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4 years ago

Solve for x. Show your work. For each picture, please

Mathematics

1 answer:

finlep [7]4 years ago

8 0

If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.

#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
5x = 35
x = 7

#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
4x = 24 - 16
4x = 8
x = 8/4
x = 2

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Find the pattern rule for 1 - 210 2 - 200 3 - 190 4 - 180 5 - 170

chubhunter [2.5K]

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3 years ago

What is the area and perimeter of this triangle

Fynjy0 [20]

Answer:

P= 221cm

A=2044

Step-by-step explanation:

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Area: 73(56/2)= 2044

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3 years ago

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Angle ABC is taken by a dilation with the center P and scale factor 3 to angle A'B'C'

xxTIMURxx [149]

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

8 0

3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

4 0

3 years ago

Idk this plz help me

Alik [6]

Answer:

1. {12,0}

hope it helps.

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3 years ago

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