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2 years ago

Choose an equation for the relationship between the measures of the segments, angles, and arcs.

Mathematics

2 answers:

VLD [36.1K]2 years ago

8 0

I think it is the first one

harkovskaia [24]2 years ago

6 0

Answer: $\overline{PQ}=\overline{PR}$

Step-by-step explanation:

Tangent :- A line that touches a curve or circle at a point but if extended does not cross it at that point.

From the given picture, it can be seen that $\overline{PR}\text{ and }\overline{PQ}$ are two tangents on circle from an external point P .

We know that the length of any two tangents drawn from any external point to the circle are congruent.

Therefore, the equation for the relationship between the measures of the segments will be:-

$\Rightarrow\overline{PQ}=\overline{PR}$

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5(9) - 3
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2 years ago

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

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2 years ago

2x-4/5=4<br> plsss answer quick

nikdorinn [45]

Answer:

Step-by-step explanation:

$\frac{2x - 4}{5} =4$

First of all multiply through by 5 to eliminate the fraction

That's

$5 \times \frac{2x - 4}{5} = 4 \times 5 \\ 2x - 4 = 20$

Next using the addition property add 4 to both sides of the equation

We have

$2x - 4 + 4 = 20 + 4 \\ 2x = 24$

<u>Divide both sides by 2</u>

$\frac{2x}{2} = \frac{24}{2}$

We have the final answer as

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3 years ago

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Vlad1618 [11]

Answer:

Step-by-step explanation:

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2 years ago