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4 years ago

4. Find x if PQ = RS, PQ = 9x - 7, and RS = 29.

Mathematics

1 answer:

Gnoma [55]4 years ago

4 0

Answer:

x=4

Step-by-step explanation:

Because we know that PQ = RS, we can use the transitive property to replace PQ in the first equation with 29:

9x-7=29

1) Add 7 to both sides:

9x=36

2) divide by 9 on both sides:

x=4

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In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction

tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

$\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2$

$m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle$

$360^\circ =$Total Angle$

Therefore, the formula is:

$\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}$

Therefore, the formula is best explained by Option A.

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3 years ago

Denine learns that about 3 out of 14 people in Mexico are under the age of 15.

gtnhenbr [62]

Answer:

I belive the answer is 21.42% :)

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3 years ago

Read 2 more answers

Write the following probability as a percentage 3/5

cupoosta [38]

Hi there,

The percentage of 3/5 would be %60

3/5
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Now you have 60/100, turn that into a percentage and you have %60.

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4 years ago

1/2x+1/3y=5 and 1/4x+y=10 solve this system by substitution

qaws [65]

Answer:

(x, y) = (4, 9)

Step-by-step explanation:

You can use the second equation to write an expression for y.

y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation

Now, substitute that for y in the first equation:

1/2x + 1/3(10 -1/4x) = 5

1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses

You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.

5/12x = 5/3 . . . . . subtract 10/3

x = (5/3)/(5/12) = 12/3 = 4

From above, we can use our expression for y:

y = 10 - 1/4·4 = 9

The solution is (x, y) = (4, 9).

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3 years ago

a right cone has 3 cm and right cylinder of radius 4 cm have equal volumes.Find the ratio of the height of the cone to that of t

ioda

Answer:

Step-by-step explanation:

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i really hope this help u :)

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