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
The cost of a rental is 160 for 5 days. At this rate, how much does it cost to rent the tent for one day?
Olin [163]

the answer is $32 you divide 160 by 5

8 0
3 years ago
Suppose there are 1,000 total sales representatives in the midwest and northeast regions, with 500 sales re
Maru [420]

Making 20 groups of 10 is the sampling strategy that can be used to select 200 sales representatives.

What is sampling?

Sampling is the phrase used to describe a statistical procedure in which a predetermined number of observations are chosen from a larger population. More precisely, sampling can be described as the process of choosing a portion of a statistical population in order to estimate the characteristics of the entire population. Samples that are representative of the population under study are sought for by statisticians.

Making 20 groups of 10 is the most effective way of sampling that can be employed here for the sales director to incorporate 200 sales representatives in this situation, with an equal amount of representatives from each region.

Learn more about sampling here:

brainly.com/question/11045407

#SPJ4

4 0
2 years ago
2/7 divided by 1/4 =
dem82 [27]

Answer: 8/7

Step-by-step explanation:

To solve 2/7 ÷ 1/4,

Step 1: rewrite as-

2/7 × 4/1

=8/7

I hope this is clear.

4 0
3 years ago
Solve the inequality x/5-3<0
Kisachek [45]

Answer:

x < 15

Step-by-step explanation:

\frac{x}{5} - 3 < 0 ( add 3 to both sides )

\frac{x}{5} < 3 ( multiply both sides by 5 to clear the fraction )

x < 15

7 0
3 years ago
Can you help me with this!!!!!!!!!
alexira [117]

a. The first variable is x and the second variable is y.

b. The equations are x+y=12 and x-y=8.

Step-by-step explanation:

Step 1:

The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.

Here let the first variable be x and the let the second variable be y.

So the variables are defined as x and y.

Step 2:

The sum of the given variables is 12.

The first variable + the second variable = 12,

x+y=12.

The difference between the two variables is 4.

The first variable - the second variable = 4.

x-y=4.

Step 3:

If we add both the equations we get, 2x =16, x= 8 and y=4.

x = 8 and y = 4.

4 0
3 years ago
Other questions:
  • calculate the amount in an account that earns 4.25% apr, compound monthly, for 5 years if you invest $10,000
    9·1 answer
  • Which quadratic equation is equivalent to (x+2)^2+5(x+2)-6=0
    7·2 answers
  • Annalisa uses 2/3 cup of all purpose flour and 1/2 cup of whole wheat flour to make pancakes. How many cups of flour does she us
    10·2 answers
  • Calculate: (Round two decimals places for the final answer):
    6·1 answer
  • 15. Mark Twain one observed that the lower Mississippi River is very crooked and that over the years, as the bends and turns str
    7·1 answer
  • How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?
    10·2 answers
  • Va rog sa ma ajutati
    15·1 answer
  • -1/3+1/2 simplified??
    15·1 answer
  • Helpppppp meeeeeeeee pleaseeee
    12·1 answer
  • Which inequality best represents the phrase?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!