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tankabanditka [31]
3 years ago
12

Start with the following statement: Vertical angles are congruent. a.State the conditional and three other forms of the statemen

t. b.If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.
Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
There are three kinds of statement that we could construct base on the given where as Vertical angels are congruent. First is converse: If angle 1 is 90 degree then angle 2 is 90. Second is Inverse: If angle 2 is not 90 then angle 1 is not. Third is Contrapositive: If angle 2 is not 90 then angle 1 is not 90 also.
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Decide if each answer will be less than or greater than the original number drag each to the correct category
Natalija [7]

Answer:

were is tha problem

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
CAN SOME ONE HELP ME WITH THIS HURRY PLEASE
Nina [5.8K]
7) x= men
x+6= women

x + (x+6)= 30
2x + 6= 30
2x= 24
x= 12
x+6= 18

8) x= first integer
x+1= second integer
x+2= third integer

x + (x+1) + (x+2)= 153
3x + 3= 153
3x= 150
x= 50

Second integer
= x+1
= x+50
= 51

9) x= first integer
x+2= second integer
x+4= third integer

x + (x+2) + (x+4)= 54
3x + 6= 54
3x= 48
x= 16

x + (x+2)= 34
16 + 16 + 2= 34
34=34

10) rate= 356 km/hr
distance= 1424 km

Distance= rate * time
D= rt
1424= 356 * t
divide both sides by 356
4 hrs= t


ANSWERS:
7) 18 (B - second choice down)
8) 51 (B - second choice down)
9) 16 (D - fourth choice down)
10) 4 (B- second choice down)

Hope this helps! :)
6 0
3 years ago
2 (x+1)=3x-1 how to do this
Norma-Jean [14]
The answer would be x=3

7 0
3 years ago
1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
Lunna [17]

The correct responses found using trigonometric ratios are as follows;

  1. Brooke's cannot bring the boat back without getting water over her boots.
  2. The plan will not be approved
  3. The plane will not disturb
  4. The company can not use the chimney legally
  5. The Long company will build the bridge
  6. The fireman can reach her.
  7. The lift does not take the skiers up to the bar.
  8. Eric will be able to see his Dad's plane.
  9. The 73 m. brace

<h3>How can trigonometric ratios be used to find the right responses?</h3>

1. The depth of the water = 15 × tan(4°) = 1.049 m

The height of Brooke's boot = 1 m

Therefore;

  • Brooke's cannot bring the boat back without getting water over her boots.

2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°

Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;

  • The plan will not be approved.

3. Height reached by the plane = 9 × tan(21°) = 3.455

Therefore;

  • The plane will not disturb.

4. Height of the chimney at the factory = 50 × tan(51°) = 61.745

The minimum chimney height = 65 m.

Therefore;

  • The company can not use the chimney legally.

6. Length of the bridge = 72 × tan(55°) ≈ 102.83

Therefore;

  • The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.

7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7

Therefore;

  • The fireman can reach her.

8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8

Therefore;

  • The lift does not take the skiers up to the bar.

9. Height reached by plane = 26 × tan(9°) ≈ 4.12

The plane flies under the cloud therefore;

  • Eric will be able to see his Dad's plane.

10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83

Therefore;

  • The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.

Learn more about trigonometric ratios here:

brainly.com/question/24349828

#SPJ1

7 0
2 years ago
How many solutions do the TWO equations have?
Nadya [2.5K]

Answer:

Below.

Step-by-step explanation:

15y + 12x = 18

5y + 4x = 6

The  second equations is the first times 3 so they are basically the same.

Infinite Solutions.

2x+ 3y= 12

-6y= 4x-24          Rearranging the second equation:

-4x - 6y = -24      Multiplying the first equation by 2:

4x + 6y = 24      

- we see that the last equation is -1 * previous equation.

So there are infinite solutions.

7 0
3 years ago
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