All categories

3 years ago

If two triangles are congruent, then the six ? parts are congruent.

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

<span>If two triangles are congruent, then the six sides and angles are congruent. </span>

You might be interested in

Indefinite integral need help pleaseeeeeee

tatiyna

Integrate indefinite integral:
$I=\int\frac{dx}{e^{2x}+3e^x+2}dx$

Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
$I=\int\frac{du}{u(u^2+3u+2)}du$
$=\int\frac{du}{u(u+2)(u+1)}du$
2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
where A=1/2, B=1/2, C=-1
$=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}$
3. Substitute partial fractions and continue
$I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}$
$=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}$
4. back-substitute u=e^x
$=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$
$=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$

Note: log(x) stands for natural log, and NOT log10(x)

7 0

2 years ago

If f'(x) is (x-4)(4-2x) , what is f(x)?

butalik [34]

We can apply some rules backwards

first
f'(x)=
(x-4)(-2x+4)
-2x^2+12x-16

we know that
$f'(rx^n)=rnx^{n-1}$
so therefor maybe
-2x^2=rnx^{n-1}
2=n-1
n=3
rn=-2
3r=-2
r=-2/3

one is
$\frac{-2}{3}x^3$
second part

12x
12x= $rnx^{n-1}$
x^1, 1=n-1
n=2
rn=12
2r=12
r=6
$6x^2$ is the second bit

last part
-16
-16x^0= $rnx^{n-1}$
0=n-1
n=1

rn=-16
1r=-16
r=-16

-16x^1

so therfor f(x)= $\frac{-2}{3}x^3+6x^2-16x$

3 0

3 years ago

Help me i mark brain thing help due in 5 minutes

Dmitry_Shevchenko [17]

Answer:

A: 1

B: 17

C: 26

D: 42

E: 57

Step-by-step explanation:

4 0

2 years ago

What percent of $90 = $45

Lynna [10]

45 is exactly half of 90
that means 45 is 50% of 90.

8 0

3 years ago

Which algebraic function has a smaller rate of change than the equation?<br><br> f(x)=2x−9

vredina [299]

It will be the second option i believe

4 0

2 years ago

If two triangles are congruent, then the six __?__ parts are congruent.

If two triangles are congruent, then the six ? parts are congruent.