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
vagabundo [1.1K]
3 years ago
9

Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°,

m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

 2. m\angle H+m\angle J +m\angle K =180^{\circ}

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement  1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}

3) We can also say

m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle  K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}

Similarly to the other triangle:

m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}

4) Hence,

2. m\angle H+m\angle J +m\angle K =180

Reason: The sum of interior angles is equal to 180º.

You might be interested in
Write 37 and 2/3% as a fraction in simplest form.<br> URGENT
Tems11 [23]

Answer:

101 2/3

Step-by-step explanation:

8 0
3 years ago
A town's yearly snowfall in inches over a 10-year period is recorded in this table. What is the mean of the snowfall amounts?
lawyer [7]
So to find the mean you add them all together and divide by the number of numbers there is so 11+15+19+17+23+20+17+18+21=174 and there are 10 numbers so it would be 174/10 which is 17.4 so you answer is 17.4
4 0
3 years ago
the temperature at noon was -27 degrees . the temperature increased by 13 degrees by 2pm . what was the temperature at 2pm
Aleks [24]
First, you would create an equation for this problem. 
-27 + 13

Now, all you would have to do is solve it. 
-27 + 13 = -14

By 2 pm the temperature was -14 degrees. 

I hope this helps!
5 0
3 years ago
Read 2 more answers
Solve for x. please show work
Mazyrski [523]
Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.
3 0
3 years ago
Please help me with this question
Alex17521 [72]

Answer:

The answer is C.

Step-by-step explanation:

5*6=30

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following objects is made up of two circular bases and a lateral surface?
    8·2 answers
  • Multiply. The question is in the picture.
    15·1 answer
  • F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))
    5·1 answer
  • How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?
    9·2 answers
  • Factor this polynomial completely over the set of complex numbers: f(x)=x^3-x^2-4x+4 Pleaseee answer asap! Thanks!
    7·2 answers
  • You are comparing two refrigerator models. Their annual electricity consumption is shown below. Assume that the cost of electric
    8·2 answers
  • 25 pints
    11·2 answers
  • Not sure need help ​
    13·2 answers
  • PLS HELP QUICK I WILL GIVE BRAINLIEST
    10·1 answer
  • A merchant bought 125kg of potatoes at rs 25 per kg. if 5 kg of potatoes were bad, at which price per kg must he sell the good p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!