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Slav-nsk [51]
3 years ago
7

A student made the following chart to prove that AB2 + BC2 = AC2:

Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Answer:

Solution:

Given : In triangle ABC right angled at B.

To Prove :

Construction: Draw B D perpendicular AC.

Proof: 1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD  

2. = AC × DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC  

3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD  

4.   = AC × AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ABD  

5.

= AC (AD + DC)  

6. Adding Statement 1 and Statement 2  

7.

→→→Statement 3 is incorrect.It should be replaced by, Angle ABC = Angle ADB and Angle B AC = Angle BAD .

hope i could help also if u have time please mark me as brainlest

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List at least two technology tools that can help with calculating future value of an investment. Using complete sentences, expla
Setler79 [48]

Answer:

  • scientific or graphing calculator
  • TVM solver
  • spreadsheet

Step-by-step explanation:

For many future-value calculations, a scientific calculator is a sufficient tool. Of course, one must know the appropriate formula to use.

A good alternative when the calculation is a little messy is a TVM solver or special-purpose financial calculator. I prefer this tool because it requires little more than entering numbers in to the right slots.

Most modern spreadsheet programs and apps come with financial formulas built in. So, they, too, can be easy tools to use for calculating future value. These are especially handy when a number of scenarios need to be explored. (I always have to look up the formulas to see which one is appropriate and what its inputs are. So, I find a spreadsheet less useful for a simple calculation.)

4 0
3 years ago
Solve this please! Also fill in the blanks
Annette [7]
X, 14, 2x - 16 is greater than or equal to 12, 12, add 16 to both sides, divide both sides by 2, x is greater than or equal to 14. each box filled in is represented by the commas in between each phrase. I don’t know the rest but I did get the first part.
4 0
3 years ago
If n represents a number,then write an expression for three times the difference of the number and six increased by four times t
Contact [7]

Write and simplify the expression:

3(n-6)+4n

3n-18+4n

7n-18

Solution: 7n-18

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

3 0
3 years ago
I need help with this problem! I'll give brainlist! ​
aliya0001 [1]

Step-by-step explanation:

use CAH method (Cos angle = adjacent/hypotenuse)

Given adjacent = 5

Hypotenuse = 12,

\cos(x) =  \frac{adjacent}{hypotenuse}  \\  \cos(x)  =  \frac{5}{12}  \\ x =  {cos}^{ - 1} ( \frac{5}{12} ) \\  = 65.4deg(nearest \: tenth)

4 0
3 years ago
There is a 4-foot fence that surrounds your backyard. The fence casts a shadow that is 5 feet long. If you are 6 feet tall and s
Strike441 [17]
My shadow would be 7 feet tall.

Since I am standing next to the fence, then whatever difference its actual height and its shadow has, will be the same difference of my shadow to my actual height.

fence: Actual height - 4 ft ; Shadow height - 5 ft; difference - 1 ft
me    : Actual height - 6 ft : Shadow height - ?   ; difference - 1ft

Shadow Height - Actual Height = 1 ft
Sh - 6ft = 1ft
Sh = 1ft + 6ft
Sh = 7ft
3 0
3 years ago
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