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Klio2033 [76]
3 years ago
13

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V

. The length of line segment U V is (x minus 3) meters and the length of line segment V S is (3 x minus 13) meters. Quadrilateral RSTU is a parallelogram. What must be the value of x? 2 4 5 10
Mathematics
2 answers:
givi [52]3 years ago
5 0

Answer:

option 3: x=5

Step-by-step explanation:

just took quiz

stiv31 [10]3 years ago
3 0

Answer:

Option C.

Step-by-step explanation:

Given information: RSTU is a parallelogram, Digonals RT and SU intersect each other at point V, UV=(x-3) and VS=(3x-13).

According to the properties of a parallelogram, the diagonals of a parallelogram bisect each other.

Using the properties of parallelogram we can say that point V divides the diagonal SU in two equal parts, UV and VS.

VS=UV

3x-13=x-3

Subtract x from both sides.

2x-13=-3

Add 13 on both sides.

2x=10

Divide both sides by 2.

x=5

Therefore, the correct option is C.

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vova2212 [387]

Answer:

Radius = 21

Step-by-step explanation:

Volume of a sphere = 4/3 * pie * radius^3

12,348 pie = 4/3 * pie * radius ^3

12,348 = 4/3 * radius^3

(12,348 * 3)/ 4 = radius^3

9261 = radius^3

radius = \sqrt[3]{9261}

radius = 21

5 0
2 years ago
What is the distance between the points (4,-2) and )-5,3)?
abruzzese [7]

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

3 0
3 years ago
Emma borrowed $89.40 from her sister. She determines that she can pay her back the total over six months. Which number reflects
omeli [17]

Answer:

$14.9

Step-by-step explanation:

Step one:

given data

we are told that Emma borrowed $89.40 from her sister to pay her back in 6 months.

let us solve for the amount she is to pay her sister every month.

amount to be paid per month= 89.40/6

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So that every month she pays back her sister $14.9

we don't know her balance but every month there will be a deduction.

Hence the monthly change in her balance is reflected by a deduction of $14.9

5 0
3 years ago
Jacob buys 4 muffins for $5.00 how much are 7 muffins
Temka [501]
The answer is $8.75. You have to find what one costs which is 1.25 so if you have 7. 1.25 times 7 is $8.75
6 0
3 years ago
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quester [9]

Answer:

A

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By the Law of Sines,

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1 year ago
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