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3 years ago

If a b and m∠2 = 71°, what is m∠1?

Mathematics

1 answer:

Nikolay [14]3 years ago

8 0

Answer:

71°

Step-by-step explanation:

In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.

If a║b, then ∠1 and ∠2 are corresponding, hence congruent.

m∠1 = m∠2 = 71°

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A dilation with a scale factor of 3. 5 and centered at the origin is applied to PQ¯¯¯¯¯ with endpoints P(2, 5) and Q(2, 1)

velikii [3]

Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).

Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.

The end points of segment PQ are P(2, 5) and Q(2, 1).

Therefore, after dilation, the coordinates of the end points become

Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).

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2 years ago

What is a simple event?

konstantin123 [22]

Answer:

an event with no possible outcomes

Step-by-step explanation:

because there is only one posible thing that can happen

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3 years ago

Evaluate the expression 7+3²× 2

disa [49]

Answer:

Step-by-step explanation:

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3 years ago

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi

anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is $P(0) = 1000$

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

$\frac{dP}{dt} = kP$

In which k is the growth rate.

By separation of variables, the solution is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is $P(0) = 1000$

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3 years ago

F(x) = 4x² + 5x - 3<br> g(x) = 4x³<br> 3x² + 5<br> Find (f+g)(x).

Dmitriy789 [7]

Answer:

$4x^3+7x^2+5x+2$

Step-by-step explanation:

Given:

$f(x)=4x^2+5x-3$

$g(x)=4x^3+3x^2+5$

$\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}$

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2 years ago