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Delvig [45]
3 years ago
5

Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Answer:

b² = a² + c² - 2ac cos B

Step-by-step explanation:

The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.

The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.

For sides a, b and c the cosine rule can be represented below

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

The equation required base on your question is

b² = a² + c² - 2ac cos B

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3 years ago
The slope of the line below is -1/7.
KatRina [158]

Answer:

y = (-1/7)x + (24/7)

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.

y = mx + b                                    <----- Slope-intercept form

y = (-1/7)x + b                                <----- Plug -1/7 into "m"

3 = (-1/7)(3) + b                             <----- Plug in "x" and "y" values from point (3,3)

3 = -3/7 + b                                  <----- Multiply -1/7 and 3

24/7 = b                                      <----- Add 3/7 to both sides

Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.

y = (-1/7)x + (24/7)

3 0
2 years ago
In figure if AB is parrallel to CD,
lara31 [8.8K]

Answer:

Yes

Step-by-step explanation:

They are parallel lines basically, ingnore the measurements and the traingle, they were put there to confuse you.

Hope this helps

Never30

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From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.
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3 years ago
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