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3 years ago

How to write proofs in geometry

1 answer:

5 0

Make a game plan. ...
Make up numbers for segments and angles. ...
Look for congruent triangles (and keep CPCTC in mind). ...
Try to find isosceles triangles. ...
Look for parallel lines. ...
Look for radii and draw more radii. ...
Use all the givens.

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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

olchik [2.2K]

If $x$ is the first number in the progression, and $r$ is the common ratio between consecutive terms, then the first four terms in the progression are

$\{x,xr,xr^2,xr^3\}$

We want to have

$\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}$

In the second equation, we have

$xr^3-xr=xr(r^2-1)=36$

and in the first, we have

$xr^2-x=x(r^2-1)=12$

Substituting this into the second equation, we find

$xr(r^2-1)=12r=36\implies r=3$

So now we have

$\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32$

Then the four numbers are

$\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}$

4 0

3 years ago

What is the solutions to 0=x^2-x-6 two things ,,quadratic equationz,,,

natita [175]

Answer:

x1=3. x2=-2

Step-by-step explanation:

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

b=-1

a=1

c=-6

$x = \frac{ - ( - 1) + - \sqrt{ {( - 1)}^{2} - 4 \times 1 \times ( - 6) } }{2 \times 1}$

$x = \frac{1 + - \sqrt{1 + 24} }{2}$

$x = \frac{1 + - \sqrt{25} }{2}$

$x1 = \frac{1 + 5}{2}$

$x2 = \frac{1 - 5}{2}$

x1=3

x2=-2

$x = \frac{1 + - 5}{2}$

3 0

3 years ago

8.4 divided by unknown gives you 2.8 what is the unknown

Anna007 [38]

Answer:

Step-by-step explanation:

8.4 ÷ 3 = 2.8

(Hopefully this answers your question)

6 0

3 years ago

5•1000000 is how many times as large as 5•10000

gizmo_the_mogwai [7]

Answer:

100 times

Step-by-step explanation:

5•1000000 has 2 more zeros than 5•10000 so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest

3 0

3 years ago

Read 2 more answers

5,-5/2,5/4,-5/8 what is the 5th term

Bumek [7]

Answer: your answer would be 5/16th :)

8 0

3 years ago

Read 2 more answers