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rosijanka [135]
3 years ago
10

Consider the diagram and the paragraph proof below.

Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

Answer:

The answer is b

Step-by-step explanation:

Consider the diagram and the paragraph proof below.

Given: Right △ABC as shown where CD is an altitude of the triangle

Prove: a2 + b2 = c2

 Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.

Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).

Which is the last sentence of the proof?

Because f + e = 1, a2 + b2 = c2.

Because f + e = c, a2 + b2 = c2.

Because  a2 + b2 = c2, f + e = c.

Because  a2 + b2 = c2, f + e = 1.

Makovka662 [10]3 years ago
4 0

Answer:

I don't know how I can help you but I found this from another person. Hope this helps!

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Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

7 0
3 years ago
Mathia question order or operations
eduard

Answer:

53

Step-by-step explanation:

Use pemdas

Use P and do (2+2)

then E 2^3 to get 8

Now you have 9-4/4+8*5

Do M and D To get 9-1+45

Now add and subtract to get your answer

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3 years ago
I don't get this can somone help me please ​
wolverine [178]

Answer:

f = m+h

Step-by-step explanation:

just add h to both sides of the equation to isolate f.

Hope this helps!

7 0
3 years ago
Find all complex solutions of X^2-5X -5= 0
denis-greek [22]

ANSWER

x  =  \frac{ 5  -  3\sqrt{ 5} }{2}  \: or \: x  =  \frac{ 5 +3 \sqrt{ 5} }{2}

EXPLANATION

The given equation is

{x}^{2}  - 5x - 5 = 0

The solution is given by the formula

x  =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a}

where a=1, b=-5, c=-5

We substitute into the formula to get;

x  =  \frac{ -  - 5 \pm \sqrt{ {( - 5)}^{2}  - 4(1)( - 5)} }{2(1)}

We simplify to get,

x  =  \frac{ 5 \pm \sqrt{ 45} }{2}

The solutions are:

x  =  \frac{ 5  -  3\sqrt{ 5} }{2}  \: or \: x  =  \frac{ 5 +3 \sqrt{ 5} }{2}

The equation has no complex roots.

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3 years ago
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Answer:

the answer is B

Step-by-step explanation:

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