2. ALMN and APMN are shown below. What additional information is necessary to prove
ALMN = APMN by HL?


Help please!!!

2. ALMN And APMN Are Shown Below. What Additional Information Is Necessary To ProveALMN = APMN By HL?Help

Answers

Answer 1

Answer:

The additional information necessary is option;

D. [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Step-by-step explanation:

From the given figure, we have;

Given that ML ≅ MP,

The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg

To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles

For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°

With ∠LNM = ∠PNM = 90°, then, line [tex]\overline {MN}[/tex] is perpendicular to line [tex]\overline {LP}[/tex] or  [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex].


Related Questions

find the value of x!

Answers

Answer:

I think it is

24.6

Answer:

           21.2

Step-by-step explanation:

[tex]x\times(x+ 28) = 20\times (20+32)\\\\x^2+28x-1040=0\\\\\ x=\dfrac{-28\pm\sqrt{28^2-4\cdot1\cdot(-1040)}}{2\cdot1}= \dfrac{-28\pm\sqrt{4944}}{2}\\\\x\approx21.2\quad or\quad x\approx-49.2[/tex]

x has to be >0 so the answer is 21.2

Amy spent $90 at the store. She spent 1/3 of her money on food, 1/6 of her money on school supplies, and 1/9 of her money on soda. How much did she spend on school supplies?

Answers

Given:

Amy spent $90 at the store.

She spent [tex]\dfrac{1}{3}[/tex] of her money on food, [tex]\dfrac{1}{6}[/tex] of her money on school supplies, and [tex]\dfrac{1}{9}[/tex] of her money on soda.

To find:

How much did she spend on school supplies?

Solution:

According to the given information, Amy spend [tex]\dfrac{1}{6}[/tex] of her money on school supplies.

Amy spent $90 at the store. So,

Money spend on school supplies = [tex]\dfrac{1}{6}\times 90[/tex]

                                                        = [tex]15[/tex]

Therefore, Amy spend $15 on school supplies.

PLEASE NO LINKS

What fraction is greater than 1/9, is less than 1/3, and has a denominator of 18?
find the common denominators.

Answers

Answer:

5/18

Step-by-step explanation:

Let the numerator be x.

1/9 < x/ 18 < 1/32/18 < x / 18 < 6/182 < x < 6x = {3, 4, 5}

Fractions that satisfy the condition:

3/18, 4/18, 5/18

The first two can be simplified further:

3/18 = 1/6, 4/18 = 2/9

The answer is 5/18

Just to need solve this asap
which value represents (A u B)



pls don't answer randomly for points

Answers

Answer: 55

Step-by-step explanation:

Given

Values are presented in the Venn diagram

No of left-handed students [tex]n(A)=25[/tex]

No of vegetarians students [tex]n(B)=45[/tex]

Students who are left-handed and vegetarian is given by [tex]n(A\cap B)=15[/tex]

[tex]n(A\cup B)[/tex] is given by [tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

Put the values

[tex]n(A\cup B)=25+45-15\\n(A\cup B)=55[/tex]

which elapent weight 2.85 tons round to the nearst hundreth

Answers

2.9 because if you look at place value, behind the decimal it goes, tenths hundredths thousandths, and so on
Then you go to hundredths and see that it is 5. If it is 5 or up, you round up, and if it is 4 or lower, round down
So in this case, 2.85 would be rounded to 2.9

Algebraic Method #2: Solving by substitution 2x + 8y = 20 y = 2​

Answers

2x+8y=20
2x+8•2=20
2x=20-16
2x=4
x=2
Check:
2•2+8•2=20
4+16=20
20=20
x=2 and y=2
Good luck.

Area of a kite assistance

Answers

It’s 5.7ft
Explain: I’m smart

helpppp pleaseeee thank you

Answers

The answer is D. 100.6
i wiuld put D as the answer , good luck

Given that the discriminant of a quadratic equation is 0, determine the number of real solutions.

Answers

If the discrimination is equal to 0, there is one real solution

Please answer and thank you

Answers

Step-by-step explanation:

hope this will help you have a good day!

PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT

Answers

Answer:

the area of the porch is 5 times larger

Step-by-step explanation:

Area of a rectangle = length x width

Original area = 15 x 6 = 90 square feet

length of width after it was enlarged 5 times = 5 x 6 = 30

New Area = 30 x 15 = 450 square feet

change in area = 450 / 90 = 5

Please I need help with this math problem I would appreciate it a lot!

