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

Answers

Answer 1

Answer:

The additional information required to prove that the triangles are congruent using the ASAcongruence theorem is; ∠LNO ≅ ∠LNM

We are given that;

△LON and △LMN share a common side LN.

This means that for both triangles LN = LN by reflexive property as LN is congruent to itself.

Secondly, we are told that;

∠OLN and ∠NLM are congruent.

We can see that L is an included angle of the congruent side LN.

Now, ASA congruency means Angle - Side - Angle. That means two congruent angles and the included side.

Thus, we need one more angle of the included side LN.

We already have for L, and so the remaining angles that will make△LON and △LMN congruent are;∠LNO and ∠LNM.

Read more on ASA Congruence at; brainly.com/question/3168048

Answer 2

Answer:

Answer:

The answer is " $\bold{\Delta LNO \cong \Delta LMN \ if\ \angle LNO = \angle LNM}$ "

Step-by-step explanation:

Two angles will be congruent to each other in order to show ASA congruence between all the triangles. Its angle $\angle LNO \cong \angle LNM$ is a common angle in both triangles As a result, we'll use the ASA congruence law to show that perhaps the triangles are congruent.

$In\ \Delta LON \ and \ \Delta LMN \n\n Side\ \ ON \cong Side\ \ MN \n\n\angle LNO \cong \angle LNM ( \because common ) \n\n \angle LON \cong \angle LMN (\because Given ) \n\n\to \Delta LON \cong \Delta LMN \text{( through the ASA congruence theorem)}\n$

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70 is 30% of what number?

Answers

Answer: 233.33.

Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.

Answer:

Step-by-step explanation:

233.33

Hope this helps =)

Which inequality matches the graph? (2 points)A) −2x + 3y > 7

B) 2x − 3y < 7

C) −3x + 2y > 7

D) 3x − 2y < 7

Answers

Answer:

D) 3x − 2y < 7

Step-by-step explanation:

We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.

In "intercept form," the equation of the line can be written ...

x/x-intercept +y/y-intercept = 1

Using the given intercepts, this is ...

x/2.3 +y/(-3.5) = 1

The answer choices suggest that we should multiply this by 7. When we do, we get ...

3x -2y = 7 . . . . the equation of the boundary line

The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.

As we said, x-values are less than those on the line, so the shaded area is ...

3x -2y < 7 . . . . matches choice D

Answer:

D) 3x − 2y < 7

Step-by-step explanation:

Took the test and got it right :)

If the product of 6 and an integer (n) increased by 13, the result is -14 what is the value of n?

Answers

-33, I found the answer by adding 6 with 13...
6+13=19
then I added 19+14=33
Then you know that it has to be a negative so...
-33 is the answer
Hope it helped :)

Final answer:

The value of the integer 'n' in the given equation 6n + 13 = -14 is -4.5

Explanation:

The problem seeks to determine an integer 'n' such that the product of 6 and 'n,' increased by 13, equals -14. This can be represented by the equation 6n + 13 = -14. To solve for 'n,' we begin by isolating it. First, we subtract 13 from both sides of the equation, resulting in 6n = -27. Then, we divide both sides by 6 to determine 'n.' Consequently, the value of 'n' is found to be -27/6, which simplifies to -4.5. However, it's worth noting that 'n' must be an integer, and -4.5 is not an integer. Therefore, there may be an issue with the problem statement or solution.

Learn more about Algebra here:

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If five times a number is subtracted from twelve times a number, the result is seven less than twice the number. Find the number.

Answers

12x - 5x = 2x - 7

7x = 2x - 7

5x = -7

x = $- (7)/(5)$

Hey, Whats The answer please explain your answer marking brainliest:D....................................

Answers

The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units, therefore, option (A) will be correct.

How to find the distance between two points?

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$

The distance between with two points (x₁, y₁) and (x₂, y₂) is given as,

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$

In option (A),

Points are (2,4) and (2,7).

The distance between them will be,

$d = \sqrt {\left( {2 - 2 } \right)^2 + \left( {4 - 7 } \right)^2 }$

d = √(3²) = 3

Hence "The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units".

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Answer:

I think it's answer choice A!

Step-by-step explanation:

The reason why I think that it is A is because of the given y values. The x values are consistent through all of the given choices, but if graphed, there is a distance of three units between the y-value of 4 and the y-value of 7. I personally like to use Desmos when it comes to trying to get a visual graph of coordinates. I hope this at least helped a little!

Hot Shot Electronics is designing a packing box for itsnew line of Acoustical Odyssey speakers. The box is a
rectangular prism of length 45 centimeters, width
30 centimeters, and volume 81,000 cubic centimeters.
What is the height, in centimeters, of the box?
A. 75
B. 60
C. 48
D. 27
E. 18

Answers

Volume = (length) x (width) x (height)

81,000 = (45) x (30) x (height)

Height = (81,000) / (45 x 30) = 60 cm

V=81 000cm³

V=Ab *h

Ab=L*w

Ab=45*30
Ab=1350cm²

V=1350*h

1350*h=81 000

h=81 000/1 350
h=60cm answer variant b)

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