explanation:

If you subtract 2 from each x, you get the answer in f(x)

Answer:

x = 16

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

x/2 - 3 = 5

x/2 = 5+3

x/2 = 8

x = 8×2

x = 16

Answer:

400

Step-by-step explanation:

10 movies * 5 drinks * 8 candy = 400 ways different ways to choose

Answer:

400

Step-by-step explanation:

18

Step-by-step explanation:

X-3=15

Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.

X=15+3

X=18

Answer:

18

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 4 / 0 - -2

2 / 2 = 1

Answer:

[tex]V(1,2) \to V \ ' \ (0.5,1)\\\\U(0,2) \to U \ ' \ (0,1)\\\\T(-1,0) \to T \ ' \ (-0.5, 0)\\\\W(1,-2) \to W \ ' \ (0.5,-1)\\\\[/tex]

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Explanation:

Multiply each coordinate by 0.5, which is the same as the fraction 1/2.

This causes the preimage to shrink to a smaller image.

The rule I'm using is [tex](x,y) \to (kx,ky)[/tex] where the scale factor is k = 0.5