Answers

Answer:

4x^2 -3 + 1/x

Where ;

p(x) =( 4x^2 -3) and k = 1

Step-by-step explanation:

Here, we want to divide the given polynomial

To get this, we can use the method of long division

P(x) will be the quotient of the division, while k will be the remainder of the division

We can see the long division used in as seen in the attachment

So, we have the result as;

4x^2 -3 + 1/x

Where ;

p(x) = 4x^2 -3 and k = 1

A chocolate box made of cardboard is in the shape of a triangular prism. The prism's bases are isosceles triangles. The chocolate box has a decorative paper wrapper covering only its rectangular sides. A net of the chocolate box is shown below. How much decorative paper and cardboard are needed for the chocolate box, to the nearest hundredth of a square inch? Decorative paper: 30.5 in2; cardboard: 37.4 in2 Decorative paper: 30.5 in2; cardboard: 33.95 in2 Decorative paper: 34.5 in2; cardboard: 37.95 in2 Decorative paper: 34.5 in2; cardboard: 41.4 in2

Answers

Answer:

triangular prism - Chegg

The Chocolate Box Has A Decorative Paper Wrapper Covering Only Its Rectangular Sides. A Net Of The Chocolate Box Is Shown Below 1.5 In 1.9 In 1.9 In 2.3 In 5 In 1.5 In How Much Decorative Paper And Cardboard .

What is the correct value of x

Answers

Answer:

45°

Step-by-step explanation:

The triangle is right isosceles.

It is right as the side is the diameter of the circle.

It is isosceles as two sides marked as equal.

Acute angles are same and equal to:

90°/2 = 45°

Correct option is 45°

Answer:

<M=90°[inscribed angle on diameter is 90°]

<N=<L=[base angle of isosceles triangle]

now

<M+<l+<N=180°[sum of interior angle of traingle]

[2x-5]×2=180-90

4x-10=90

x=100/4=25

x=25

Rachel's car has a 12 gallon gas tank and
she uses about 0.5 gallons per day driving to
school. Write an equation describing the
number of gallons of gas, g, Rachel has in
her car and the number of days, d, she has
driven to school.


please help meeee

Answers

Answer:

g=dx

Or, if you'r wanting the solved equation..

12 = 0.5 x 24

Step-by-step explanation:

If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."

Hope this helped!

/fxa-pqxu-hzi. come here

Answers

What if I don’t wanna? What then?

what is the answer to 3x + 2 = -19?

Answers

Answer:

X = -7

Step-by-step explanation:

x=-7

Hope this Helps q(≧▽≦q)

Please help i will mark brainliest

Answers

Answer:

Step-by-step explanation:

2.5 is the answer

WORTH 30 POINTS ILL MARK BRAINLIEST
for the equation y=x^2+6x+4
a) use completing the square to change the following equation to graphing (vertex) form
include steps

Answers

Step-by-step explanation:

[tex]y = {x}^{2} + 6x + 4[/tex]

[tex]y - 4 = {x}^{2} + 6x[/tex]

[tex]y - 4 + 9 = {x}^{2} + 6x + 9[/tex]

[tex]y + 5 = (x + 3) {}^{2} [/tex]

[tex]y = (x + 3) {}^{2} - 5[/tex]

Please help. Will mark brainliest!!!!

A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve it to find out how many hours it took for the bus to arrive at its destination

Answers

Answer:

not sure

Step-by-step explanation:


b. Find m2VBC
D
B
20x + 5
9x-2
C
18

Answers

Answer:

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

b. Find m2VBC

D

B

20x + 5

9x-2

C

18

Step-by-step explanation:

If a varies directly with x squared, and a=12 when x=6 find the constant variation, k

Answers

Answer:

k = 1/3

Step-by-step explanation:

a = kx²

12 = k * 6²

k = 12/36

k = 1/3

Answer: k = 1/3

if two congruent angles form supplementary, they are acute angles true or false

Answers

Answer:

false

Step-by-step explanation:

No, two acute angles cannot form a supplementary angle. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. ... Example: 80° +60° = 140° which is not a supplementary angle. But, in the case, if we add more than two acute angles, we can get supplementary angles.


Help pls and no links

Answers

Answer:

4x plus 1 I think I'm not 100 percent sure though.

hlpppppppppppppppppppppppppppppp

Answers

Answer:

-9.661

Step-by-step explanation:

For this problem you simply substitute the give values into the equation

a=6.05

b=3.611

-6.05+(-3.611)= -9.661

What would the numbers of microns be for this question?

Answers

Answer:

x = 24

Step-by-step explanation:

The ratio is x2

11 x 2 = 22

13 x 2 = 26

Therefore,

12 x 2 = 24

x = 24

The price of a watch was increased by 20% to £162.
What was the price before the increase?

Answers

Answer:

The answer is 135

Step-by-step explanation:

We can use formula: 162...120% since the price was increased by 20% which means it is 120%

So: 162...120%

x.... 100%

120x = 16200 => x = 135

the insurance premium of a new bus is Ghc 93.30 plus 15% of the insured value. what is the insurance premium of a bus whose insured value is Ghc 250.00?​

Answers

Step-by-step explanation:

[tex] \frac{15}{100} \times 250 = 37.50 + 93.30 = 130.80[/tex]


5-7:
Question Help
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost
$20.40. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?

Answers

The 3 panes would cost $7.65.
The answer is 7.65
Hope this helps!

The Question is in the png

Answers

Answer:

$30.69

Step-by-step explanation:

The answer to your question is 30.39 just like the dude said up top :)
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