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2 years ago

Similar triangles are congruent. a. - always b. - sometimes c. - never

Mathematics

2 answers:

scoray [572]2 years ago

8 0

Answer:

Similar triangles are sometimes congruent.

Step-by-step explanation:

" Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size "

We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar.

Hence, similar triangles are sometimes congruent.

irina1246 [14]2 years ago

5 0

Two triangles with two sides and a non-included angle equal may or may not be congruent. If two angles on one triangle are equal, respectively, to two angles on another triangle, then the triangles are similar, but not necessarily congruent.

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Consider the following function. f(x) = |x − 9| Find the derivative from the left at x = 9. If it does not exist, enter NONE. -1

nydimaria [60]

Answer with Step-by-step explanation:

We are given that

$f(x)=\mid x-9\mid$

$f(x)=-(x-9)$ when x<9

$f(x)=x-9$ when $x\geq 9$

LHD

$\lim_{x\rightarrow 9-}f'(x)$

= $-\lim_{x\rightarrow 9-}(x-9)=-1$

RHD

$\lim_{x\rightarrow 9+}f'(x)$

$=\lim_{x\rightarrow 9+}(x-9)=1$

$LHD\neq RHD$

Hence, the function is not differentiable at x=9

8 0

3 years ago

14=4x-6 <img src="https://tex.z-dn.net/?f=14%20%3D%204x%20-%206" id="TexFormula1" title="14 = 4x - 6" alt="14 = 4x - 6" align

Alex17521 [72]

Answer:

14=4x - 6

14+6=4x

20=4x

x=5

5 0

3 years ago

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how

crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

5 0

3 years ago

F(x)=-5x+2 and g(x)=1/2x+4 find f(g(12))

skad [1K]

Answer:

- 48

Step-by-step explanation:

If you want to learn more about this concept, it's called composition of functions.

First, you plug in g(x) as if it were x into f(x).

f(g(x))= -5 (1/2x + 4) + 2

= -5/2x - 20 + 2

= -5/2x - 18

Then, plug in the value given, as x.

= -5/2 (12) - 18

= -30 - 18

= - 48

I hope this helped!

3 0

3 years ago

6. A two-story building measures 21 feet

Y_Kistochka [10]

Answer:

Step-by-step explanation:

First figure the ratio of the real building to the model which is 21 divide 3. So the ratio is 1:7, since we're finding the height of the model, we divide 7 by 84 which is 12

7 0

2 years ago