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2 years ago

How are angles formed by intersecting lines related?

Mathematics

1 answer:

Montano1993 [528]2 years ago

4 0

Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.

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What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the

marishachu [46]

The sum of all the measurements is just the average times the number.

$\bar x = \frac{1}{n} \sum_{i=1}^n x_i$

$\sum_{i=1}^n x_i = n \bar x$

So if the average of all 92 is 7 the sum of those is $92 \times 7$

The average of the last two is 7.2 so their sum is $2 \times 7.2$

That means the sum of the first 90 is $92 \times 7 - 2 \times 7.2$

so the average of the first 90 is

$\dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556$ cm

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3 years ago

A triangle in the coordinate plane has vertices ????(0,10), ????(−8,8), and ????(−3,5). Is it a right triangle? If so, at which

GaryK [48]

Answer:

It is a right triangle, the right angle is at the point (-3, 5)

Step-by-step explanation:

The first step is to locate the points of the vertices in a plane, in this case they are (0.10), (-8.8) and (-3.5). The desmostration of this is shown in the attached image.

As we can see it is formed a right triangle (the figure outlined in red), and the rigth angle is the one at the point (-3,5).

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3 years ago

A rectangular safe can hold 5,184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the s

julsineya [31]

Volume = length x width x height:

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3 years ago

Read 2 more answers

Find the perimeter of the window to the nearest hundredth.<br><br> also how do you do it?

k0ka [10]

<em>I am assuming the picture is of a stained glass window in the shape of a semicircle</em>.

Answer: 7.71 feet.

Step-by-step explanation: <em>The formula for finding the circumference of a circle is $\frac{1}{2}$ π × d + d.</em>

The diameter is 3 feet. Substitute this into the equation:

$\frac{1}{2}$ π × 3 + 3.

Solve -

3.14 × 3 = 9.42

$\frac{1}{2}$ of 9.42 = 4.71

4.71+3 = 7.71

Round -

The answer is already rounded.

Hope this helped!~

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4 years ago

the center of a circle is on the line y=2x and the line x=1 is tangent to the circle at (1,6).find the center and the radius

Julli [10]

The radius and the center of the circle are 4 units and (1,2), respectively

<h3>How to determine the center and the radius?</h3>

The center of the circle is on

y = 2x and x = 1

Substitute x = 1 in y = 2x

y = 2 * 1

Evaluate

y = 2

This means that the center is

Center = (1, 2)

Also, we have the point of tangency to be:

(x, y) = (1, 6)

This point and the center have the same x-coordinate.

So, the distance between this point and the center is

d = 6 - 2

d = 4

This represents the radius

Hence, the radius and the center of the circle are 4 units and (1,2), respectively

How are angles formed by intersecting lines related?​

How are angles formed by intersecting lines related?