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2 years ago

Point P is on line segment OQ. Given OQ = 4x + 2, PQ = 4x – 10, and

Mathematics

2 answers:

Verizon [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Since, Point P is on line segment OQ.

$\therefore O - P - Q\\\\\therefore OP + PQ = OQ\\\\\therefore 3x - 3 + 4x - 10 = 4x + 2\\\\\therefore 7x - 13 = 4x + 2\\\\\therefore 7x - 4x = 2 + 13\\\\\therefore 3x = 15\\\\\therefore x = \frac{15}{3}\\\\\huge \purple {\therefore x = 5} \\\\OQ = 4x + 2 = 4\times 5 + 2 = 20 + 2\\\\\huge \orange {\boxed {OQ = 22}}$

Natali5045456 [20]2 years ago

7 0

Answer:

OQ=5

Step-by-step explanation:

The formula:

OP+PQ=OQ

Fill in the values for each segment using the values given:

3x-3+4x-10=4x+2

OP^ PQ^ OQ^

Simplify by adding like terms:

3x-3+4x-10=4x+2

7x-3-10=4x+2

add 13 to the right to isolate the variable:

7x-13=4x+2

+13 +13

7x=4x+15

subtract 4x to the left to isolate the variable:

7x=4x+15

-4x -4x

3x=15

Divide both sides by 3 to get the variable by itself:

3x=15

3 3

x=5 so OQ=5

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Kevin will take 4 math tests this term. All of the tests are worth the same number of points. After taking the first 3 tests, hi

DiKsa [7]

Answer:

Let the test scores be x1, x2, x3, x4

(x1 + x2 + x3)/3 = 88

x1 + x2 + x3 = 264

(x1 + x2 + x3 + x4)/4 = 90

264 + x4 = 360

x4 = 360-264

x4 = 96

Therefore he should get 96 marks in his 4th test to raise his mean test score to 90

The mean score is the total of all scores divided by the total no. Of tests

Hope this helps!

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2 years ago

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sammy [17]

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3 years ago

Sam decides to build a square garden. If the area of the garden is 9x2 − 24x + 16 square feet, what is the length of one side of

Pachacha [2.7K]

(3x − 4) feet

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2 years ago

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Suppose a poker hand contains seven cards rather than five. Compute the probabilities of the following poker hands: (a) a seven-

geniusboy [140]

Answer:

a) 0.00031

b) 0.0017

c) 0.31

d) 0.00018

Step-by-step explanation:

attached below is the detailed solution

Total number of 7-poker cards are 52P7 = 133784560

A) Determine the probabilities of Seven-card straight

probability of seven-card straight = 0.00031

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P( four cards of one rank and three of different rank ) = 0.0017

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2 years ago

2n-n-4+7n in simplest form

MrMuchimi

2n-n-4+7n in simplest form is found by combining like terms:

(2-1+7)n - 4 = 8n-4, or 4(2n-1)

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2 years ago