All categories

3 years ago

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

= AC (AD + DC)

6. Adding Statement 1 and Statement 2

→→→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

You might be interested in

HELP PLEASE ILL GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!!

drek231 [11]

Answer:

D. translation, yes

Step-by-step explanation:

A is out because the shapes are congruent, and if the figure was reflected, it would have been closer to the y-axis. It is the same with B, if the figure was dilated, the second figure would have been similar but not congruent. C is out because the figure is still facing the same direction.

6 0

3 years ago

Read 2 more answers

What does g(n) equal

NikAS [45]

We are given the function:
g(n) = $3 (\frac{7}{5} )^n$

We need to find what g(-3) equals.

What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.

g(-3) = $3( \frac{7}{5})^{-3}$

Remember back to the order of operations.

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.

Negative exponents make fractions FLIP. So our fraction will look like this: $(\frac{7}{5})^{-3} = (\frac{5}{7})^{3}$

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this: $\frac{5}{7}* \frac{5}{7}* \frac{5}{7}$ )

$\frac{5^{3}}{7^{3}} = \frac{125}{343}$

We ARE NOT done! We still have this left:
g(-3) = $3 \frac{125}{343}$
Multiplying by 3 you get the following:

$\frac{375}{343}$

So what does g(-3) equal? This right here:

$\frac{375}{343}$

5 0

4 years ago

Math gram question please help thanks

mezya [45]

Density is calculated by mass divided by volume.
This would be 60/24 (60 grams mass divided by 24 cm^3 volume)
60/24 = 2.5
This means the answer is B. 2.5 g/cm^3

7 0

4 years ago

Determine whether each expression was simplified correctly.

astra-53 [7]

Answer:

Only b is correctly simplified.

Step-by-step explanation:

3 0

3 years ago

What translation rule can be used to describe the result of the composition of T < 4, −10 >(x, y) and T < −1, −9 >(x

Vikki [24]

The first translation picks a point and adds 4 to its x coordinate, and subtracts 10 from the y coordinate. In other words, it moves the point 4 units to the right and 10 units down.

Similarly, the second translation subtracts 1 to the x coordinate, and subtracts 9 from the y coordinate. In other words, it moves the point 1 unit to the left and 9 units down.

So, if you perform one translation after the other, you move the point 4 units to the right and 1 unit to the left along the x axis, and 10 units down and 9 more units down along the y axis.

The net result is a translation of 3 units to the right and 19 units down.

6 0

3 years ago