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puteri [66]

3 years ago

s 2 {?}^{2} " alt="(7 - 8) \times 2 {?}^{2} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

VLD [36.1K]3 years ago

5 0

The correct answer is -4x

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In the figure, lines a, b, and c are parallel and m∠4=68° . Drag and drop the correct angle measure for each angle. m∠1 = m∠2 =

melisa1 [442]

The complete question in the attached figure

we have that
m∠4=68°

we know that
m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°

m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°

m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°

m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°

the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°

3 0

3 years ago

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Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the

frozen [14]

Answer:

$y = Ke^{5.2t}$

Exponential growth

Step-by-step explanation:

We can solve this differential equation by the separation of variables method.

We have that:

$\frac{dy}{dt} = 5.2y$

$\frac{dy}{y} = 5.2dt$

Integrating both sides

$\ln{y} = 5.2t + K$

In which K is the value of y when t = 0.

We apply the exponential to both sides, so:

$y = Ke^{5.2t}$

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.

6 0

3 years ago

Josie has $47 left on her checking account. If she writes a check for $55, what ill josie's balance be?

Sidana [21]

Well technically the check will not go through because she does not have a balance greater than or equal to $55, but if you need an answer it would be $47-$55= $-8.

8 0

3 years ago

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What is the scale factor of this dilation? 1/2, 2/3, 3/4, 3/2

Butoxors [25]

3/4, is right i think

6 0

3 years ago

Can you help me i dont know thw anwser

Margaret [11]

$\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\$

$\text{Hence the area of square 3 is 400 units}^2.$

8 0

3 years ago

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