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1 year ago

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this is about similar triangles :)which of the following statements is true about similar triangles?the measurements of correspo

nding angles differ between the two triangles two triangles are similar if their corresponding sides are proportional.if two triangles are similar, both their corresponding sides and angles are always congruent.similar triangles differ in shape but are the same in size.

1 answer:

GenaCL600 [577]1 year ago

6 0

Similar triangles:

Similar triangles have two important properties:

1. The corresponding sides of the triangles are proportional.

2. The corresponding angles of the triangles are congruent.

Let us analyze each of the given options.

1. The measurements of corresponding angles differ between the two triangles.

False, since the corresponding angles must be congruent.

2. Two triangles are similar if their corresponding sides are proportional.

True, since the corresponding sides are proportional in similar triangles.

3. If two triangles are similar, both their corresponding sides and angles are always congruent.

False, since only the angles need to be always congruent not the sides.

4. Similar triangles differ in shape but are the same in size.

False, since similar triangles are the same shape, but not necessarily the same size.

You might be interested in

A team spent 20 mins on passing drills and 40 minuets ona shooting drill, what is the ratio of time spent on shooting drills to

aliya0001 [1]

20 minutes on passing .....40 minutes on shooting

ratio of time spent on shooting to passing....
these are not hard, u just have to pay attention to the wording...

the ratio of shooting to passing is 40/20 which reduces to 2/1 or 2:1 or
2 to 1 <===

but if it would have asked for passing to shooting, it would have been :
20/40 which reduces to 1/2 or 1:2 or 1 to 2

so ur answer is 2/1 or 2:1 or 2 to 1

6 0

4 years ago

Initially a tank contains 10 liters of pure water. Brine of unknown (but constant) concentration of salt is flowing in at 1 lite

zhenek [66]

Answer:

Therefore the concentration of salt in the incoming brine is 1.73 g/L.

Step-by-step explanation:

Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.

Let the concentration of salt be a gram/L

Let the amount salt in the tank at any time t be Q(t).

$\frac{dQ}{dt} =\textrm {incoming rate - outgoing rate}$

Incoming rate = (a g/L)×(1 L/min)

=a g/min

The concentration of salt in the tank at any time t is = $\frac{Q(t)}{10}$ g/L

Outgoing rate = $(\frac{Q(t)}{10} g/L)(1 L/ min)$ $\frac{Q(t)}{10} g/min$

$\frac{dQ}{dt} = a- \frac{Q(t)}{10}$

$\Rightarrow \frac{dQ}{10a-Q(t)} =\frac{1}{10} dt$

Integrating both sides

$\Rightarrow \int \frac{dQ}{10a-Q(t)} =\int\frac{1}{10} dt$

$\Rightarrow -log|10a-Q(t)|=\frac{1}{10} t +c$ [ where c arbitrary constant]

Initial condition when t= 20 , Q(t)= 15 gram

$\Rightarrow -log|10a-15|=\frac{1}{10}\times 20 +c$

$\Rightarrow -log|10a-15|-2=c$

Therefore ,

$-log|10a-Q(t)|=\frac{1}{10} t -log|10a-15|-2$ .......(1)

In the starting time t=0 and Q(t)=0

Putting t=0 and Q(t)=0 in equation (1) we get

$- log|10a|= -log|10a-15| -2$

$\Rightarrow- log|10a|+log|10a-15|= -2$

$\Rightarrow log|\frac{10a-15}{10a}|= -2$

$\Rightarrow |\frac{10a-15}{10a}|=e ^{-2}$

$\Rightarrow 1-\frac{15}{10a} =e^{-2}$

$\Rightarrow \frac{15}{10a} =1-e^{-2}$

$\Rightarrow \frac{3}{2a} =1-e^{-2}$

$\Rightarrow2a= \frac{3}{1-e^{-2}}$

$\Rightarrow a = 1.73$

Therefore the concentration of salt in the incoming brine is 1.73 g/L

8 0

3 years ago

i need help with this question aka all the little questions in it. Will give brainliest!! Worth 10 pts but EXTRA if needed as pa

polet [3.4K]

A: x= 2.5
b: y= 12.9
c: z= 12
d: w= 2.75
e: t= 4
(Lemme know if it’s wrong)

6 0

3 years ago

Read 2 more answers

Need help on question 8 asap

s344n2d4d5 [400]

A) 8 chocolate chip cookies

B) The ratio of sugar to oatmeal is 2:3 because there are 12 sugar and 18 oatmeal. 12/18 simplified is 2/3.

6 0

4 years ago

I don’t understand the polynomials

Serhud [2]

Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

A polynomial can have:

constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...

... except ...

... not division by a variable (so something like 2/x is right out)

So:

A polynomial can have constants, variables and exponents,
but never division by a variable.

Also they can have one or more terms, but not an infinite number of terms.

These are polynomials:

3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)

These are not polynomials

3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)

But these are allowed:

x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)

7 0

3 years ago