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KatRina [158]
4 years ago
14

Please help and explain step by step​

Mathematics
1 answer:
Mila [183]4 years ago
6 0

Answer:

92 cm

Step by step explanation:

first: you divide the rectangle into two right angled triangles using the diagonal

secondly:

you use pythagoras theorem to find the width of the rectangle

110²= 60²+ w²

w²= 110²- 60²

w²= 12100- 3600

w²= 8500

w= 92.195

w= 92 cm

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Given: D is the midpoint of AB; E is the midpoint of AC.
Thepotemich [5.8K]

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

Slope, \, m =\dfrac{c - c}{a + b-b} = 0

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

Slope, \, m =\dfrac{0 - 0}{2a-0} = 0

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

5 0
3 years ago
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Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't
N76 [4]

Answer:

I believe its $5492.99

Step-by-step explanation:

First I divided $160 by 3%.

Than I multiplied my answer by 1.03.

4 0
4 years ago
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Write an expression, using an exponent, that is equivalent to 9\times 9\times 9\times 9\times 9\times 9\times 99×9×9×9×9×9×9
jeka57 [31]
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7 0
3 years ago
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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)
choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

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I will mark brainly if correct
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I believe option 3 is the correct answer! Multiply the (days) by 37.5!
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