What do I divide by 5 to get 9

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

Alborosie

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar ⇒ answer D

Step-by-step explanation:

Let us revise the cases of similarity

1. AAA similarity : two triangles are similar if all three angles in the first

triangle equal the corresponding angle in the second triangle

2. AA similarity : If two angles of one triangle are equal to the

corresponding angles of the other triangle, then the two triangles

are similar.

3. SSS similarity : If the corresponding sides of the two triangles are

proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides

are proportional and the included angles are equal then the two

triangles are similar.

In the two triangles BAC and CED

∵ m∠BAC = 17°

∵ m∠CED = 17°

∴ m∠BAC = m∠CED

But we need another pair of angles to prove that the two triangles are

similar by AA similarity criterion

OR 

The lengths of sides BA , CA and CE , DE to show that

$\frac{BA}{CE}=\frac{CA}{DE}$ = constant ratio and prove that the

two triangles are similar by SAS similarity criterion

So it is not possible to prove that the two triangles are similar

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar

Learn more:

You can learn more about triangles in brainly.com/question/4354581

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

Solve the inequality. 2(4+2x)>5х+5 x<-2 x>-2 х<3 x>3

olga_2 [115]

Answer:

x<3

Step-by-step explanation:

4 0

2 years ago

Hi guys can you answer 2 math question

Anika [276]

2) 8/10 7/10 3/10 5/10

6 0

2 years ago

Read 2 more answers

If f(x) = |(x2 − 9)(x2 + 1)|, how many numbers in the interval [−1, 1] satisfy the conclusion of the mean value theorem?

ivann1987 [24]

Answer:

only one number c=0 in the interval [-1,1]

Step-by-step explanation:

Given : Function $f(x) = |(x^2-9)(x^2 + 1)|$ in the interval [-1,1]

To find : How many numbers in the interval [−1, 1] satisfy the conclusion of the mean value theorem.

Mean value theorem : If f is a continuous function on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point 'c' in (a,b) such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

Solution : f(x) is a function that satisfies all of the following :

1) f(x) is continuous on the closed interval [-1,1]

$\lim_{x\to a} f(x)=f(a)$

2) f(x) is differentiable on the open interval (-1,1)

Then there is a number c such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

$f(a)=f(-1) = |(-1^2-9)(-1^2 + 1)|=|(-8)(2)|=16$

$f(b)=f(1) = |(1^2-9)(1^2 + 1)|=|(8)(2)|=16$

$f'(c)=\frac{f(b)-f(a)}{b-a}=\frac{16-16}{2}=0$

$f'(c)=0$ ........[1]

Now, we find f'(x)

$f(x) = |(x^2-9)(x^2 + 1)|$

$f(x) =x^4-8x^2-9$

Differentiating w.r.t x

$f'(x) =4x^3-16x$

In place of x we put x=c

$f'(c) =4c^3-16c$

$f'(c) =4c^3-16c=0$ (by [1], f'(c)=0)

$4c(c^2-4)=0$

$4c=0,c^2-4=0$

either c=0 or $c^2-4=0\rightarrow c=\pm2$

we cannot take $c=\pm2$ because they don't lie in the interval [-1,1]

Therefore, there is only one number c=0 which lie in interval [-1,1] and satisfying the conclusion of the mean value theorem.

3 0

2 years ago

Is y= -4x proportional or non- proportional

salantis [7]

9514 404 393

Answer:

proportional

Step-by-step explanation:

The equation ...

y = kx

expresses a proportional relationship for any constant of proportionality k.

Your equation with k = -4 expresses a proportional relationship.

5 0

2 years ago