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Sauron [17]
3 years ago
10

Which postulate/theorem proves the two larger triangles are congruent?

Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

the sss rule.three sides of one triangle are equal to another triangle .then the triangles are congruent...

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What is the domain of this exponential function?
Pavlova-9 [17]

Answer:

Domain = x E R

Step-by-step explanation:

Since an exponential function has no restriction on the "x" value, its domain can range from anywhere on the plane of "x."

3 0
3 years ago
Help me with this please
nalin [4]
This is incorrect. X can be negative, making the expression on the left less than 0. If x were -10, then:
3 x -10 + 1 > 0
-30 + 1 > 0
-29 > 0
Is NOT true.
5 0
2 years ago
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of app
AfilCa [17]

Answer:

Q(t) = 4.5(1.013)^{t}

The world population at the beginning of 2019 will be of 7.45 billion people.

Step-by-step explanation:

The world population can be modeled by the following equation.

Q(t) = Q(0)(1+r)^{t}

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.

This means that Q(0) = 4.5, r = 0.013

So

Q(t) = Q(0)(1+r)^{t}

Q(t) = 4.5(1.013)^{t}

What will the world population be at the beginning of 2019 ?

2019 - 1980 = 39. So this is Q(39).

Q(t) = 4.5(1.013)^{t}

Q(39) = 4.5(1.013)^{39} = 7.45

The world population at the beginning of 2019 will be of 7.45 billion people.

6 0
3 years ago
A model ship is built to a scale of 1 cm : 5m. The length of the model is 25 cm. What is the length of the actual ship?
Anestetic [448]

Answer:

<em>The length of the actual ship is 125 meters.</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.

A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.

The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.

The length of the actual ship is 125 meters.

7 0
2 years ago
What is the inverse of the function f(x) = 2x – 10
BartSMP [9]

Answer:

y = 1/2x +5

Step-by-step explanation:

change f(x) to y

y = 2x - 10

then switch x and y

x = 2y - 10

then solve for y

add 10 to both sides and divide both sides by 2

6 0
2 years ago
Read 2 more answers
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