Triangles L O N and L M N share common side L N. Angles O L N and N L M are congruent.
What additional information would be needed to prove that the triangles are congruent using the ASA congruence theorem?

ON ≅ MN
∠LON ≅ ∠LMN
LN ≅ NM
∠LNO ≅ ∠LNM

Answer:

vitamins - organic compound

minerals - inorganic compounds

Step-by-step explanation:

Answer:

1. minerals = B inorganic elements

2. Vitamins = A organic compound

Step-by-step explanation:

Answer:

126 mi²

Step-by-step explanation:

Surface Area of a Rectangular Prism :

Answer:

[tex]x=\frac{39}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3}{4}=9\\ \\2x-3=36\\\\2x=39\\\\x=\frac{39}{2}[/tex]

Answer:

red is more in value unlike the rest

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

Answer:

x = 90°

Step-by-step explanation:

From the meaning of figure

30² + 2x° + (2x - 30)° = 360°

4x° = 360°

x = 90°

HOPE THIS HELPS AND HAVE A NICE DAY <3

The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600

The probability to calculate is given as: P(Adult|Second run)

This means:

The probability that an Adult is selected given that the adult runs the second run

The formula to solve this is:

P(Adult|Second run) = n(Adult and Second run)/n(Second run)

From the table, we have:

n(Adult and Second run) = 219

n(Second run) = 365

So, we have:

P(Adult|Second run) = 219/365

Evaluate

P(Adult|Second run) = 0.600

Hence, the value of P(Adult|Second run) is 0.600

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Answer:

The value of P rounded to the nearest thousandth would be 0.6

Hope this helped!

Answer:

Mean = 13.3

Step-by-step explanation:

Mean = Sum of numbers    =  13 + 19 + 7 + 12 + 21 + 18 + 15 + 1  =  106 = 13.25

          Amount of numbers                          8                                    8

13.25≈13.3

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$480\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=480\left(1+\frac{0.09}{12}\right)^{12\cdot 7}\implies A=480(1.0075)^{84}\implies A\approx 899.14[/tex]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]

Answer:

i hope this can help you!

Answer: p = 9h

Step-by-step explanation:

     If she makes 9 dollars of every hour of work, this will be a linear equation. We will write it as the following:

      p = 9h

Answer:

9h/p

Step-by-step explanation:

9 x # of hours = total pay

$9 is the dollars for each hour, so you multiply that by how many hours Maria works. You will get the total pay.

Answer:

3x² + 3y² = 42

3 ( x² + y² ) = 42

x² + y² = 14

xy = -15 ( given )

(x-y)² = x² + y² - xy

14 - ( -15 )

14 + 15

29

Answer:

[tex]A = 9\pi[/tex]

Step-by-step explanation:

This is basically just 3/4 of a circle, so the area will be:

[tex]A = \frac{3}{4} \pi r^{2}[/tex]

Plug in 6 for the radius:

[tex]A = \frac{3}{4} \pi (6)^{2}[/tex]

Simplify:

[tex]A = \frac{3}{4} \pi (36)[/tex]

Simplify further:

[tex]A = 9\pi[/tex]

Answer: 84.825

Step-by-step explanation:

area of circle = pi r squared.

radius is 6. plug in numbers for area.

the whole circle is 113.1 x 3/4 is 84.825

Answer:

C . 0.1

Step-by-step explanation:

There are nine lines between 0 and 1

The one the red dot is one is 0.1

Answer:

9* (x-6)

9x-54

9x=54

x=54/9

x=6

Step-by-step explanation:

[tex]\cos32^{\circ} \\\\=\sin(90-32)^\circ~~~~~~~~~~~~~~;[\cos \theta = \sin(90- \theta)]\\\\=\sin 58^{\circ}[/tex]

Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.

The question is incomplete so I will use a similar question to answer it.

Caleb's fees at Neobank would be:

= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee

= 0 + 0 + 6 + 5

= $11

Caleb's fees at Arbor Bank:

= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee

= $15.70

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Step-by-step explanation:

83 +(25)/5 >32 + 42

Simplify 83 + (25)/5= 108/5

Simplify 32 + 42: 74

108/5>74

Therefore the solution is false

Goran wants to find the average height of students in the 9th grade at Northside Highschool. So he will use the height of 50 students in the 9th grade to find the average height.

Explanation: pounds - currency/weight, ounces - volume of water, centimeter - height/length, grams - mass, inches - height

Solution:

(a)

1) centimeters

2) inches

(b) Solution: Randomly pick 50 students from the 9th grade and measure their heights.

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

Answer:

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

Answer:

275.46

Step-by-step explanation:

She has $325.31

she writes a check for $24.85

she withdrew $40

and deposited $15

so do 325.31-24.85-40+15

and that equals

275.46

The formula of a cylinder is 2πr (r+h)

2π4 (4+9)

8π (13)

25.13 (13)

326.73

Cubes: area = a^3

3x3x3 = 27

326.73 / 27 = 12.1

Claudia would need to buy 13 wax cubes to fil the candle.

hope this helps k12 students :)

Answer:

32.71cm² is the area

Using the Central Limit Theorem, it is found that none of the samples satisfy the normal condition.

It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as at least one of these following conditions is respected.

In this problem, the underlying distributions are skewed, and both sample sizes are less than 30, hence none of the samples satisfy the normal condition.

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Answer:

N/A

Step-by-step explanation:

Answer:

A. 17

B. 16

Step-by-step explanation:

F(5)

5 > 2 so you plug the 5 into 3x+2

F(-2)

-5 < -2 < 2 so you plug the -2 into (x-2)^2

Answer:60-30 I guess

Step-by-step explanation:n60-30=30

Step-by-step explanation:

help with what because on this tab I can only see a picture icon and not the actual snap so I'd like to help but I really cant

Answer:

x = 116°

Step-by-step explanation:

Finding the value of 'x' in a polygon

 [tex]\sf \boxed{\text{Sum of interior angles of a polygon = (n - 2)*180}}[/tex]

                                                           = (5 - 2) *180

                                                           = 3*180

                                                            = 540°

                      90 + 119 + 86 + 129 +x = 540  

                                               424 + x = 540

                                                         x = 540 - 424

                                                         x   = 116°