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zavuch27 [327]
3 years ago
5

Given a∥b and c∥d, m<4=35. find m<1, m<2, and m<3

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

<2 = 35degrees

<3 = 55degrees

Step-by-step explanation:

Find the diagram attached:

From the diagram:

<3 + <4 = 90

<3 + 35 = 90

<3 = 90 - 35

<3 = 55degrees

Also m<1 + m<2+ m<3 = 180 (sum of angles in a traingle)

90+<2+55=180

145+<2 = 180

<2 = 180 - 145

<2 = 35degrees

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Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that P = 600, t = 5, r = 0.02, n = 1. Thus

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 600(1 + \frac{0.02}{1})^{t}

A(t) = 600(1.02)^t

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

A(5) = 600(1.02)^5 = 662.5

The value of this investment at the end of the 5 years is of $662.5.

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How will you know that the expression is a perfect square trinomial?
Alexus [3.1K]

Answer:

An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.

Step-by-step explanation:

An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.

Now, the conditions for which an equation will be called a perfect square trinomial are;

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Thus, the perfect square formula could take the following forms:

(ax)² + 2abx + b² = (ax + b)²

Or

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pantera1 [17]

Given:

There are given that the polynomial:

z^2-z^4+2z^2

Explanation:

According to the concept, trinomial is three terms, and binomial means two terms.

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