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2 years ago

Solve for x. Assume that lines which appear to be diameters are actual diameters.

Mathematics

1 answer:

Natalija [7]2 years ago

3 0

Answer:

Answer is B) -11

Step-by-step explanation:

x + 161 + 131 + 79 = 360°

x + 371 = 360

x = 360 - 371

x = -11

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What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

3 years ago

Angle A and B are supplementary. Angle a has a measure of 80. What is the measure of angle B? The measure of angle B is

ololo11 [35]

Well when two angles are supplementary they equal 180.
So if angle A is 80 degrees then that would mean that angle B equals 100 degrees.

Hope This Helped :)

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3 years ago

In the 1920s, the continued rise in the stock market and economic growth depended most on

Pachacha [2.7K]

Credit. That's why the stock market crash was so terrible in 1929.

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3 years ago

Tyrone paid $2,800 plus 7% sales tax on mountain bikes for a bike club.How much did Tyrone pay in total for the mountain bikes?

timurjin [86]

2800 x 0.07 = 196
2800 + 196 = 2996
Total paid = $2996

8 0

3 years ago

Right trapezoid WXYZ is shown. Right trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. Angle W is 73 degrees and angle

cestrela7 [59]

Answer:

∠WXY = 107°

Step-by-step explanation:

In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.

Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

I hope this helps :))

8 0

3 years ago

Solve for x. Assume that lines which appear to be diameters are actual diameters.​

Solve for x. Assume that lines which appear to be diameters are actual diameters.