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Feliz [49]
2 years ago
12

I need #3 done ASAP (Must show work) Will give brainliest

Mathematics
1 answer:
Alenkinab [10]2 years ago
4 0

Step-by-step explanation:

<u>Statements                                                  Reasons                                    </u>

1 . ∠ABC and ∠CBD are a linear pair         Given

2. m∠CBD = m∠EFG                                   Given

3 . ∠ABC and ∠CBD are supplementary   Definition of linear pair

4. m∠ABC + m∠CBD = 180°                        Definition of supplementary

5. m∠ABC + m∠EFG = 180°                         Substitution property

6. ∠ABC and ∠CBD are supplementary    Definition of supplementary

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A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters
Maksim231197 [3]
<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

                   x^2-7x-60=0

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0

                 Hence, the answer is:

                  x^2-7x-60=0

7 0
3 years ago
Read 2 more answers
The stairs leading from the ground to the entrance of a plane forms a right triangle with the ground. If the distance of the sta
9966 [12]

Answer:B

Step-by-step explanation:

3 0
3 years ago
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This is my test question Round 1.391 to the nearest hundredth and I’m have a hard time I don’t understand I need the answer!!!
viva [34]

Answer:

1.39

Step-by-step explanation:

nearest hundredth is 9

therefore 1.39 ig

5 0
2 years ago
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A mountain climber is at an elevation of 10,712 feet. After 4 hours, he is at an elevation of 8,884 feet. Find the climber’s ver
Illusion [34]
I am not sure about the formula but if you subtract 8,884 from 10,712 you get 1,828. Then, if you divide that by 4 you get 457. 457 fph(feet per hour) should be the climbers vertical speed.
5 0
3 years ago
What’s the area and the perimeter and of the triangle?
asambeis [7]

Answer:

Area = 3.3998

Perimeter = 2.9

Step-by-step explanation:

A method for calculating the area of a triangle when you know the lengths of all three sides.

Let a,b,c be the lengths of the sides of a triangle. The area is given by:

Area =  √  p  ( p − a )  ( p − b )  ( p − c )    

where p is half the perimeter, or  

a + b + c / 2

 p = 1.7 + 1.7 + 2.4 / 2 = 5.8 /  2 = 2.9

a = Area = 3.3998

Heron was one of the great mathematicians of antiquity and came up with this formula sometime in the first century BC, although it may have been known earlier. He also extended it to the area of quadrilaterals and higher-order polygons.

8 0
2 years ago
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