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2 years ago

Please help with this math problem!! :)

Mathematics

1 answer:

Elza [17]2 years ago

5 0

Answer:

x + 150 deg = 180deg (being co-interior angles)

:. x = 30 deg

2. y^2 + 7= 32 ( opposite sides of parallelogram are equal)

or, y^2 = 25

or y^2 = 5^2

: . y = 5

3. k= 2y^2 ( opposite sides of parallelogram are equal)

or, k = 2× 5^2

: . k = 50

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Which line is parallel to the line<br> shown below?

Travka [436]

<h3>Answer: Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

$(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2) = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\$

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

$3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1$

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

slope of equation B is 3/4
slope of equation C is -4/3
slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

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2 months ago

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Nimfa-mama [501]

Answer:

y = 3 $\sqrt{7}$

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

$\frac{y}{9}$ = $\frac{7}{y}$ ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = $\sqrt{63}$ = 3 $\sqrt{7}$

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2 years ago

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jarptica [38.1K]

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Multiplication by 10ⁿ → move decimal n places to the right.

Multiplication by 10⁻ⁿ → move decimal n places to the left.

For n ∈ N

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2 years ago

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sineoko [7]

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VikaD [51]

Answer:

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2 years ago

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