1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ira [324]
2 years ago
9

2. ALMN and APMN are shown below. What additional information is necessary to prove

Mathematics
1 answer:
Mumz [18]2 years ago
4 0

Answer:

The additional information necessary is option;

D. \overline {MN} ⊥  \overline {LP}

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 \overline {MN} is perpendicular to line \overline {LP} or  \overline {MN} ⊥  \overline {LP}

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

You might be interested in
Can someone please help with this??
Makovka662 [10]

-z=14-x+5y

z=x-5y-14

Solved

4 0
3 years ago
Read 2 more answers
2 square root of 5 is between...<br> A) 2 and 3<br> B) 4 and 6<br> C) 6 and 9<br> D) 9 and 12
Natalija [7]
B
Because 2 sqrt5 is = to sqrt 20.

4^2=16, 6^2=36

7 0
3 years ago
Read 2 more answers
The endpoints of GH are G(3,3) and H(-7,7).<br> Find the coordinates of the midpoint M.
sesenic [268]

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

midpoint \: of \: gh =  (\frac{x1 + x2}{2}  ,\frac{y1 + y2}{2})

midpoint \: of \: gh =  (\frac{3 - 7}{2}  ,\frac{3 + 7}{2})

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
2 years ago
Multiply and simplify. (4x−7)(x+5)
Solnce55 [7]

Answer:

4x2+13x-35

hope this helps

7 0
2 years ago
Read 2 more answers
Can some one help me get the answer for : Multiply 2x(3x+5)
Vikki [24]

Answer:16x

Step-by-step explanation:hop this helps :)

6 0
2 years ago
Other questions:
  • The cosine of an angle is the ratio of the opposite side over the hypotenuse.
    7·2 answers
  • Shamariah collects silk roses. She had 17 silk roses in a vase. Six friends each gave her 3 more roses. How many roses does sham
    14·1 answer
  • Help? quadratic functions
    13·1 answer
  • Is this right? The side with larger angle will be longer , see picture.
    7·1 answer
  • 135 is 30% of what number
    7·1 answer
  • When pascal built a dog house, he knew he wanted the floor of the house to have an area of 24 square feet. He also wanted the wi
    9·1 answer
  • Solve by subsitution <br><br> x=-3y-2<br> -4x-5y=8
    12·1 answer
  • Write an expression that is equivalent to
    12·1 answer
  • Which number makes the statement true <br> 12:30 = x:50 <br> A) 30<br> B) 32<br> C) 35<br> D) 41
    7·2 answers
  • 4<br> 7z+<br> 2<br> 7z+(−9+11)=
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!