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3 years ago

Is there enough information to prove that the triangles are congruent?

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

6 0

Answer:

Yes, there is enough information to prove that the triangles are congruent.

ASA POSTULATE

Step-by-step explanation:

$In\:\triangle PQR \: and \triangle TSR\\$

$\angle PQR \cong \angle TSR...(given) \\$

$QR\cong SR..... (given) \\$

$\angle PRQ \cong\angle TRS\\(Vertical \: \angle s) \\$

$\therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate)$

Genrish500 [490]3 years ago

6 0

Answer:

Step-by-step explanation:

Given

One angle and a side of one triangle are congruent to same on another triangle

Also angle R is vertical and therefore equal for both triangles

We have two angles and included side congruence which is ASA

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This is my last question please help asap!!

Ivanshal [37]

The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

$rate(m) = \frac{f(b)-f(a)}{b-a}$

The given function is $g(x) = 5(2)^{x}$ ,

Now calculating the average rate of change of function from x = 1 to x = 2.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10$

Now, calculate the average rate of change of function from x = 3 to x = 4.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40$

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1

7 0

1 year ago

Two bags with 3 oranges in each bag is the same amount as 3 bags with 2 oranges in each bag. Which property of multiplication do

kodGreya [7K]

Answer:

Commutative Property

Step-by-step explanation:

The property of multiplication that is being demonstrated is known as Commutative Property. This property basically shows that when multiplying two numbers the actual order in which they are multiplied does not matter and does not affect the result at all. For example, the in this scenario to get the total number of oranges we have to multiply the number of bags by the number of oranges in each bag, but whatever way we do this they equal the same

2 bags * 3 oranges per bag = 6 oranges

3 bags * 2 oranges per bag = 6 oranges

Therefore,

2 * 3 = 3 * 2

7 0

3 years ago

The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacter

Drupady [299]

Answer:

f(x) = 50000*2^x
3 days

Step-by-step explanation:

Given:

Initial amount of bacteria = 50000
Growth rate = 2 times a day

Required equation:

f(x) = 50000*2^x

Solve for x:

400000 = 50000*2^x
2^x = 400000/50000
2^x = 8
2^x = 2^3
x = 3

After 3 days bacteria numbers will reach 400000

5 0

3 years ago

What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?

natima [27]

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

4 0

4 years ago

Solve 0.09 divided by 0.3

Cloud [144]

Answer:

0.3.

Step-by-step explanation:

0.3|0.09

move the decimal over once on both sides.

03|.9

03.|.9

- 9

_______

4 0

4 years ago